diff --git a/.gitignore b/.gitignore index 04c6858..461bc69 100644 --- a/.gitignore +++ b/.gitignore @@ -17,32 +17,17 @@ debug.log # protobuf data -- included in package *.dat +*.pb2 !crypto_condor/primitives/_testu01/examples/excel.dat # objects *.o -# compiled main -- included in package -main - # built docs docs/build # for importing NIST test vectors *.imported -# Kyber executables -- included in package -**/_kyber/kyber512 -**/_kyber/kyber512-90s -**/_kyber/kyber768 -**/_kyber/kyber768-90s -**/_kyber/kyber1024 -**/_kyber/kyber1024-90s - -# Dilithium executables -- included in package -**/_dilithium/dilithium2 -**/_dilithium/dilithium3 -**/_dilithium/dilithium5 - # built package dist/ diff --git a/crypto_condor/cli/run.py b/crypto_condor/cli/run.py index 97c9231..3e1ed29 100644 --- a/crypto_condor/cli/run.py +++ b/crypto_condor/cli/run.py @@ -14,13 +14,13 @@ ECDH, ECDSA, HMAC, + MLDSA, + MLKEM, RSAES, RSASSA, SHA, SHAKE, ChaCha20, - Dilithium, - Kyber, ) from crypto_condor.primitives.common import Console @@ -332,103 +332,6 @@ def ecdsa( raise typer.Exit(1) -# TODO: expand. -_kyber_help = "Run a Kyber wrapper" - - -@app.command(name="Kyber", no_args_is_help=True, help=_kyber_help) -@app.command(name="kyber", no_args_is_help=True, help=_kyber_help, hidden=True) -def kyber( - language: Annotated[Kyber.Wrapper, _language], - parameter_set: Annotated[ - Kyber.Paramset, - typer.Argument(help="The parameter set.", case_sensitive=False), - ], - encapsulate: Annotated[ - bool, - typer.Option( - "--encapsulate/--no-encapsulate", - help="Whether to test the encapsulation function.", - ), - ] = True, - decapsulate: Annotated[ - bool, - typer.Option( - "--decapsulate/--no-decapsulate", - help="Whether to test the decapsulation function.", - ), - ] = True, - filename: Annotated[str, _filename] = "", - no_save: Annotated[bool, _no_save] = False, - debug: Annotated[Optional[bool], _debug] = None, -): - """Runs a Kyber wrapper. - - Args: - language: The language of the wrapper to run. - parameter_set: The Kyber parameter set to use. - encapsulate: Whether to test the encapsulation function. - decapsulate: Whether to test the decapsulation function. - filename: Name of the file to save results. - no_save: Do not save results or prompt the user. - debug: When saving the results to a file, whether to add the debug data. - """ - if not encapsulate and not decapsulate: # pragma: no cover (not needed) - console.print( - "--no-encapsulate and --no-decapsulate used, no function to test." - ) - raise typer.Exit(1) - try: - results = Kyber.run_wrapper(language, parameter_set, encapsulate, decapsulate) - except Exception as error: - console.print(error) - raise typer.Exit(1) from error - if console.process_results(results, filename, no_save, debug): - raise typer.Exit(0) - else: - raise typer.Exit(1) - - -# TODO: expand. -_dilithium_help = "Run a Dilithium wrapper." - - -@app.command(name="Dilithium", no_args_is_help=True, help=_dilithium_help) -@app.command(name="dilithium", no_args_is_help=True, help=_dilithium_help, hidden=True) -def dilithium( - language: Annotated[Dilithium.Wrapper, _language], - parameter_set: Annotated[ - Dilithium.Paramset, - typer.Argument(help="The parameter set.", case_sensitive=False), - ], - sign: Annotated[bool, _sign] = True, - verify: Annotated[bool, _verify] = True, - filename: Annotated[str, _filename] = "", - no_save: Annotated[bool, _no_save] = False, - debug: Annotated[Optional[bool], _debug] = None, -): - """Runs a Dilithium wrapper. - - Args: - language: The language of the wrapper to run. - parameter_set: The Dilithium parameter set to use. - sign: Whether to test the signing function. - verify: Whether to test the verifying function. - filename: Name of the file to save results. - no_save: Do not save results or prompt the user. - debug: When saving the results to a file, whether to add the debug data. - """ - try: - results = Dilithium.run_wrapper(language, parameter_set, sign, verify) - except Exception as error: - console.print(error) - raise typer.Exit(1) from error - if console.process_results(results, filename, no_save, debug): - raise typer.Exit(0) - else: - raise typer.Exit(1) - - # TODO: expand. _sha_help = "Run a SHA wrapper." @@ -794,3 +697,85 @@ def ecdh( raise typer.Exit(0) else: raise typer.Exit(1) + + +# TODO: expand. +_mlkem_help = "Run a ML-KEM wrapper" + + +@app.command(name="MLKEM", no_args_is_help=True, help=_mlkem_help) +@app.command(name="mlkem", no_args_is_help=True, help=_mlkem_help, hidden=True) +def mlkem( + wrapper: Annotated[Path, typer.Argument()], + compliance: Annotated[bool, _compliance] = True, + resilience: Annotated[bool, _resilience] = False, + filename: Annotated[str, _filename] = "", + no_save: Annotated[bool, _no_save] = False, + debug: Annotated[Optional[bool], _debug] = None, +): + """Runs a ML-KEM wrapper. + + Args: + wrapper: The wrapper to test. + compliance: Whether to use compliance test vectors. + resilience: Whether to use resilience test vectors. + filename: Name of the file to save results. + no_save: Do not save results or prompt the user. + debug: When saving the results to a file, whether to add the debug data. + """ + if not wrapper.is_file(): + raise FileNotFoundError(f"ML-KEM wrapper not found: {str(wrapper)}") + + match wrapper.suffix: + case ".py": + results = MLKEM.run_python_wrapper(wrapper, compliance, resilience) + case _: + console.print( + "There is no ML-KEM runner defined for %s wrappers" % wrapper.suffix + ) + raise typer.Exit(1) + if console.process_results(results, filename, no_save, debug): + raise typer.Exit(0) + else: + raise typer.Exit(1) + + +# TODO: expand. +_mldsa_help = "Run a ML-DSA wrapper." + + +@app.command(name="MLDSA", no_args_is_help=True, help=_mldsa_help) +@app.command(name="mldsa", no_args_is_help=True, help=_mldsa_help, hidden=True) +def mldsa( + wrapper: Annotated[Path, typer.Argument()], + compliance: Annotated[bool, _compliance] = True, + resilience: Annotated[bool, _resilience] = False, + filename: Annotated[str, _filename] = "", + no_save: Annotated[bool, _no_save] = False, + debug: Annotated[Optional[bool], _debug] = None, +): + """Runs a ML-DSA wrapper. + + Args: + wrapper: The wrapper to test. + compliance: Whether to use compliance test vectors. + resilience: Whether to use resilience test vectors. + filename: Name of the file to save results. + no_save: Do not save results or prompt the user. + debug: When saving the results to a file, whether to add the debug data. + """ + if not wrapper.is_file(): + raise FileNotFoundError(f"ML-DSA wrapper not found: {str(wrapper)}") + + match wrapper.suffix: + case ".py": + results = MLDSA.run_python_wrapper(wrapper, compliance, resilience) + case _: + console.print( + "There is no ML-DSA runner defined for %s wrappers" % wrapper.suffix + ) + raise typer.Exit(1) + if console.process_results(results, filename, no_save, debug): + raise typer.Exit(0) + else: + raise typer.Exit(1) diff --git a/crypto_condor/constants.py b/crypto_condor/constants.py index b686ab4..163c87a 100644 --- a/crypto_condor/constants.py +++ b/crypto_condor/constants.py @@ -20,12 +20,12 @@ class Primitive(strenum.StrEnum): AES = "AES" CHACHA20 = "ChaCha20" - DILITHIUM = "Dilithium" ECDH = "ECDH" ECDSA = "ECDSA" FALCON = "Falcon" HMAC = "HMAC" - KYBER = "Kyber" + MLDSA = "MLDSA" + MLKEM = "MLKEM" RSASSA = "RSASSA" RSAES = "RSAES" SHA = "SHA" @@ -43,13 +43,13 @@ def get_languages(self): ECDH, ECDSA, HMAC, + MLDSA, + MLKEM, RSAES, RSASSA, SHA, SHAKE, ChaCha20, - Dilithium, - Kyber, ) match self: @@ -57,16 +57,16 @@ def get_languages(self): return AES.Wrapper case Primitive.CHACHA20: return ChaCha20.Wrapper - case Primitive.DILITHIUM: - return Dilithium.Wrapper + case Primitive.ECDH: + return ECDH.Wrapper case Primitive.ECDSA: return ECDSA.Wrapper case Primitive.HMAC: return HMAC.Wrapper - case Primitive.ECDH: - return ECDH.Wrapper - case Primitive.KYBER: - return Kyber.Wrapper + case Primitive.MLDSA: + return MLDSA.Wrapper + case Primitive.MLKEM: + return MLKEM.Wrapper case Primitive.RSASSA: return RSASSA.Wrapper case Primitive.RSAES: @@ -94,20 +94,6 @@ def get_languages(self): "wrapper": True, "harness": False, }, - Primitive.KYBER: { - "audit": False, - "method": True, - "output": None, - "wrapper": True, - "harness": True, - }, - Primitive.DILITHIUM: { - "audit": False, - "method": True, - "output": None, - "wrapper": True, - "harness": True, - }, Primitive.FALCON: { "audit": False, "method": True, @@ -171,6 +157,20 @@ def get_languages(self): "wrapper": True, "harness": False, }, + Primitive.MLDSA: { + "audit": False, + "method": True, + "output": True, + "wrapper": True, + "harness": True, + }, + Primitive.MLKEM: { + "audit": False, + "method": True, + "output": True, + "wrapper": True, + "harness": True, + }, } """Primitives and their supported CLI modes.""" diff --git a/crypto_condor/primitives/Dilithium.py b/crypto_condor/primitives/Dilithium.py deleted file mode 100644 index 7536958..0000000 --- a/crypto_condor/primitives/Dilithium.py +++ /dev/null @@ -1,577 +0,0 @@ -"""The CRYSTALS-Dilithium primitive.""" - -import ctypes -import importlib -import logging -import shutil -import subprocess -import sys -import tempfile -import zipfile -from importlib import resources -from pathlib import Path -from typing import Protocol - -import attrs -import cffi -import strenum -from rich.progress import track - -from crypto_condor.primitives.common import ( - DebugInfo, - Results, - ResultsDict, - TestType, - get_appdata_dir, -) -from crypto_condor.vectors.Dilithium import DilithiumVectors, Paramset - -# --------------------------- Module -------------------------------------------------- - -logger = logging.getLogger(__name__) - - -def __dir__(): # pragma: no cover - return [ - # Enums - Wrapper.__name__, - # Protocols - Sign.__name__, - Verify.__name__, - # Dataclasses - # Functions - run_wrapper.__name__, - test_sign.__name__, - test_verify.__name__, - # Imported - Paramset.__name__, - ] - - -# --------------------------- Dilithium C implementation ------------------------------ -_LIB_DIR: Path | None = None - - -def _get_lib_dir() -> Path: - """Returns the path to the directory containing the shared libraries. - - If the directory is not found it is created, the libraries compiled and installed. - """ - lib_dir = get_appdata_dir() / "Dilithium" - libs = [f"libpqcrystals_{str(pset).lower()}_ref.so" for pset in Paramset] - rsc = resources.files("crypto_condor") / "primitives/_dilithium" - install = False - - if not lib_dir.is_dir(): - _msg = ( - "Dilithium directory not found:" - " crypto-condor uses the reference implementation of Dilithium," - " which has to be compiled and installed locally" - ) - logger.warning(_msg) - logger.warning("Installation will be done at %s", str(lib_dir)) - lib_dir.mkdir(0o755, parents=True, exist_ok=True) - shutil.copyfile(str(rsc / "README.md"), lib_dir / "README.md") - shutil.copyfile(str(rsc / "dilithium.patch"), lib_dir / "dilithium.patch") - install = True - - files = [file.name for file in lib_dir.iterdir()] - if any([lib not in files for lib in libs]): - install = True - - if install: - lib_zip = rsc / "dilithium.zip" - with tempfile.TemporaryDirectory() as tmpdir: - with zipfile.ZipFile(str(lib_zip)) as myzip: - myzip.extractall(tmpdir) - # UNIX-y way of testing whether the CPU supports AVX2. - # try: - # output = subprocess.check_output( - # ["cc", "-march=native", "-dM", "-E", "-"], - # stdin=subprocess.DEVNULL, - # timeout=1.0, - # text=True, - # ) - # has_avx2 = "AVX2" in output - # except (FileNotFoundError, subprocess.CalledProcessError): - # has_avx2 = False - # cwd = lib_dir / "avx2" if has_avx2 else lib_dir / "ref" - try: - subprocess.run( - ["make", "shared"], - cwd=Path(tmpdir) / "dilithium/ref", - check=True, - capture_output=True, - timeout=15.0, - ) - except subprocess.CalledProcessError: - logger.critical("Failed to compile Dilithium") - raise - for lib in libs: - src = Path(tmpdir) / "dilithium/ref" / lib - shutil.move(src, lib_dir) - logger.info("Dilithium implementation installed") - - global _LIB_DIR - _LIB_DIR = lib_dir - - return lib_dir - - -# --------------------------- Enums --------------------------------------------------- - - -class Wrapper(strenum.StrEnum): - """Available wrappers.""" - - PYTHON = "Python" - - -# --------------------------- Protocols ----------------------------------------------- - - -class Sign(Protocol): - """Represents a function that signs messages with Dilithium. - - The function to test must conform to :meth:`__call__`. - """ - - def __call__(self, secret_key: bytes, message: bytes) -> bytes: - """Signs a message with Dilithium. - - Args: - secret_key: The key to use for signing. - message: The message to sign. - - Returns: - The signed message, i.e. the concatenation of the signature and message. - """ - - -class Verify(Protocol): - """Represents a function that verifies Dilithium signatures. - - The function to test must conform to :meth:`__call__`. - """ - - def __call__(self, public_key: bytes, signature: bytes, message: bytes) -> bool: - """Verifies a Dilithium signature. - - Args: - public_key: The public part of the key used to sign the message. - signature: The signature to verify. - message: The message that was signed. - - Returns: - True if the signature is valid for the given key and message. - """ - - -# --------------------------- Dataclasses --------------------------------------------- - - -@attrs.define -class SignData: - """Debug data for :func:`test_sign`. - - Args: - info: Common debug info, see :class:`crypto_condor.primitives.common.DebugInfo`. - sk: The secret key. - msg: The message to sign. - sm: The expected signed message. - res: The resulting signature. - """ - - info: DebugInfo - sk: bytes - msg: bytes - sm: bytes - res: bytes | None - - def __str__(self) -> str: - """Returns a string representation.""" - s = f"""{str(self.info)} -sk = {self.sk.hex()} -msg = {self.msg.hex()} -sm = {self.sm.hex()} -res = {self.res.hex() if self.res else ''} -""" - return s - - -@attrs.define -class VerifyData: - """Debug data for :func:`test_verify`. - - Args: - info: Common debug info, see :class:`crypto_condor.primitives.common.DebugInfo`. - pk: The public key. - sig: The signature to verify. - msg: The signed message. - """ - - info: DebugInfo - pk: bytes - sig: bytes - msg: bytes - - def __str__(self) -> str: - """Returns a string representation.""" - s = f"""{str(self.info)} -pk = {self.pk.hex()} -sig = {self.sig.hex()} -msg = {self.msg.hex()} -""" - return s - - -# --------------------------- Internal ------------------------------------------------ - - -def _sign(paramset: Paramset, secret_key: bytes, message: bytes) -> bytes: - """Signs a message. - - Uses the reference implementation. - - Args: - paramset: The Dilithium parameter set to use. - secret_key: The key to use for signing. - message: The message to sign. - - Returns: - The signed message, which is the concatenation of the signature generated and - the message. - """ - n = str(paramset)[-1] - lib_dir = _LIB_DIR or _get_lib_dir() - lib_path = lib_dir / f"libpqcrystals_dilithium{n}_ref.so" - lib = ctypes.cdll.LoadLibrary(str(lib_path.absolute())) - - sign = lib[f"pqcrystals_dilithium{n}_ref"] - sign.argtypes = [ - ctypes.POINTER(ctypes.c_uint8), # sm - ctypes.POINTER(ctypes.c_size_t), # smlen - ctypes.POINTER(ctypes.c_uint8), # m - ctypes.c_size_t, # mlen - ctypes.POINTER(ctypes.c_uint8), # sk - ] - sign.restype = ctypes.c_int - - # len(sm) = len(sig) + len(m), where len(sig) = CRYPTO_BYTES - _smlen = paramset.sig_size + len(message) - sm = (ctypes.c_uint8 * _smlen)() - # Use separate buffers for sm and m -- tried to combine them, didn't work. - m = (ctypes.c_uint8 * len(message)).from_buffer_copy(message) - sk = (ctypes.c_uint8 * len(secret_key)).from_buffer_copy(secret_key) - smlen = ctypes.c_size_t() - - sign(sm, smlen, m, len(message), sk) - if smlen.value != _smlen: - # We know smlen in advance so ensure the result is coherent. - raise ValueError(f"Wrong smlen returned {smlen.value} (expected {_smlen})") - - return bytes(sm) - - -def _verify( - paramset: Paramset, - public_key: bytes, - signature: bytes, - message: bytes | None = None, -) -> bool: - """Verifies a signed message. - - Uses the reference implementation. - - Args: - paramset: The Dilithium parameter set to use. - public_key: The public key. - signature: The signature to verify. If message is None, it is considered to be - the signed message, i.e. (sig || msg). - message: The message that was signed. - - Returns: - True if the signature is valid, False otherwise. - - Raises: - ValueError: If an error running the verification function occurred. - """ - n = str(paramset)[-1] - lib_dir = _LIB_DIR or _get_lib_dir() - lib_path = lib_dir / f"libpqcrystals_dilithium{n}_ref.so" - lib = ctypes.cdll.LoadLibrary(str(lib_path.absolute())) - - verify = lib[f"pqcrystals_dilithium{n}_ref_open"] - verify.argtypes = [ - ctypes.POINTER(ctypes.c_uint8), # m - ctypes.POINTER(ctypes.c_size_t), # mlen - ctypes.POINTER(ctypes.c_uint8), # sm - ctypes.c_size_t, # smlen - ctypes.POINTER(ctypes.c_uint8), # pk - ] - verify.restype = ctypes.c_int - - if message is None: - # signature is the signed message (sig || msg) - _smlen = len(signature) - _sm = signature - else: - # len(sm) = len(sig) + len(m), where len(sig) = CRYPTO_BYTES - _smlen = paramset.sig_size + len(message) - # Get signed message by concatenating signature and message. - _sm = signature + message - sm = (ctypes.c_uint8 * _smlen).from_buffer_copy(_sm) - pk = (ctypes.c_uint8 * len(public_key)).from_buffer_copy(public_key) - mlen = ctypes.c_size_t() - - # We can pass the same buffer for both m and sm. - return verify(sm, mlen, sm, sm._length_, pk) == 0 - - -# --------------------------- Test functions ------------------------------------------ - - -def test_sign(sign: Sign, parameter_set: Paramset) -> Results: - """Tests a function that signs with Dilithium. - - Signs messages with the given function and compares to the expected signature. - - Args: - sign: The function to test, must behave like :protocol:`Sign`. - parameter_set: The parameter set to test the implementation on. - - Returns: - The results of testing the given implementation with test vectors generated for - the NIST submission. - """ - results = Results( - "Dilithium", - "test_sign", - "Tests a function that signs with Dilithium", - {"parameter_set": parameter_set}, - ) - vectors = DilithiumVectors.load(parameter_set) - for test in track(vectors.tests): - info = DebugInfo(test.count, TestType.VALID, ["Compliance"]) - try: - sm = sign(test.sk, test.msg) - except Exception as error: - info.error_msg = f"Signing failed, caught exception: {error}" - results.add(SignData(info, test.sk, test.msg, test.sm, None)) - continue - if sm == test.sm: - info.result = True - else: - info.error_msg = "Wrong signature" - results.add(SignData(info, test.sk, test.msg, test.sm, sm)) - return results - - -def test_verify(verify: Verify, parameter_set: Paramset) -> Results: - """Tests a function that verifies Dilithium signatures. - - Args: - verify: The function to test, must behave like :protocol:`Verify`. - parameter_set: The parameter set to test the implementation on. - - Returns: - The results of testing the given implementation with test vectors generated for - the NIST submission. - """ - results = Results( - "Dilithium", - "test_verify", - "Tests a function that verifies Dilithium signatures.", - {"parameter_set": parameter_set}, - ) - vectors = DilithiumVectors.load(parameter_set) - for test in track(vectors.tests): - info = DebugInfo(test.count, TestType.VALID, ["Compliance"]) - sig = test.sm[: parameter_set.sig_size] - msg = test.sm[parameter_set.sig_size :] - try: - res = verify(test.pk, sig, msg) - except Exception as error: - info.error_msg = f"Verification failed, caught exception: {error}" - logger.debug(info.error_msg) - results.add(VerifyData(info, test.pk, sig, msg)) - continue - if res: - info.result = True - else: - info.error_msg = "Valid signature rejected" - results.add(VerifyData(info, test.pk, sig, msg)) - return results - - -# --------------------------- Runners ------------------------------------------------- - - -def _run_python( - parameter_set: Paramset, run_sign: bool, run_verify: bool -) -> ResultsDict: - """Runs the Python Dilithium wrapper. - - Args: - parameter_set: The parameter set to run with. - run_sign: Whether to use the signing function. - run_verify: Whether to use the verifying function. - - Returns: - A dictionary of results, one for sign, one for verify. The keys are "sign" and - "verify". - """ - wrapper = Path.cwd() / "dilithium_wrapper.py" - if not wrapper.is_file(): - raise FileNotFoundError( - "Can't find dilithium_wrapper.py in the current directory." - ) - - logger.info("Running Python Dilithium wrapper") - - # Add CWD to the path, at the beginning in case this is called more than - # once, since the previous CWD would have priority. - sys.path.insert(0, str(Path.cwd())) - - # Before importing the wrapper we check if it's already in the loaded - # modules, in which case we want to reload it or we would be testing the - # wrapper loaded previously. - imported = "dilithium_wrapper" in sys.modules.keys() - - # Import it normally. - try: - dilithium_wrapper = importlib.import_module("dilithium_wrapper") - except ModuleNotFoundError as error: - logger.debug(error) - raise FileNotFoundError("Can't load the wrapper!") from error - - # Then reload it if necessary. - if imported: - logger.debug("Reloading the Dilithium Python wrapper") - dilithium_wrapper = importlib.reload(dilithium_wrapper) - - results_dict = ResultsDict() - - if run_sign: - results_dict["sign"] = test_sign(dilithium_wrapper.sign, parameter_set) - if run_verify: - results_dict["verify"] = test_verify(dilithium_wrapper.verify, parameter_set) - - # To de-clutter the path, remove the CWD. - sys.path.remove(str(Path.cwd())) - - return results_dict - - -def run_wrapper( - language: Wrapper, - parameter_set: Paramset, - run_sign: bool, - run_verify: bool, -) -> ResultsDict: - """Runs the corresponding wrapper. - - Args: - language: The language of the wrapper to run. - parameter_set: The parameter set to use. - run_sign: Whether to run the signing function. - run_verify: Whether to run the verifying function. - - Returns: - A dictionary of results, one for sign, one for verify. The keys are ``sign`` and - ``verify``. - """ - match language: - case Wrapper.PYTHON: - return _run_python(parameter_set, run_sign, run_verify) - case _: - raise ValueError(f"Unsupported language {language}") - - -# --------------------------- Lib hook functions -------------------------------------- -def _test_lib_sign(ffi: cffi.FFI, lib, function: str, paramset: Paramset) -> Results: - logger.info("Testing lib function %s", function) - - ffi.cdef( - f"""void {function}(uint8_t *sig, size_t siglen, - const uint8_t *msg, size_t msglen, - const uint8_t *sk, size_t sklen);""" - ) - sign = getattr(lib, function) - - # Object sizes are fixed in Dilithium. - sig = ffi.new(f"uint8_t[{paramset.sig_size}]") - - def _hooked_sign(secret_key: bytes, message: bytes) -> bytes: - sk = ffi.new(f"uint8_t[{paramset.sk_size}]", secret_key) - msg = ffi.new(f"uint8_t[{len(message)}]", message) - sign(sig, paramset.sig_size, msg, len(message), sk, paramset.sk_size) - return bytes(sig) + bytes(msg) - - return test_sign(_hooked_sign, paramset) - - -def _test_lib_verify(ffi: cffi.FFI, lib, function: str, paramset: Paramset) -> Results: - logger.info("Testing lib function %s", function) - - ffi.cdef( - f"""int {function}(const uint8_t *sig, size_t siglen, - const uint8_t *msg, size_t msglen, - const uint8_t *pk, size_t pklen);""" - ) - verify = getattr(lib, function) - - def _hooked_verify(public_key: bytes, signature: bytes, message: bytes) -> bool: - pk = ffi.new(f"uint8_t[{paramset.pk_size}]", public_key) - sig = ffi.new(f"uint8_t[{paramset.sig_size}]", signature) - msg = ffi.new(f"uint8_t[{len(message)}]", message) - - r = verify(sig, paramset.sig_size, msg, len(message), pk, paramset.pk_size) - if r == 0: - return True - elif r == -1: - return False - else: - raise ValueError(f"Error: verify returned {r} (expected 0 or -1)") - - return test_verify(_hooked_verify, paramset) - - -def test_lib(ffi: cffi.FFI, lib, functions: list[str]) -> ResultsDict: - """Tests functions from a shared library. - - Args: - ffi: The FFI instance. - lib: The dlopen'd library. - functions: A list of CC_Dilithium functions to test. - """ - logger.info("Found harness functions %s", ", ".join(functions)) - - results = ResultsDict() - - for function in functions: - match function.split("_"): - case ["CC", "Dilithium", pset, ("sign" | "verify") as op]: - try: - paramset = Paramset(f"Dilithium{pset}") - except ValueError: - logger.error("Unknown param set %s", pset) - logger.warning("Skipped function %s", function) - continue - if op == "sign": - results[f"Dilithium/test_lib_sign/{str(paramset)}"] = ( - _test_lib_sign(ffi, lib, function, paramset) - ) - else: - results[f"Dilithium/test_lib_verify/{str(paramset)}"] = ( - _test_lib_verify(ffi, lib, function, paramset) - ) - case _: - logger.warning("Ignored unknown CC_Dilithium function %s", function) - return results - - -# ------------------------------------------------------------------------------------- -if __name__ == "__main__": - # Install Dilithium when called as a script. - _get_lib_dir() diff --git a/crypto_condor/primitives/Kyber.py b/crypto_condor/primitives/Kyber.py deleted file mode 100644 index 0665a07..0000000 --- a/crypto_condor/primitives/Kyber.py +++ /dev/null @@ -1,580 +0,0 @@ -"""The CRYSTALS-Kyber primitive.""" - -import importlib -import logging -import shutil -import subprocess -import sys -import tempfile -import zipfile -from importlib import resources -from pathlib import Path -from typing import Protocol - -import attrs -import cffi -import strenum -from rich.progress import track - -from crypto_condor.primitives.common import ( - DebugInfo, - Results, - ResultsDict, - TestType, - get_appdata_dir, -) -from crypto_condor.vectors.Kyber import KyberVectors, Paramset - -# --------------------------- Module -------------------------------------------------- - -logger = logging.getLogger(__name__) - - -def __dir__(): # pragma: no cover - return [ - # Enums - Wrapper.__name__, - # Protocols - Encapsulate.__name__, - Decapsulate.__name__, - # Dataclasses - # Functions - run_wrapper.__name__, - test_encapsulate.__name__, - test_decapsulate.__name__, - # Imported - Paramset.__name__, - ] - - -# --------------------------- Kyber C implementation ---------------------------------- -_LIB_DIR: Path | None = None - - -def _get_lib_dir() -> Path: - """Returns the path to the directory containing the Kyber shared libraries. - - If the directory is not found, it extracts the source files from the bundled zip - file. If the shared libraries are not found, it compiles them. - """ - lib_dir = get_appdata_dir() / "Kyber" - libs = [f"libpqcrystals_{str(pset).lower()}_ref.so" for pset in Paramset] - rsc = resources.files("crypto_condor") / "primitives/_kyber" - install = False - - if not lib_dir.is_dir(): - _msg = ( - "Kyber directory not found:" - " crypto-condor uses the reference implementation of Kyber," - " which has to be compiled and installed locally" - ) - logger.warning(_msg) - logger.warning("Installation will be done at %s", str(lib_dir)) - lib_dir.mkdir(0o755, parents=True, exist_ok=True) - shutil.copyfile(str(rsc / "README.md"), lib_dir / "README.md") - install = True - - files = [file.name for file in lib_dir.iterdir()] - if any([lib not in files for lib in libs]): - install = True - - if install: - lib_zip = rsc / "kyber.zip" - with tempfile.TemporaryDirectory() as tmpdir: - with zipfile.ZipFile(str(lib_zip)) as myzip: - myzip.extractall(tmpdir) - try: - subprocess.run( - ["make", "shared"], - cwd=Path(tmpdir) / "kyber/ref", - check=True, - capture_output=True, - timeout=15.0, - ) - except subprocess.CalledProcessError: - logger.critical("Failed to compile Kyber") - raise - for lib in libs: - src = Path(tmpdir) / "kyber/ref" / lib - shutil.move(src, lib_dir) - logger.info("Kyber implementation installed") - - global _LIB_DIR - _LIB_DIR = lib_dir - - return lib_dir - - -# --------------------------- Enums --------------------------------------------------- - - -class Wrapper(strenum.StrEnum): - """Available wrappers.""" - - PYTHON = "Python" - - -# --------------------------- Protocols ----------------------------------------------- - - -class Encapsulate(Protocol): - """Represents a function that encapsulates secrets with Kyber.""" - - def __call__(self, public_key: bytes) -> tuple[bytes, bytes]: - """Generates and encapsulates a shared secret. - - Args: - public_key: The public key to encapsulate the secret with. - - Returns: - A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). - """ - ... # pragma: no cover (protocol) - - -class Decapsulate(Protocol): - """Represents a function that decapsulates secrets with Kyber.""" - - def __call__(self, secret_key: bytes, ciphertext: bytes) -> bytes: - """Decapsulates a shared secret. - - Args: - secret_key: The secret key to use. - ciphertext: The encapsulated shared secret. - - Returns: - The decapsulated shared secret. - """ - ... # pragma: no cover (protocol) - - -# --------------------------- Dataclasses --------------------------------------------- - - -@attrs.define -class EncapData: - """Debug data for :func:`test_encapsulate`. - - Args: - info: Common debug info, see :class:`crypto_condor.primitives.common.DebugInfo`. - pk: The public key. - ct: The resulting ciphertext. - ss: The generated shared secret. - decap_ss: The shared secret decapsulated by the internal function. - """ - - info: DebugInfo - pk: bytes - ct: bytes | None = None - ss: bytes | None = None - decap_ss: bytes | None = None - - def __str__(self) -> str: - """Returns a string representation.""" - s = f"""{str(self.info)} -pk = {self.pk.hex()} -returned ct = {self.ct.hex() if self.ct else ''} -returned ss = {self.ss.hex() if self.ss else ''} -decapsulated ss = {self.decap_ss.hex() if self.decap_ss else ''} -""" - return s - - -@attrs.define -class DecapData: - """Debug data for :func:`test_decapsulate`. - - Args: - info: Common debug info, see :class:`crypto_condor.primitives.common.DebugInfo`. - sk: The secret key. - ct: The ciphertext. - ss: The expected shared secret. - res_ss: The decapsulated shared secret. - """ - - info: DebugInfo - sk: bytes - ct: bytes - ss: bytes - res_ss: bytes | None - - def __str__(self) -> str: - """Returns a string representation.""" - s = f"""{str(self.info)} -sk = {self.sk.hex()} -ct = {self.ct.hex()} -ss = {self.ss.hex()} -resulting_ss = {self.res_ss.hex() if self.res_ss else ''} -""" - return s - - -# --------------------------- Internal ------------------------------------------------ - - -def _encapsulate(paramset: Paramset, public_key: bytes) -> tuple[bytes, bytes]: - """Generates a random secret and encapsulates it. - - Uses the reference implementation of Kyber. - - Args: - paramset: The Kyber parameter set to use. - public_key: The public key to use for encapsulating the generated secret. - - Returns: - A tuple (ct, ss) containing the generated secret ss and the ciphertext ct. - """ - fname = f"pqcrystals_{str(paramset).lower().replace('-', '_')}_ref_enc" - ffi = cffi.FFI() - ffi.cdef( - f""" - int {fname}(uint8_t *ct, uint8_t *ss, const uint8_t *pk); - """ - ) - - lib_dir = _LIB_DIR or _get_lib_dir() - lib_path = lib_dir / f"libpqcrystals_{str(paramset).lower()}_ref.so" - lib = ffi.dlopen(str(lib_path.absolute())) - - pk = ffi.new("uint8_t[]", public_key) - ct = ffi.new(f"uint8_t[{paramset.ct_size}]") - ss = ffi.new("uint8_t[32]") - - func = getattr(lib, fname) - func(ct, ss, pk) - - return bytes(ct), bytes(ss) - - -def _decapsulate(paramset: Paramset, secret_key: bytes, ciphertext: bytes) -> bytes: - """Decapsulates a ciphertext containing a generated secret. - - Uses the reference implementation of Kyber. - - Args: - paramset: The Kyber parameter set to use. - secret_key: The secret key to use for decapsulating the ciphertext. - ciphertext: A ciphertext returned by :func:`_encapsulate`. - - Returns: - The generated secret. - """ - fname = f"pqcrystals_{str(paramset).lower().replace('-', '_')}_ref_dec" - ffi = cffi.FFI() - ffi.cdef( - f""" - int {fname}(uint8_t *ss, const uint8_t *ct, const uint8_t *sk); - """ - ) - - lib_dir = _LIB_DIR or _get_lib_dir() - lib_path = lib_dir / f"libpqcrystals_{str(paramset).lower()}_ref.so" - lib = ffi.dlopen(str(lib_path.absolute())) - - sk = ffi.new("uint8_t[]", secret_key) - ct = ffi.new("uint8_t[]", ciphertext) - ss = ffi.new("uint8_t[32]") - - func = getattr(lib, fname) - func(ss, ct, sk) - - return bytes(ss) - - -# --------------------------- Test functions ------------------------------------------ - - -def test_encapsulate(encapsulate: Encapsulate, paramset: Paramset) -> Results | None: - """Tests encapsulation using NIST test vectors. - - The generation of the shared secret is random, so we cannot simply compare the - ciphertext returned by ``encapsulate`` with the test vector's ciphertext. Instead, - we call ``encapsulate``, then decapsulate the ciphertext with the internal - decapsulation function, and compare the resulting shared secret with the one - returned by ``encapsulate``. If they match, we consider it a pass. - - .. attention:: - - crypto-condor uses the reference C implementation of Kyber: it comes bundled - with the package, but has to be compiled and installed locally. This is done - automatically when the internal implementation is needed, but if the compilation - fails this test cannot be run. You can report a problem by opening an issue. - - Args: - encapsulate: The function to test. - paramset: The parameter set to test the implementation on. - - Returns: - The results of testing the implementation, or None if the internal decapsulation - function can't run. - """ - results = Results( - "Kyber", - "test_encapsulate", - ( - "Encapsulates with the given function, decapsulates the ciphertext," - " and compares the shared secrets." - ), - {"paramset": paramset}, - ) - - vectors = KyberVectors.load(paramset) - for test in track(vectors.tests): - info = DebugInfo(test.count, TestType.VALID, ["Compliance"]) - try: - ct, ss = encapsulate(test.pk) - except Exception: - logger.debug("Error running user-defined encapsulate", exc_info=True) - results.add(EncapData(info, test.pk)) - continue - try: - res_ss = _decapsulate(paramset, test.sk, ct) - except subprocess.CalledProcessError: - logger.error("Can't run the internal decapsulation, stopping test") - return None - except Exception: - logger.debug("Kyber.decaps error", exc_info=True) - results.add(DecapData(info, test.sk, ct, ss, None)) - continue - - if ss == res_ss: - info.result = True - else: - info.error_msg = "Ciphertext does not match the shared secret" - results.add(EncapData(info, test.pk, ct, ss, res_ss)) - - return results - - -def test_decapsulate(decapsulate: Decapsulate, paramset: Paramset) -> Results: - """Tests decapsulation with NIST test vectors. - - Decapsulates a ciphertext with the given function and compares with the expected - shared secret. The test passes if the secrets match. - - Args: - decapsulate: The function to test. - paramset: The parameter set to test the implementation on. - - Return: - The results of testing the implementation. - """ - results = Results( - "Kyber", - "test_decapsulate", - ( - "Decapsulates ciphertexts and compares the resulting shared secrets with" - " the test vectors'." - ), - {"paramset": paramset}, - ) - - vectors = KyberVectors.load(paramset) - for test in vectors.tests: - info = DebugInfo(test.count, TestType.VALID, ["Compliance"]) - try: - res_ss = decapsulate(test.sk, test.ct) - except Exception as error: - logger.debug("Kyber.decap error: %s", str(error)) - results.add(DecapData(info, test.sk, test.ct, test.ss, None)) - if res_ss == test.ss: - info.result = True - else: - info.error_msg = "Decapsulate returns wrong shared secret" - results.add(DecapData(info, test.sk, test.ct, test.ss, res_ss)) - - return results - - -# --------------------------- Runners ------------------------------------------------- - - -def _run_python(parameter_set: Paramset, run_enc: bool, run_dec: bool) -> ResultsDict: - """Runs the Python Kyber wrapper. - - Args: - parameter_set: The parameter set to run with. - run_enc: Whether to use the encapsulation function. - run_dec: Whether to use the decapsulation function. - - Returns: - A dictionary of results, one result for encapsulation, one for decapsulation. - The keys are "encap" and "decap". - """ - wrapper = Path.cwd() / "kyber_wrapper.py" - if not wrapper.is_file(): - raise FileNotFoundError("Can't find kyber_wrapper.py in the current directory.") - - logger.info("Running Python Kyber wrapper") - - # Add CWD to the path, at the beginning in case this is called more than - # once, since the previous CWD would have priority. - sys.path.insert(0, str(Path.cwd())) - - # Before importing the wrapper we check if it's already in the loaded - # modules, in which case we want to reload it or we would be testing the - # wrapper loaded previously. - imported = "kyber_wrapper" in sys.modules.keys() - - # Import it normally. - try: - kyber_wrapper = importlib.import_module("kyber_wrapper") - except ModuleNotFoundError as error: - logger.debug(error) - raise FileNotFoundError("Can't load the wrapper!") from error - - # Then reload it if necessary. - if imported: - logger.debug("Reloading the Kyber Python wrapper") - kyber_wrapper = importlib.reload(kyber_wrapper) - - results_dict = ResultsDict() - if run_enc: - res = test_encapsulate(kyber_wrapper.encapsulate, parameter_set) - if res is not None: - results_dict["encap"] = res - if run_dec: - results_dict["decap"] = test_decapsulate( - kyber_wrapper.decapsulate, parameter_set - ) - - # To de-clutter the path, remove the CWD. - sys.path.remove(str(Path.cwd())) - - return results_dict - - -def run_wrapper( - language: Wrapper, - parameter_set: Paramset, - run_encapsulate: bool, - run_decapsulate: bool, -) -> ResultsDict: - """Runs the corresponding wrapper. - - Args: - language: The language of the wrapper to run. - parameter_set: The parameter set to use. - run_encapsulate: Whether to run the encapsulation function. - run_decapsulate: Whether to run the decapsulation function. - - Returns: - A dictionary of results, one result for encapsulation, one for decapsulation. - The keys are ``encap`` and ``decap``. - """ - match language: - case Wrapper.PYTHON: - return _run_python(parameter_set, run_encapsulate, run_decapsulate) - case _: # pragma: no cover (mypy) - return ResultsDict() - - -# --------------------------- Lib hook functions -------------------------------------- -def _test_lib_encap( - ffi: cffi.FFI, lib, function: str, paramset: Paramset -) -> Results | None: - """Tests a hooked encapsulate. - - Args: - ffi: The FFI instance. - lib: The dlopen'd library. - function: The name of the function to test. - paramset: The function's parameter set. - - Returns: - The results returned by :func:`test_encapsulate`. - """ - logger.info("Testing harness function %s", function) - - ffi.cdef( - f"""void {function}(uint8_t *ct, size_t ct_sz, - uint8_t *ss, size_t ss_sz, - const uint8_t *pk, size_t pk_sz);""" - ) - encap = getattr(lib, function) - - # Object sizes are known in advance so we can create the type. - ct = ffi.new(f"uint8_t[{paramset.ct_size}]") - ss = ffi.new("uint8_t[32]") - - def _encap(public_key: bytes): - pk = ffi.new(f"uint8_t[{paramset.pk_size}]", public_key) - encap(ct, paramset.ct_size, ss, 32, pk, paramset.pk_size) - return (bytes(ct), bytes(ss)) - - return test_encapsulate(_encap, paramset) - - -def _test_lib_decap(ffi: cffi.FFI, lib, function: str, paramset: Paramset) -> Results: - """Tests a hooked decapsulate. - - Args: - ffi: The FFI instance. - lib: The dlopen'd library. - function: The name of the function to test. - paramset: The function's parameter set. - - Returns: - The :class:`Results` returned by :func:`test_decapsulate`. - """ - logger.info("Testing harness function %s", function) - - ffi.cdef( - f"""void {function}(uint8_t *ss, size_t ss_sz, - const uint8_t *ct, size_t ct_sz, - const uint8_t *sk, size_t sk_sz);""" - ) - decap = getattr(lib, function) - - # Object sizes are known in advance so we can create the type. - ss = ffi.new("uint8_t[32]") - - def _decap(secret_key: bytes, ciphertext: bytes): - sk = ffi.new(f"uint8_t[{paramset.sk_size}]", secret_key) - ct = ffi.new(f"uint8_t[{paramset.ct_size}]", ciphertext) - decap(ss, 32, ct, paramset.ct_size, sk, paramset.sk_size) - return bytes(ss) - - return test_decapsulate(_decap, paramset) - - -def test_lib(ffi: cffi.FFI, lib, functions: list[str]) -> ResultsDict: - """Tests functions from a shared library. - - Args: - ffi: The FFI instance. - lib: The dlopen'd library. - functions: A list of CC_Kyber functions to test. - """ - logger.info("Found harness functions %s", ", ".join(functions)) - - results = ResultsDict() - - for function in functions: - match function.split("_"): - case ["CC", "Kyber", *parts, ("encapsulate" | "decapsulate") as op]: - # Deals with e.g. 512 and 512-90s - pset = "-".join(parts) - try: - paramset = Paramset(f"Kyber{pset}") - except ValueError: - logger.error("Unknown param set %s", pset) - logger.warning("Skipped function %s", function) - continue - if op == "encapsulate": - enc_res = _test_lib_encap(ffi, lib, function, paramset) - if enc_res is not None: - results[f"Kyber/test_encapsulate/{str(paramset)}"] = enc_res - else: - dec_res = _test_lib_decap(ffi, lib, function, paramset) - results[f"Kyber/test_decapsulate/{str(paramset)}"] = dec_res - case _: - logger.warning("Ignoring unknown CC_Kyber function %s", function) - - return results - - -# ------------------------------------------------------------------------------------- -if __name__ == "__main__": - # Install Kyber when called as a script. - _get_lib_dir() diff --git a/crypto_condor/primitives/MLDSA.py b/crypto_condor/primitives/MLDSA.py new file mode 100644 index 0000000..3d51877 --- /dev/null +++ b/crypto_condor/primitives/MLDSA.py @@ -0,0 +1,770 @@ +"""Module for testing ML-DSA implementations.""" + +import importlib +import json +import logging +import shutil +import subprocess +import sys +import tempfile +import zipfile +from importlib import resources +from pathlib import Path +from typing import Protocol + +import attrs +import cffi +import strenum +from rich.progress import track + +from crypto_condor.primitives.common import ( + Results, + ResultsDict, + TestInfo, + TestType, + get_appdata_dir, +) +from crypto_condor.vectors._mldsa.mldsa_pb2 import MldsaTest, MldsaVectors + +# --------------------------- Module -------------------------------------------------- + +logger = logging.getLogger(__name__) + + +def __dir__(): # pragma: no cover + return [ + # Enums + Paramset.__name__, + # Protocols + Sign.__name__, + Verify.__name__, + # Test functions + test_sign.__name__, + test_verify.__name__, + # Runners + run_python_wrapper.__name__, + ] + + +# --------------------------- Enums --------------------------------------------------- + + +class Paramset(strenum.StrEnum): + """The parameter sets for ML-DSA.""" + + def __new__(cls, value): + """Override __new__ to add custom properties.""" + member = str.__new__(cls, value) + member._value_ = value + # Parameter set values from FIPS 204. + match value: + case "ML-DSA-44": + member._pk_size_ = 1312 + member._sk_size_ = 2560 + member._sig_size_ = 2420 + member._dilithium_ = 2 + case "ML-DSA-65": + member._pk_size_ = 1952 + member._sk_size_ = 4032 + member._sig_size_ = 3309 + member._dilithium_ = 3 + case "ML-DSA-87": + member._pk_size_ = 2592 + member._sk_size_ = 4896 + member._sig_size_ = 4627 + member._dilithium_ = 5 + return member + + @property + def sk_size(self): + """The secret key size of the parameter set in bytes.""" + return self._sk_size_ + + @property + def pk_size(self): + """The public key size of the parameter set in bytes.""" + return self._pk_size_ + + @property + def sig_size(self): + """The signature size of the parameter set in bytes.""" + return self._sig_size_ + + @property + def dilithium(self): + """The equivalent Dilithium parameter set.""" + return self._dilithium_ + + ML_DSA_44 = "ML-DSA-44" + ML_DSA_65 = "ML-DSA-65" + ML_DSA_87 = "ML-DSA-87" + + +class Wrapper(strenum.StrEnum): + """Supported wrapper languages.""" + + PYTHON = "Python" + + +# --------------------------- Reference implementation -------------------------------- +SHARED_LIB_DIR: Path | None = None + + +def _get_shared_lib_dir() -> Path: + """Returns the path to the directory containing the shared libraries. + + crypto-condor bundles the reference implementation of ML-DSA + (https://github.com/pq-crystals/dilithium), which has to be copied, + compiled, and installed in the user's machine. + + This function checks if the resulting shared libraries are already present in the + user's app data directory. If not, the directory is created, and the implementation + installed from the bundled zip file. + """ + lib_dir = get_appdata_dir() / "MLDSA" + libs = { + "libpqcrystals_dilithium2_ref.so": "ML-DSA-44-ref.so", + "libpqcrystals_dilithium3_ref.so": "ML-DSA-65-ref.so", + "libpqcrystals_dilithium5_ref.so": "ML-DSA-87-ref.so", + } + rsc = resources.files("crypto_condor") / "primitives/_mldsa" + install = False + + if not lib_dir.is_dir(): + _msg = ( + "ML-DSA directory not found:" + " crypto-condor uses the reference implementation of ML-DSA," + " which has to be compiled and installed locally" + ) + logger.warning(_msg) + logger.warning("Installation will be done at %s", str(lib_dir)) + lib_dir.mkdir(0o755, parents=True, exist_ok=True) + shutil.copyfile(str(rsc / "README.md"), lib_dir / "README.md") + install = True + + files = [file.name for file in lib_dir.iterdir()] + if any([lib not in files for lib in libs.values()]): + install = True + + if install: + lib_zip = rsc / "mldsa.zip" + with tempfile.TemporaryDirectory() as tmpdir: + try: + with zipfile.ZipFile(str(lib_zip)) as myzip: + myzip.extractall(tmpdir) + except Exception: + logger.critical("Failed to unzip mldsa.zip", exc_info=True) + raise + try: + subprocess.run( + ["make", "shared"], + cwd=Path(tmpdir) / "dilithium/ref", + check=True, + capture_output=True, + timeout=15.0, + ) + except subprocess.CalledProcessError: + logger.critical("Failed to compile ML-DSA implementation") + raise + for lib, dst in libs.items(): + src = Path(tmpdir) / "dilithium/ref" / lib + shutil.move(src, lib_dir / dst) + logger.info("ML-DSA implementation installed") + + global SHARED_LIB_DIR + SHARED_LIB_DIR = lib_dir + + return lib_dir + + +def _keygen(paramset: Paramset) -> tuple[bytes, bytes]: + """Generates a ML-DSA key pair. + + Args: + paramset: The parameter set to use. + + Returns: + A tuple (pk, sk) containing the public and secret key. + + .. attention:: Internal use only + + This implementation is for testing with crypto-condor, and is not exposed for + production use. + """ + fname = f"pqcrystals_dilithium{paramset.dilithium}_ref_keypair" + ffi = cffi.FFI() + ffi.cdef(f"int {fname}(uint8_t *pk, uint8_t *sk);") + lib_dir = SHARED_LIB_DIR or _get_shared_lib_dir() + lib_path = lib_dir / f"{str(paramset)}-ref.so" + lib = ffi.dlopen(str(lib_path.absolute())) + + c_pk = ffi.new(f"uint8_t[{paramset.pk_size}]") + c_sk = ffi.new(f"uint8_t[{paramset.sk_size}]") + func = getattr(lib, fname) + func(c_pk, c_sk) + return bytes(c_pk), bytes(c_sk) + + +def _sign(paramset: Paramset, sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs using the internal implementation. + + Args: + paramset: The parameter set to use. + sk: The secret key. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signature. + + .. attention:: Internal use only + + This implementation is for testing with crypto-condor, and is not exposed for + production use. + """ + fname = f"pqcrystals_dilithium{paramset.dilithium}_ref_signature" + ffi = cffi.FFI() + ffi.cdef( + f""" + int {fname}(uint8_t *sig, uint8_t *siglen, + const uint8_t *m, size_t mlen, + const uint8_t *ctx, size_t ctxlen, + const uint8_t *sk); + """ + ) + + lib_dir = SHARED_LIB_DIR or _get_shared_lib_dir() + lib_path = lib_dir / f"{str(paramset)}-ref.so" + lib = ffi.dlopen(str(lib_path.absolute())) + + c_sk = ffi.new("uint8_t[]", sk) + c_msg = ffi.new("uint8_t[]", msg) + c_ctx = ffi.new("uint8_t[]", ctx) + + c_sig = ffi.new(f"uint8_t[{paramset.sig_size}]") + c_siglen = ffi.new("uint8_t *") + + func = getattr(lib, fname) + func(c_sig, c_siglen, c_msg, len(msg), c_ctx, len(ctx), c_sk) + + return bytes(c_sig) + + +def _verify(paramset: Paramset, pk: bytes, msg: bytes, sig: bytes, ctx: bytes) -> bool: + """Verifies a signature with the internal implementation. + + Args: + paramset: The parameter set to use. + pk: The public key. + msg: The message that was signed. + sig: The signature to verify. + ctx: The context string. + """ + fname = f"pqcrystals_dilithium{paramset.dilithium}_ref_verify" + ffi = cffi.FFI() + ffi.cdef( + f""" + int {fname}(const uint8_t *sig, size_t siglen, + const uint8_t *m, size_t mlen, + const uint8_t *ctx, size_t ctxlen, + const uint8_t *pk); + """ + ) + + lib_dir = SHARED_LIB_DIR or _get_shared_lib_dir() + lib_path = lib_dir / f"{str(paramset)}-ref.so" + lib = ffi.dlopen(str(lib_path.absolute())) + + c_pk = ffi.new("uint8_t[]", pk) + c_m = ffi.new("uint8_t[]", msg) + c_sig = ffi.new("uint8_t[]", sig) + c_ctx = ffi.new("uint8_t[]", ctx) + + func = getattr(lib, fname) + ret = func(c_sig, len(sig), c_m, len(msg), c_ctx, len(ctx), c_pk) + + return ret == 0 + + +# --------------------------- Vectors ------------------------------------------------- + + +def _load_vectors(paramset: Paramset) -> list[MldsaVectors]: + """Loads vectors for a given parameter set. + + Args: + paramset: The parameter set to load vectors of. + + Returns: + A dictionary of vectors, indexed by the name of their source. + """ + vectors_dir = importlib.resources.files("crypto_condor") / "vectors/_mldsa" + vectors = list() + + sources_file = vectors_dir / "mldsa.json" + with sources_file.open("r") as file: + sources = json.load(file) + + for filename in sources.get(str(paramset)): + vectors_file = vectors_dir / "pb2" / filename + _vec = MldsaVectors() + logger.debug("Loading ML-DSA vectors from %s", str(filename)) + try: + _vec.ParseFromString(vectors_file.read_bytes()) + except Exception: + logger.error("Failed to load ML-DSA vectors from %s", str(filename)) + logger.debug("Exception caught while loading vectors", exc_info=True) + vectors.append(_vec) + + return vectors + + +# --------------------------- Protocols ----------------------------------------------- + + +class Sign(Protocol): + """Represents an ML-DSA signing function.""" + + def __call__(self, sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs a message. + + Args: + sk: The secret key to use. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signature. + """ + ... # pragma: no cover (protocol) + + +class Verify(Protocol): + """Represents an ML-DSA signature verification function.""" + + def __call__(self, pk: bytes, msg: bytes, sig: bytes, ctx: bytes) -> bool: + """Verifies an ML-DSA signature. + + Args: + pk: The public key to use. + msg: The message that was signed. + sig: The signature to verify. + ctx: The context string. + + Returns: + True if the signature is valid, False otherwise. + """ + ... # pragma: no cover (protocol) + + +# --------------------------- Dataclasses---------------------------------------------- + + +@attrs.define +class SignData: + """Debug data for :func:`test_sign`. + + Args: + sk: The secret key. + msg: The message. + sm: The signed message. + ctx: The context string. + ret_sm: The signed message returned by the implementation. + """ + + sk: bytes + msg: bytes + ctx: bytes + sig: bytes + ret_sig: bytes | None = None + + def __str__(self) -> str: + """Returns a string representation.""" + return f"""sk = {self.sk.hex()} +msg = {self.msg.hex() if self.msg else ''} +ctx = {self.ctx.hex() if self.ctx else ''} +sig = {self.ctx.hex()} +ret_sig = {self.ret_sig.hex() if self.ret_sig is not None else ''} +""" + + +@attrs.define +class VerifyData: + """Debug data for :func:`test_verify`. + + Args: + pk: The public key. + sm: The signed message. + ctx: The context string. + """ + + pk: bytes + msg: bytes + sig: bytes + ctx: bytes + + def __str__(self) -> str: + """Returns a string representation.""" + return f"""pk = {self.pk.hex()} +msg = {self.msg.hex() if self.msg else ''} +sig = {self.sig.hex()} +ctx = {self.ctx.hex() if self.ctx is not None else ''} +""" + + +# --------------------------- Test functions ------------------------------------------ + + +def test_sign(sign: Sign, paramset: Paramset) -> ResultsDict: + """Tests a function that signs with ML-DSA. + + Signs messages with the given function. As by default ML-DSA uses a "hedged", + pseudorandom procedure, the signature cannot be directly compared with the one + included in the test vector. Instead, crypto-condor checks that the signature has + the correct length and then verifies it is valid for the test vector public key and + message using the reference implementation. + + Args: + sign: The function to test. + paramset: The parameter set to test. + + Returns: + A dictionary of results. It is empty if the internal decapsulation failed to + run, or the implementation raised NotImplementedError. + """ + param_vectors = _load_vectors(paramset) + rd = ResultsDict() + + test: MldsaTest + for vectors in param_vectors: + results = Results.new("Test ML-DSA signing", ["paramset"]) + results.add_notes(vectors.notes) + + for test in track( + vectors.tests, rf"\[{paramset}]\[{vectors.source}] Testing signing" + ): + info = TestInfo.new_from_test(test, vectors.compliance) + data = SignData(test.sk, test.msg, test.sig, test.ctx) + + try: + ret_sig = sign(test.sk, test.msg, test.ctx) + except NotImplementedError: + logger.warning("%s Sign not implemented, skipped", str(paramset)) + return rd + except Exception as error: + logger.debug("Caught exception", exc_info=True) + info.fail(f"Exception raised: {str(error)}", data) + results.add(info) + continue + + data.ret_sig = ret_sig + + # Check that sm is the correct length. + if len(ret_sig) != paramset.sig_size: + info.fail( + f"Wrong signature size returned (got {len(ret_sig)}," + f" expected {paramset.sig_size})", + data, + ) + results.add(info) + continue + + # Verify the signature. + try: + is_valid_sig = _verify(paramset, test.pk, test.msg, ret_sig, test.ctx) + except Exception as error: + logger.debug( + "Caught exception while verifying signature", exc_info=True + ) + info.fail( + f"Exception raised, failed to verify signature: {str(error)}", data + ) + results.add(info) + continue + + match (is_valid_sig, test.type): + case (True, TestType.VALID): + info.ok(data) + case (False, TestType.VALID): + info.fail("Signatures do not match", data) + case _: + # We currently don't have other type of tests for sign. + pass + results.add(info) + + rd.add(results, ["paramset"]) + + return rd + + +def test_verify(verify: Verify, paramset: Paramset) -> ResultsDict: + """Tests a function that verified ML-DSA signatures. + + Verifies signatures with the given function. The test passes if valid signatures are + accepted. + + Args: + verify: The function to test. + paramset: The parameter set to test. + + Returns: + A dictionary of results. It is empty if the internal decapsulation failed to + run, or the implementation raised NotImplementedError. + """ + param_vectors = _load_vectors(paramset) + rd = ResultsDict() + + test: MldsaTest + for vectors in param_vectors: + results = Results.new("Test ML-DSA signature verification", ["paramset"]) + results.add_notes(vectors.notes) + + for test in track( + vectors.tests, + rf"\[{paramset}]\[{vectors.source}] Testing signature verification", + ): + info = TestInfo.new_from_test(test, vectors.compliance) + data = VerifyData(test.pk, test.msg, test.sig, test.ctx) + + try: + ret_valid = verify(test.pk, test.msg, test.sig, test.ctx) + except NotImplementedError: + logger.warning("%s Verify not implemented, skipped", str(paramset)) + return rd + except Exception as error: + logger.debug("Caught exception", exc_info=True) + info.fail(f"Exception raised: {str(error)}", data) + results.add(info) + continue + + match (ret_valid, test.type): + case (True, TestType.VALID): + info.ok(data) + case (False, TestType.VALID): + info.fail("Valid signature rejected", data) + case _: + # we currently don't have other type of tests for encaps + pass + results.add(info) + + rd.add(results, ["paramset"]) + + return rd + + +def test_output_sign(output: Path, paramset: Paramset) -> ResultsDict: + r"""Tests a file of ML-DSA signatures. + + Args: + output: A path to the output file. + paramset: The parameter set of the output. + + Returns: + A dictionary of results. + + Format: + - One line per hashing operation, separated by newlines ``\n``. + - Lines starting with ``#`` are considered comments and ignored. + - Values are written in hexadecimal. + - Values are separated by forward slashes ``/``. + - The order of the values is: + + .. code:: + + pk/msg/sig/ctx + + - Where: + - ``pk`` is the public key. + - ``msg`` is the message. + - ``sig`` is the signature. + - ``ctx`` is the context string. + """ + if not output.is_file(): + raise FileNotFoundError("No output file '%s' found" % str(output)) + with output.open("r") as file: + lines = file.readlines() + + results = Results.new("Tests ML-DSA signatures", ["output", "paramset"]) + for index, line in enumerate(lines, 1): + if line.startswith("#"): + continue + line = line.strip() + match line.split("/"): + case [_pk, _msg, _sig, _ctx]: + pk, msg, sig, ctx = map(bytes.fromhex, (_pk, _msg, _sig, _ctx)) + case _: + logger.error("Failed to parse line %d (expected 4 values)" % index) + continue + + info = TestInfo.new(index, TestType.VALID, ["UserInput"]) + data = VerifyData(pk, msg, sig, ctx) + try: + is_valid_sm = _verify(paramset, pk, msg, sig, ctx) + except Exception: + logger.debug("Failed to verify signature", exc_info=True) + info.fail("Error verifying the signature", data) + results.add(info) + continue + + if is_valid_sm: + info.ok(data) + else: + info.fail("Signature is invalid", data) + results.add(info) + + rd = ResultsDict() + rd.add(results, ["output", "paramset"]) + return rd + + +# --------------------------- Runners ------------------------------------------------- + + +def run_python_wrapper( + wrapper: Path, compliance: bool, resilience: bool +) -> ResultsDict: + """Runs a ML-DSA Python wrapper. + + Args: + wrapper: A path to the wrapper to run. Must be a Python program. + compliance: Whether to use compliance test vectors. + resilience: Whether to use resilience test vectors. + + Returns: + A dictionary of results. + """ + logger.info("Running Python ML-DSA wrapper: %s", str(wrapper.name)) + sys.path.insert(0, str(wrapper.parent.absolute())) + already_imported = wrapper.stem in sys.modules.keys() + try: + mldsa_wrapper = importlib.import_module(wrapper.stem) + except ModuleNotFoundError as error: + logger.error("Can't import wrapper: %s", str(error)) + raise + if already_imported: + logger.debug("Reloading ML-DSA wrapper: %s", wrapper.stem) + mldsa_wrapper = importlib.reload(mldsa_wrapper) + + rd = ResultsDict() + for symbol in dir(mldsa_wrapper): + match symbol.split("_"): + case ["CC", "MLDSA", _pset, ("sign" | "verify") as op]: + logger.info("Found CC_MLKEM function %s", symbol) + try: + paramset = Paramset(f"ML-DSA-{_pset}") + except ValueError: + logger.error("Unknown parameter set ML-DSA-%s for ML-DSA", _pset) + continue + if op == "sign": + rd |= test_sign(getattr(mldsa_wrapper, symbol), paramset) + else: + rd |= test_verify(getattr(mldsa_wrapper, symbol), paramset) + case ["CC", "MLDSA", *_]: + logger.warning("Ignored unknown CC_MLDSA function %s", symbol) + case _: + pass + + return rd + + +# --------------------------- Harness ------------------------------------------------- + + +def _test_harness_sign( + ffi: cffi.FFI, lib, function: str, paramset: Paramset +) -> ResultsDict: + logger.info("Testing harness function %s", function) + + ffi.cdef( + f"""void {function}(uint8_t *sig, size_t siglen, + const uint8_t *msg, size_t msglen, + const uint8_t *ctx, size_t ctxlen, + const uint8_t *sk, size_t sklen);""" + ) + sign = getattr(lib, function) + + # Object sizes are fixed in ML-DSA. + c_sig = ffi.new(f"uint8_t[{paramset.sig_size}]") + + def _sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + c_sk = ffi.new("uint8_t[]", sk) + c_msg = ffi.new("uint8_t[]", msg) + c_ctx = ffi.new("uint8_t[]", ctx) + sign( + c_sig, + paramset.sig_size, + c_msg, + len(msg), + c_ctx, + len(ctx), + c_sk, + paramset.sk_size, + ) + return bytes(c_sig) + + return test_sign(_sign, paramset) + + +def _test_harness_verify( + ffi: cffi.FFI, lib, function: str, paramset: Paramset +) -> ResultsDict: + logger.info("Testing harness function %s", function) + + ffi.cdef( + f"""int {function}(const uint8_t *sig, size_t siglen, + const uint8_t *msg, size_t msglen, + const uint8_t *ctx, size_t ctxlen, + const uint8_t *pk, size_t pklen);""" + ) + verify = getattr(lib, function) + + def _verify(pk: bytes, msg: bytes, sig: bytes, ctx: bytes) -> bool: + c_pk = ffi.new("uint8_t[]", pk) + c_msg = ffi.new("uint8_t[]", msg) + c_sig = ffi.new("uint8_t[]", sig) + c_ctx = ffi.new("uint8_t[]", ctx) + + r = verify(c_sig, len(sig), c_msg, len(msg), c_ctx, len(ctx), c_pk, len(pk)) + if r == 0: + return True + elif r == -1: + return False + else: + raise ValueError(f"Error: verify returned {r} (expected 0 or -1)") + + return test_verify(_verify, paramset) + + +def test_lib(ffi: cffi.FFI, lib, functions: list[str]) -> ResultsDict: + """Tests functions from a shared library. + + Args: + ffi: The FFI instance. + lib: The dlopen'd library. + functions: A list of CC_MLDSA functions to test. + """ + logger.info("Found harness functions %s", ", ".join(functions)) + + rd = ResultsDict() + + for function in functions: + match function.split("_"): + case ["CC", "MLDSA", pset, ("sign" | "verify") as op]: + try: + paramset = Paramset(f"ML-DSA-{pset}") + except ValueError: + logger.error( + "Unknown param set %s, skipped function %s", pset, function + ) + continue + if op == "sign": + rd |= _test_harness_sign(ffi, lib, function, paramset) + else: + rd |= _test_harness_verify(ffi, lib, function, paramset) + case _: + logger.warning("Ignored unknown CC_MLDSA function %s", function) + return rd + + +if __name__ == "__main__": + _ = _get_shared_lib_dir() diff --git a/crypto_condor/primitives/MLKEM.py b/crypto_condor/primitives/MLKEM.py new file mode 100644 index 0000000..1964ef4 --- /dev/null +++ b/crypto_condor/primitives/MLKEM.py @@ -0,0 +1,767 @@ +"""Module for testing ML-KEM implementations.""" + +import importlib +import json +import logging +import shutil +import subprocess +import sys +import tempfile +import zipfile +from importlib import resources +from pathlib import Path +from typing import Protocol + +import attrs +import cffi +import strenum +from rich.progress import track + +from crypto_condor.primitives.common import ( + Results, + ResultsDict, + TestInfo, + TestType, + get_appdata_dir, +) +from crypto_condor.vectors._mlkem.mlkem_pb2 import MlkemTest, MlkemVectors + +# --------------------------- Module -------------------------------------------------- + +logger = logging.getLogger(__name__) + + +def __dir__(): # pragma: no cover + return [ + # Enums + Paramset.__name__, + # Protocols + Encaps.__name__, + Decaps.__name__, + # Test functions + test_encaps.__name__, + test_decaps.__name__, + # Runners + run_python_wrapper.__name__, + ] + + +# --------------------------- Enums --------------------------------------------------- + + +class Paramset(strenum.StrEnum): + """The parameter sets for ML-KEM.""" + + def __new__(cls, value): + """Override __new__ to add custom properties.""" + member = str.__new__(cls, value) + member._value_ = value + match value: + case "ML-KEM-512": + member._sk_size_ = 1632 + member._pk_size_ = 800 + member._ct_size_ = 768 + case "ML-KEM-768": + member._sk_size_ = 2400 + member._pk_size_ = 1184 + member._ct_size_ = 1088 + case "ML-KEM-1024": + member._sk_size_ = 3168 + member._pk_size_ = 1568 + member._ct_size_ = 1568 + return member + + @property + def sk_size(self): + """The secret key size of the parameter set in bytes.""" + return self._sk_size_ + + @property + def pk_size(self): + """The public key size of the parameter set in bytes.""" + return self._pk_size_ + + @property + def ct_size(self): + """The ciphertext size of the parameter set in bytes.""" + return self._ct_size_ + + MLKEM512 = "ML-KEM-512" + MLKEM768 = "ML-KEM-768" + MLKEM1024 = "ML-KEM-1024" + + +class Wrapper(strenum.StrEnum): + """Supported wrapper languages.""" + + PYTHON = "Python" + + +# --------------------------- Reference implementation -------------------------------- +SHARED_LIB_DIR: Path | None = None + + +def _get_shared_lib_dir() -> Path: + """Returns the path to the directory containing the shared libraries. + + crypto-condor bundles the reference implementation of ML-KEM + (https://github.com/pq-crystals/kyber), which has to be copied, compiled, and + installed in the user's machine. + + This function checks if the resulting shared libraries are already present in the + user's app data directory. If not, the directory is created, and the implementation + installed from the bundled zip file. + """ + lib_dir = get_appdata_dir() / "MLKEM" + libs = { + "libpqcrystals_kyber512_ref.so": "ML-KEM-512-ref.so", + "libpqcrystals_kyber768_ref.so": "ML-KEM-768-ref.so", + "libpqcrystals_kyber1024_ref.so": "ML-KEM-1024-ref.so", + } + rsc = resources.files("crypto_condor") / "primitives/_mlkem" + install = False + + if not lib_dir.is_dir(): + _msg = ( + "ML-KEM directory not found:" + " crypto-condor uses the reference implementation of ML-KEM," + " which has to be compiled and installed locally" + ) + logger.warning(_msg) + logger.warning("Installation will be done at %s", str(lib_dir)) + lib_dir.mkdir(0o755, parents=True, exist_ok=True) + shutil.copyfile(str(rsc / "README.md"), lib_dir / "README.md") + install = True + + files = [file.name for file in lib_dir.iterdir()] + if any([lib not in files for lib in libs.values()]): + install = True + + if install: + lib_zip = rsc / "mlkem.zip" + with tempfile.TemporaryDirectory() as tmpdir: + try: + with zipfile.ZipFile(str(lib_zip)) as myzip: + myzip.extractall(tmpdir) + except Exception: + logger.critical("Failed to unzip mlkem.zip", exc_info=True) + raise + try: + subprocess.run( + ["make", "shared"], + cwd=Path(tmpdir) / "kyber/ref", + check=True, + capture_output=True, + timeout=15.0, + ) + except subprocess.CalledProcessError: + logger.critical("Failed to compile ML-KEM implementation") + raise + for lib, dst in libs.items(): + src = Path(tmpdir) / "kyber/ref/lib" / lib + shutil.move(src, lib_dir / dst) + logger.info("ML-KEM implementation installed") + + global SHARED_LIB_DIR + SHARED_LIB_DIR = lib_dir + + return lib_dir + + +def _keygen(paramset: Paramset) -> tuple[bytes, bytes]: + """Generates a ML-KEM key pair. + + Args: + paramset: The parameter set to use. + + Returns: + A tuple (pk, sk) containing the public and secret key. + + .. attention:: Internal use only + + This implementation is for testing with crypto-condor, and is not exposed for + production use. + """ + fname = f"pqcrystals_{str(paramset).replace('ML-KEM-', 'kyber')}_ref_keypair" + ffi = cffi.FFI() + ffi.cdef(f"int {fname}(uint8_t *pk, uint8_t *sk);") + lib_dir = SHARED_LIB_DIR or _get_shared_lib_dir() + lib_path = lib_dir / f"{str(paramset)}-ref.so" + lib = ffi.dlopen(str(lib_path.absolute())) + + c_pk = ffi.new(f"uint8_t[{paramset.pk_size}]") + c_sk = ffi.new(f"uint8_t[{paramset.sk_size}]") + func = getattr(lib, fname) + func(c_pk, c_sk) + return bytes(c_pk), bytes(c_sk) + + +def _encaps(paramset: Paramset, pk: bytes) -> tuple[bytes, bytes]: + """Encapsulated using the internal implementation. + + Args: + paramset: The parameter set to use. + pk: The public key to encapsulate to. + + Returns: + A tuple (ct, ss) containing the ciphertext and the shared secret. + + .. attention:: Internal use only + + This implementation is for testing with crypto-condor, and is not exposed for + production use. + """ + fname = f"pqcrystals_{str(paramset).replace('ML-KEM-', 'kyber')}_ref_enc" + ffi = cffi.FFI() + ffi.cdef( + f""" + int {fname}(uint8_t *ct, uint8_t *ss, const uint8_t *pk); + """ + ) + + lib_dir = SHARED_LIB_DIR or _get_shared_lib_dir() + lib_path = lib_dir / f"{str(paramset)}-ref.so" + lib = ffi.dlopen(str(lib_path.absolute())) + + c_pk = ffi.new("uint8_t[]", pk) + c_ct = ffi.new(f"uint8_t[{paramset.ct_size}]") + c_ss = ffi.new("uint8_t[32]") + + func = getattr(lib, fname) + func(c_ct, c_ss, c_pk) + + return bytes(c_ct), bytes(c_ss) + + +def _decaps(paramset: Paramset, sk: bytes, ct: bytes) -> bytes: + """Decapsulates using the internal implementation. + + Args: + paramset: The parameter set to use. + sk: The secret key to decapsulate with. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + + .. attention:: Internal use only + + This implementation is for testing with crypto-condor, and is not exposed for + production use. + """ + fname = f"pqcrystals_{str(paramset).replace('ML-KEM-', 'kyber')}_ref_dec" + ffi = cffi.FFI() + ffi.cdef( + f""" + int {fname}(uint8_t *ss, const uint8_t *ct, const uint8_t *sk); + """ + ) + + lib_dir = SHARED_LIB_DIR or _get_shared_lib_dir() + lib_path = lib_dir / f"{str(paramset)}-ref.so" + lib = ffi.dlopen(str(lib_path.absolute())) + + c_sk = ffi.new("uint8_t[]", sk) + c_ct = ffi.new("uint8_t[]", ct) + c_ss = ffi.new("uint8_t[32]") + + func = getattr(lib, fname) + func(c_ss, c_ct, c_sk) + + return bytes(c_ss) + + +# --------------------------- Vectors ------------------------------------------------- + + +def _load_vectors(paramset: Paramset) -> list[MlkemVectors]: + """Loads vectors for a given parameter set. + + Args: + paramset: The parameter set to load vectors of. + + Returns: + A list of vectors. + """ + vectors_dir = importlib.resources.files("crypto_condor") / "vectors/_mlkem" + vectors = list() + + sources_file = vectors_dir / "mlkem.json" + with sources_file.open("r") as file: + sources = json.load(file) + + for filename in sources.get(str(paramset)): + vectors_file = vectors_dir / "pb2" / filename + _vec = MlkemVectors() + logger.debug("Loading ML-KEM vectors from %s", str(filename)) + try: + _vec.ParseFromString(vectors_file.read_bytes()) + except Exception: + logger.error("Failed to load ML-KEM vectors from %s", str(filename)) + logger.debug("Exception caught while loading vectors", exc_info=True) + vectors.append(_vec) + + return vectors + + +# --------------------------- Protocols ----------------------------------------------- + + +class Encaps(Protocol): + """Represents an ML-KEM encapsulation function.""" + + def __call__(self, pk: bytes) -> tuple[bytes, bytes]: + """Generates and encapsulates a shared secret. + + Args: + pk: The public key to encapsulate the secret with. + + Returns: + A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). + """ + ... # pragma: no cover (protocol) + + +class Decaps(Protocol): + """Represents an ML-KEM decapsulation function.""" + + def __call__(self, sk: bytes, ct: bytes) -> bytes: + """Decapsulates a shared secret. + + Args: + sk: The secret key to use. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + """ + ... # pragma: no cover (protocol) + + +# --------------------------- Dataclasses---------------------------------------------- + + +@attrs.define +class EncapsData: + """Debug data for :func:`test_encaps`. + + Args: + pk: The public key. + sk: The secret key. + ret_ct: The ciphertext returned by the implementation. + ret_ss: The shared secret returned by the implementation. + """ + + pk: bytes + sk: bytes + ret_ct: bytes | None = None + ret_ss: bytes | None = None + + def __str__(self) -> str: + """Returns a string representation of the data.""" + return f"""pk = {self.pk.hex()} +sk = {self.sk.hex()} +returned ct = {self.ret_ct.hex() if self.ret_ct is not None else ''} +returned ss = {self.ret_ss.hex() if self.ret_ss is not None else ''} +""" + + +@attrs.define +class DecapsData: + """Debug data for :func:`test_decaps`. + + Args: + sk: The secret key. + ct: The ciphertext. + ss: The shared secret. + ret_ss: The decapsulated shared secret returned by the implementation. + """ + + sk: bytes + ct: bytes + ss: bytes + ret_ss: bytes | None = None + + def __str__(self) -> str: + """Returns a string representation of the data.""" + return f"""sk = {self.sk.hex()} +ct = {self.ct.hex()} +ss = {self.ss.hex()} +returned ss = {self.ret_ss.hex() if self.ret_ss is not None else ''} +""" + + +# --------------------------- Test functions ------------------------------------------ + + +def test_encaps(encaps: Encaps, paramset: Paramset) -> ResultsDict: + """Tests encapsulation. + + ML-KEM encapsulation is not deterministic: it generates a random shared + secret and encapsulates it using the peer's public key, so crypto-condor + cannot simply compare the ciphertext returned by the implementation with the + test vector's ciphertext. Instead, it calls the ``encaps`` method to generate + a shared secret and ciphertext, decapsulates the ciphertext with its + internal decapsulation function, and compares the resulting shared secret + with the one returned by the implementation. The test passes if the secrets + match. + + .. attention:: + + crypto-condor uses the reference C implementation of ML-KEM, which is + bundled with the package but has to be compiled and installed locally. + This is done automatically when the internal implementation is needed, + but if the compilation fails this test cannot be run. Please report + problems by opening an issue. + + Args: + encaps: The encapsulation implementation. + paramset: The parameter set to test. + + Returns: + A dictionary of results. It is empty if the internal decapsulation failed to + run, or the implementation raised NotImplementedError. + """ + param_vectors = _load_vectors(paramset) + rd = ResultsDict() + + test: MlkemTest + for vectors in param_vectors: + results = Results.new("Test ML-KEM encapsulation", ["paramset"]) + results.add_notes(vectors.notes) + + for test in track( + vectors.tests, rf"\[{paramset}]\[{vectors.source}] Testing encapsulation" + ): + info = TestInfo.new_from_test(test, vectors.compliance) + data = EncapsData(test.pk, test.sk) + + try: + ret_ct, ret_ss = encaps(test.pk) + except subprocess.CalledProcessError: + logger.error( + "Can't run the internal ML-KEM decapsulation, stopping test" + ) + return rd + except NotImplementedError: + logger.warning("%s Encaps not implemented, skipped", str(paramset)) + return rd + except ValueError as error: + # Potential special case when unpacking the returned value. + logger.debug( + "Caught ValueError, is the implementation returning (ct, ss)?", + exc_info=True, + ) + info.fail(f"Exception raised: {str(error)}", data) + results.add(info) + continue + except Exception as error: + logger.debug("Caught an exception", exc_info=True) + info.fail(f"Exception raised: {str(error)}", data) + results.add(info) + continue + + data.ret_ct = ret_ct + data.ret_ss = ret_ss + + # TODO: can this fail? Should we add a try/except? + ss = _decaps(paramset, test.sk, ret_ct) + + match (ret_ss == ss, test.type): + case (True, TestType.VALID): + info.ok(data) + case (False, TestType.VALID): + info.fail("Shared secrets do not match", data) + case _: + # We currently don't have other type of tests for encaps. + pass + results.add(info) + + rd.add(results, ["paramset"]) + + return rd + + +def test_decaps(decaps: Decaps, paramset: Paramset) -> ResultsDict: + """Tests decapsulation. + + Uses the given function to decapsulate ciphertexts and compares the results with the + test vectors' shared secrets. The test passes if the secrets match. + + Args: + decaps: The decapsulation implementation. + paramset: The parameter set to test. + + Returns: + A dictionary of results. It is empty if the internal decapsulation failed to + run, or the implementation raised NotImplementedError. + """ + param_vectors = _load_vectors(paramset) + rd = ResultsDict() + + test: MlkemTest + for vectors in param_vectors: + results = Results.new("Test ML-KEM decapsulation", ["paramset"]) + results.add_notes(vectors.notes) + + for test in track( + vectors.tests, rf"\[{paramset}]\[{vectors.source}] Testing decapsulation" + ): + info = TestInfo.new_from_test(test, vectors.compliance) + data = DecapsData(test.sk, test.ct, test.ss) + + try: + ret_ss = decaps(test.sk, test.ct) + except NotImplementedError: + logger.warning("%s Decaps not implemented, skipped", str(paramset)) + return rd + except Exception as error: + logger.debug("Caught an exception", exc_info=True) + info.fail(f"Exception raised: {str(error)}", data) + results.add(info) + continue + + data.ret_ss = ret_ss + + match (ret_ss == test.ss, test.type): + case (True, TestType.VALID): + info.ok(data) + case (False, TestType.VALID): + info.fail("Shared secrets do not match", data) + case _: + # We currently don't have other type of tests for decaps. + pass + results.add(info) + + rd.add(results, ["paramset"]) + + return rd + + +def test_output_encaps(output: Path, paramset: Paramset) -> ResultsDict: + r"""Tests output of encapsulation. + + To test the output of ML-KEM Encaps(), the secret key is used to decapsulate the + ciphertext and compare the shared secrets. + + Args: + output: A path to the output file. + paramset: The parameter set of the output. + + Returns: + A dictionary of results. + + Format: + - One line per hashing operation, separated by newlines ``\n``. + - Lines starting with ``#`` are considered comments and ignored. + - Values are written in hexadecimal. + - Values are separated by forward slashes ``/``. + - The order of the values is: + + .. code:: + + pk/sk/ct/ss + + - Where: + - ``pk`` is the public encapsulation key. + - ``sk`` is the secret decapsulation key. + - ``ct`` is the ciphertext. + - ``ss`` is the shared secret. + """ + if not output.is_file(): + raise FileNotFoundError("No output file '%s' found" % str(output)) + with output.open("r") as file: + lines = file.readlines() + + results = Results.new("Tests the output of ML-KEM Encaps", ["output", "paramset"]) + for index, line in track(enumerate(lines, 1), f"[{str(paramset)}] Testing output"): + if line.startswith("#"): + continue + line = line.strip() + match line.split("/"): + case [_pk, _sk, _ct, _ss]: + pk, sk, ct, ss = map(bytes.fromhex, (_pk, _sk, _ct, _ss)) + case _: + logger.error("Failed to parse line %d (expected 1 value)" % index) + continue + + info = TestInfo.new(index, TestType.VALID, ["UserInput"]) + data = EncapsData(pk, sk, ct, ss) + try: + ret_ss = _decaps(paramset, sk, ct) + except Exception: + logger.debug("Failed to decapsulate", exc_info=True) + info.fail("Error verifying the signature", data) + results.add(info) + continue + + if ret_ss == ss: + info.ok(data) + else: + info.fail("Shared secrets do not match", data) + results.add(info) + + rd = ResultsDict() + rd.add(results, ["output", "paramset"]) + return rd + + +# --------------------------- Runners ------------------------------------------------- + + +def run_python_wrapper( + wrapper: Path, compliance: bool, resilience: bool +) -> ResultsDict: + """Runs a ML-KEM Python wrapper. + + Args: + wrapper: A path to the wrapper to run. Must be a Python program. + compliance: Whether to use compliance test vectors. + resilience: Whether to use resilience test vectors. + + Returns: + A dictionary of results. + """ + logger.info("Running Python ML-KEM wrapper: '%s'", str(wrapper.name)) + sys.path.insert(0, str(wrapper.parent.absolute())) + already_imported = wrapper.stem in sys.modules.keys() + try: + mlkem_wrapper = importlib.import_module(wrapper.stem) + except ModuleNotFoundError as error: + logger.error("Can't import wrapper: '%s'", str(error)) + raise + if already_imported: + logger.debug("Reloading ML-KEM wrapper: '%s'", wrapper.stem) + mlkem_wrapper = importlib.reload(mlkem_wrapper) + + rd = ResultsDict() + for symbol in dir(mlkem_wrapper): + match symbol.split("_"): + case ["CC", "MLKEM", _pset, ("encaps" | "decaps") as op]: + logger.info("Found CC_MLKEM function '%s'", symbol) + try: + paramset = Paramset(f"ML-KEM-{_pset}") + except ValueError: + logger.error("Unknown parameter set ML-KEM-%s for ML-KEM", _pset) + continue + if op == "encaps": + rd |= test_encaps(getattr(mlkem_wrapper, symbol), paramset) + else: + rd |= test_decaps(getattr(mlkem_wrapper, symbol), paramset) + case ["CC", "MLKEM", *_]: + logger.warning("Ignored unknown CC_MLKEM symbol %s", symbol) + case _: + pass + + return rd + + +# --------------------------- Harness ------------------------------------------------- + + +def _test_harness_encaps( + ffi: cffi.FFI, lib, function: str, paramset: Paramset +) -> ResultsDict: + """Tests a harness for encapsulation. + + Args: + ffi: The FFI instance. + lib: The dlopen'd library. + function: The name of the function to test. + paramset: The function's parameter set. + + Returns: + The results returned by :func:`test_encaps`. + """ + logger.info("Testing harness function %s", function) + + ffi.cdef( + f"""void {function}(uint8_t *ct, size_t ctlen, + uint8_t *ss, size_t sslen, + const uint8_t *pk, size_t pklen);""" + ) + encap = getattr(lib, function) + + # Object sizes are known in advance so we can create the type. + c_ct = ffi.new(f"uint8_t[{paramset.ct_size}]") + c_ss = ffi.new("uint8_t[32]") + + def _encap(pk: bytes): + c_pk = ffi.new(f"uint8_t[{paramset.pk_size}]", pk) + encap(c_ct, paramset.ct_size, c_ss, 32, c_pk, paramset.pk_size) + return (bytes(c_ct), bytes(c_ss)) + + return test_encaps(_encap, paramset) + + +def _test_harness_decaps( + ffi: cffi.FFI, lib, function: str, paramset: Paramset +) -> ResultsDict: + """Tests a harness for decapsulation. + + Args: + ffi: The FFI instance. + lib: The dlopen'd library. + function: The name of the function to test. + paramset: The function's parameter set. + + Returns: + The results returned by :func:`test_decaps`. + """ + logger.info("Testing harness function %s", function) + + ffi.cdef( + f"""void {function}(uint8_t *ss, size_t sslen, + const uint8_t *ct, size_t ctlen, + const uint8_t *sk, size_t sklen);""" + ) + decap = getattr(lib, function) + + # Object sizes are known in advance so we can create the type. + c_ss = ffi.new("uint8_t[32]") + + def _decap(sk: bytes, ct: bytes): + c_sk = ffi.new(f"uint8_t[{paramset.sk_size}]", sk) + c_ct = ffi.new(f"uint8_t[{paramset.ct_size}]", ct) + decap(c_ss, 32, c_ct, paramset.ct_size, c_sk, paramset.sk_size) + return bytes(c_ss) + + return test_decaps(_decap, paramset) + + +def test_lib(ffi: cffi.FFI, lib, functions: list[str]) -> ResultsDict: + """Tests functions from a shared library. + + Args: + ffi: The FFI instance. + lib: The dlopen'd library. + functions: A list of CC_Kyber functions to test. + """ + logger.info("Found harness functions %s", ", ".join(functions)) + + rd = ResultsDict() + + for function in functions: + match function.split("_"): + case ["CC", "MLKEM", _pset, ("encaps" | "decaps") as op]: + try: + paramset = Paramset(f"ML-KEM-{_pset}") + except ValueError: + logger.error( + "Unknown parameter set '%s', skipped function %s", + _pset, + function, + ) + continue + if op == "encaps": + rd |= _test_harness_encaps(ffi, lib, function, paramset) + else: + rd |= _test_harness_decaps(ffi, lib, function, paramset) + case _: + logger.warning("Ignoring unknown CC_MLKEM function %s", function) + + return rd + + +if __name__ == "__main__": + _ = _get_shared_lib_dir() diff --git a/crypto_condor/primitives/Makefile b/crypto_condor/primitives/Makefile index 57c43d6..d665bff 100644 --- a/crypto_condor/primitives/Makefile +++ b/crypto_condor/primitives/Makefile @@ -4,7 +4,7 @@ all: libs # Installs libs through the installation function of their module. libs: python AES.py - python Dilithium.py - python Kyber.py python TestU01.py + python MLDSA.py + python MLKEM.py diff --git a/crypto_condor/primitives/_dilithium/dilithium.patch b/crypto_condor/primitives/_dilithium/dilithium.patch deleted file mode 100644 index f835bd1..0000000 --- a/crypto_condor/primitives/_dilithium/dilithium.patch +++ /dev/null @@ -1,24 +0,0 @@ -diff --git a/avx2/Makefile b/avx2/Makefile -index 80a7adb..2593ca8 100644 ---- a/avx2/Makefile -+++ b/avx2/Makefile -@@ -6,6 +6,7 @@ NISTFLAGS += -Wno-unused-result -mavx2 -mpopcnt -maes \ - -march=native -mtune=native -O3 - SOURCES = sign.c packing.c polyvec.c poly.c ntt.S invntt.S pointwise.S \ - shuffle.S consts.c rejsample.c rounding.c -+SOURCES += fips202.c randombytes.c - HEADERS = align.h config.h params.h api.h sign.h packing.h polyvec.h poly.h ntt.h \ - consts.h shuffle.inc rejsample.h rounding.h symmetric.h randombytes.h - KECCAK_SOURCES = $(SOURCES) fips202.c fips202x4.c f1600x4.S symmetric-shake.c -diff --git a/ref/Makefile b/ref/Makefile -index f871404..e9b9953 100644 ---- a/ref/Makefile -+++ b/ref/Makefile -@@ -3,6 +3,7 @@ CFLAGS += -Wall -Wextra -Wpedantic -Wmissing-prototypes -Wredundant-decls \ - -Wshadow -Wvla -Wpointer-arith -O3 -fomit-frame-pointer - NISTFLAGS += -Wno-unused-result -O3 -fomit-frame-pointer - SOURCES = sign.c packing.c polyvec.c poly.c ntt.c reduce.c rounding.c -+SOURCES += fips202.c randombytes.c - HEADERS = config.h params.h api.h sign.h packing.h polyvec.h poly.h ntt.h \ - reduce.h rounding.h symmetric.h randombytes.h - KECCAK_SOURCES = $(SOURCES) fips202.c symmetric-shake.c diff --git a/crypto_condor/primitives/_dilithium/dilithium.zip b/crypto_condor/primitives/_dilithium/dilithium.zip deleted file mode 100644 index 6d3d421..0000000 Binary files a/crypto_condor/primitives/_dilithium/dilithium.zip and /dev/null differ diff --git a/crypto_condor/primitives/_kyber/README.md b/crypto_condor/primitives/_kyber/README.md deleted file mode 100644 index df6daf8..0000000 --- a/crypto_condor/primitives/_kyber/README.md +++ /dev/null @@ -1,17 +0,0 @@ -# Kyber - -crypto-condor uses the [reference -implementation](https://github.com/pq-crystals/kyber) of -[Kyber](https://pq-crystals.org/kyber/index.shtml), specifically based on commit -[b628ba78711bc28327dc7d2d5c074a00f061884e](https://github.com/pq-crystals/kyber/commit/b628ba78711bc28327dc7d2d5c074a00f061884e). - -The changes done to integrate it into crypto-condor are described in the -`cc-kyber.patch` file. - -When this implementation is required, the source code is extracted from the zip -archive to a temporary directory and compiled. The resulting shared libraries, -one for each Kyber parameter set, are copied to the user's crypto-condor app -data directory, along with this notice. The libraries are loaded with the `cffi` -module. - -The version used is the one found in the `ref` directory. diff --git a/crypto_condor/primitives/_kyber/cc-kyber.patch b/crypto_condor/primitives/_kyber/cc-kyber.patch deleted file mode 100644 index 132ba2d..0000000 --- a/crypto_condor/primitives/_kyber/cc-kyber.patch +++ /dev/null @@ -1,47 +0,0 @@ -diff --git a/ref/Makefile b/ref/Makefile -index 7004b734..917505dc 100644 ---- a/ref/Makefile -+++ b/ref/Makefile -@@ -61,14 +61,14 @@ libpqcrystals_aes256ctr_ref.so: aes256ctr.c aes256ctr.h - libpqcrystals_sha2_ref.so: sha256.c sha512.c sha2.h - $(CC) -shared -fPIC $(CFLAGS) sha256.c sha512.c -o libpqcrystals_sha2_ref.so - --libpqcrystals_kyber512_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c -- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=2 $(SOURCES) symmetric-shake.c -o libpqcrystals_kyber512_ref.so -+libpqcrystals_kyber512_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c fips202.c randombytes.c -+ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=2 $(SOURCES) fips202.c randombytes.c symmetric-shake.c -o libpqcrystals_kyber512_ref.so - --libpqcrystals_kyber768_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c -- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=3 $(SOURCES) symmetric-shake.c -o libpqcrystals_kyber768_ref.so -+libpqcrystals_kyber768_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c fips202.c randombytes.c -+ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=3 $(SOURCES) randombytes.c fips202.c symmetric-shake.c -o libpqcrystals_kyber768_ref.so - --libpqcrystals_kyber1024_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c -- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=4 $(SOURCES) symmetric-shake.c -o libpqcrystals_kyber1024_ref.so -+libpqcrystals_kyber1024_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c fips202.c randombytes.c aes256ctr.c -+ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=4 $(SOURCES) aes256ctr.c randombytes.c fips202.c symmetric-shake.c -o libpqcrystals_kyber1024_ref.so - - test_kyber512: $(SOURCESKECCAK) $(HEADERSKECCAK) test_kyber.c randombytes.c - $(CC) $(CFLAGS) -DKYBER_K=2 $(SOURCESKECCAK) randombytes.c test_kyber.c -o test_kyber512 -@@ -106,14 +106,14 @@ test_speed768: $(SOURCESKECCAK) $(HEADERSKECCAK) cpucycles.h cpucycles.c speed_p - test_speed1024: $(SOURCESKECCAK) $(HEADERSKECCAK) cpucycles.h cpucycles.c speed_print.h speed_print.c test_speed.c randombytes.c - $(CC) $(CFLAGS) -DKYBER_K=4 $(SOURCESKECCAK) randombytes.c cpucycles.c speed_print.c test_speed.c -o test_speed1024 - --libpqcrystals_kyber512-90s_ref.so: $(SOURCES) $(HEADERS) symmetric-aes.c -- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=2 -DKYBER_90S $(SOURCES) symmetric-aes.c -o libpqcrystals_kyber512-90s_ref.so -+libpqcrystals_kyber512-90s_ref.so: $(SOURCES) $(HEADERS) symmetric-aes.c aes256ctr.c randombytes.c sha2.h sha256.c sha512.c -+ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=2 -DKYBER_90S $(SOURCES) sha512.c sha256.c randombytes.c aes256ctr.c symmetric-aes.c -o libpqcrystals_kyber512-90s_ref.so - --libpqcrystals_kyber768-90s_ref.so: $(SOURCES) $(HEADERS) symmetric-aes.c -- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=3 -DKYBER_90S $(SOURCES) symmetric-aes.c -o libpqcrystals_kyber768-90s_ref.so -+libpqcrystals_kyber768-90s_ref.so: $(SOURCES) $(HEADERS) symmetric-aes.c aes256ctr.c randombytes.c sha2.h sha256.c sha512.c -+ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=3 -DKYBER_90S $(SOURCES) sha512.c sha256.c randombytes.c aes256ctr.c symmetric-aes.c -o libpqcrystals_kyber768-90s_ref.so - --libpqcrystals_kyber1024-90s_ref.so: $(SOURCES) $(HEADERS) symmetric-aes.c -- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=4 -DKYBER_90S $(SOURCES) symmetric-aes.c -o libpqcrystals_kyber1024-90s_ref.so -+libpqcrystals_kyber1024-90s_ref.so: $(SOURCES) $(HEADERS) symmetric-aes.c aes256ctr.c randombytes.c sha2.h sha256.c sha512.c -+ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=4 -DKYBER_90S $(SOURCES) sha512.c sha256.c randombytes.c aes256ctr.c symmetric-aes.c -o libpqcrystals_kyber1024-90s_ref.so - - test_kyber512-90s: $(SOURCESNINETIES) $(HEADERSNINETIES) test_kyber.c randombytes.c - $(CC) $(CFLAGS) -D KYBER_90S -DKYBER_K=2 $(SOURCESNINETIES) randombytes.c test_kyber.c -o test_kyber512-90s - diff --git a/crypto_condor/primitives/_kyber/kyber.zip b/crypto_condor/primitives/_kyber/kyber.zip deleted file mode 100644 index 2ff4699..0000000 Binary files a/crypto_condor/primitives/_kyber/kyber.zip and /dev/null differ diff --git a/crypto_condor/primitives/_mldsa/.gitignore b/crypto_condor/primitives/_mldsa/.gitignore new file mode 100644 index 0000000..163815e --- /dev/null +++ b/crypto_condor/primitives/_mldsa/.gitignore @@ -0,0 +1 @@ +dilithium/ diff --git a/crypto_condor/primitives/_mldsa/Makefile b/crypto_condor/primitives/_mldsa/Makefile new file mode 100644 index 0000000..d2fc4cb --- /dev/null +++ b/crypto_condor/primitives/_mldsa/Makefile @@ -0,0 +1,11 @@ +all: mldsa.zip + +dilithium: + git clone https://github.com/pq-crystals/dilithium.git && git -C dilithium checkout 444cdcc84eb36b66fe27b3a2529ee48f6d8150c2 + +mldsa.zip: dilithium + git -C dilithium apply ../cc-mldsa.patch + zip $@ dilithium/ref/*.c dilithium/ref/*.h dilithium/ref/Makefile + +cc-mldsa.patch: + git -C dilithium diff >$@ diff --git a/crypto_condor/primitives/_dilithium/README.md b/crypto_condor/primitives/_mldsa/README.md similarity index 55% rename from crypto_condor/primitives/_dilithium/README.md rename to crypto_condor/primitives/_mldsa/README.md index 9b3940a..b64d08a 100644 --- a/crypto_condor/primitives/_dilithium/README.md +++ b/crypto_condor/primitives/_mldsa/README.md @@ -1,18 +1,18 @@ -# Dilithium +# ML-DSA crypto-condor uses the [reference implementation](https://github.com/pq-crystals/dilithium) of -[Dilithium](https://pq-crystals.org/dilithium/index.shtml), version -[3.1](https://github.com/pq-crystals/dilithium/releases/tag/v3.1). +[Dilithium](https://pq-crystals.org/dilithium/index.shtml), specifically based on commit +[444cdcc84eb36b66fe27b3a2529ee48f6d8150c2](https://github.com/pq-crystals/dilithium/commit/444cdcc84eb36b66fe27b3a2529ee48f6d8150c2), +which implements the changes for ML-DSA from the Dilithium submission. The changes done to integrate it into crypto-condor are described in the -`dilithium.patch` file. +`cc-mldsa.patch` file. When this implementation is required, the source code is extracted from the zip archive to a temporary directory and compiled. The resulting shared libraries, one for each parameter set, are copied to the user's crypto-condor app data directory, along with this notice. The libraries are loaded with `ctypes`. -The version used is the one found in the `ref` directory, without randomized -signing. The Dilithium-AES variant is not used. +The version used is the one found in the `ref` directory. diff --git a/crypto_condor/primitives/_mldsa/cc-mldsa.patch b/crypto_condor/primitives/_mldsa/cc-mldsa.patch new file mode 100644 index 0000000..584fe17 --- /dev/null +++ b/crypto_condor/primitives/_mldsa/cc-mldsa.patch @@ -0,0 +1,13 @@ +diff --git a/ref/Makefile b/ref/Makefile +index 2c94d35..6034acb 100644 +--- a/ref/Makefile ++++ b/ref/Makefile +@@ -8,6 +8,8 @@ HEADERS = config.h params.h api.h sign.h packing.h polyvec.h poly.h ntt.h \ + KECCAK_SOURCES = $(SOURCES) fips202.c symmetric-shake.c + KECCAK_HEADERS = $(HEADERS) fips202.h + ++SOURCES += fips202.c randombytes.c ++ + .PHONY: all speed shared clean + + all: \ diff --git a/crypto_condor/primitives/_mldsa/mldsa.zip b/crypto_condor/primitives/_mldsa/mldsa.zip new file mode 100644 index 0000000..ae001e5 Binary files /dev/null and b/crypto_condor/primitives/_mldsa/mldsa.zip differ diff --git a/crypto_condor/primitives/_mlkem/.gitignore b/crypto_condor/primitives/_mlkem/.gitignore new file mode 100644 index 0000000..92fd8fe --- /dev/null +++ b/crypto_condor/primitives/_mlkem/.gitignore @@ -0,0 +1 @@ +kyber/ diff --git a/crypto_condor/primitives/_mlkem/Makefile b/crypto_condor/primitives/_mlkem/Makefile new file mode 100644 index 0000000..94ef256 --- /dev/null +++ b/crypto_condor/primitives/_mlkem/Makefile @@ -0,0 +1,11 @@ +all: mlkem.zip + +kyber: + git clone https://github.com/pq-crystals/kyber.git && git -C kyber checkout 10b478fc3cc4ff6215eb0b6a11bd758bf0929cbd + +mlkem.zip: kyber + git -C kyber apply ../cc-mlkem.patch + zip $@ kyber/ref/*.c kyber/ref/*.h kyber/ref/Makefile + +cc-mlkem.patch: + git -C kyber diff >$@ diff --git a/crypto_condor/primitives/_mlkem/README.md b/crypto_condor/primitives/_mlkem/README.md new file mode 100644 index 0000000..b398e66 --- /dev/null +++ b/crypto_condor/primitives/_mlkem/README.md @@ -0,0 +1,16 @@ +# ML-KEM + +crypto-condor uses the [reference implementation](https://github.com/pq-crystals/kyber) +of [Kyber](https://pq-crystals.org/kyber/index.shtml), specifically based on commit +[10b478fc3cc4ff6215eb0b6a11bd758bf0929cbd](https://github.com/pq-crystals/kyber/commit/10b478fc3cc4ff6215eb0b6a11bd758bf0929cbd) +which implements the changes for ML-KEM from the Kyber submission. + +The changes done to integrate it into crypto-condor are described in the +`cc-mlkem.patch` file. + +When this implementation is required, the source code is extracted from the zip archive +to a temporary directory and compiled. The resulting shared libraries, one for each +ML-KEM parameter set, are copied to the user's crypto-condor app data directory, along +with this notice. The libraries are loaded with the `cffi` module. + +The version used is the one found in the `ref` directory. diff --git a/crypto_condor/primitives/_mlkem/cc-mlkem.patch b/crypto_condor/primitives/_mlkem/cc-mlkem.patch new file mode 100644 index 0000000..919d517 --- /dev/null +++ b/crypto_condor/primitives/_mlkem/cc-mlkem.patch @@ -0,0 +1,28 @@ +diff --git a/ref/Makefile b/ref/Makefile +index c0bcbd4..5c9ce81 100644 +--- a/ref/Makefile ++++ b/ref/Makefile +@@ -42,17 +42,17 @@ lib/libpqcrystals_fips202_ref.so: fips202.c fips202.h + mkdir -p lib + $(CC) -shared -fPIC $(CFLAGS) fips202.c -o $@ + +-lib/libpqcrystals_kyber512_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c ++lib/libpqcrystals_kyber512_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c fips202.c randombytes.c + mkdir -p lib +- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=2 $(SOURCES) symmetric-shake.c -o $@ ++ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=2 $(SOURCES) fips202.c randombytes.c symmetric-shake.c -o $@ + +-lib/libpqcrystals_kyber768_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c ++lib/libpqcrystals_kyber768_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c fips202.c randombytes.c + mkdir -p lib +- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=3 $(SOURCES) symmetric-shake.c -o $@ ++ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=3 $(SOURCES) fips202.c randombytes.c symmetric-shake.c -o $@ + +-lib/libpqcrystals_kyber1024_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c ++lib/libpqcrystals_kyber1024_ref.so: $(SOURCES) $(HEADERS) symmetric-shake.c fips202.c randombytes.c + mkdir -p lib +- $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=4 $(SOURCES) symmetric-shake.c -o $@ ++ $(CC) -shared -fPIC $(CFLAGS) -DKYBER_K=4 $(SOURCES) fips202.c randombytes.c symmetric-shake.c -o $@ + + test/test_kyber512: $(SOURCESKECCAK) $(HEADERSKECCAK) test/test_kyber.c randombytes.c + $(CC) $(CFLAGS) -DKYBER_K=2 $(SOURCESKECCAK) randombytes.c test/test_kyber.c -o $@ diff --git a/crypto_condor/primitives/_mlkem/mlkem.zip b/crypto_condor/primitives/_mlkem/mlkem.zip new file mode 100644 index 0000000..79c0162 Binary files /dev/null and b/crypto_condor/primitives/_mlkem/mlkem.zip differ diff --git a/crypto_condor/primitives/common.py b/crypto_condor/primitives/common.py index 2df623b..cd0a8de 100644 --- a/crypto_condor/primitives/common.py +++ b/crypto_condor/primitives/common.py @@ -269,6 +269,28 @@ def new( else: return cls(id, type, flags, None, comment, None, None) + @classmethod + def new_from_test(cls, test: Any, compliance: bool): + """Creates a new instance of TestInfo from a test vector. + + Args: + test: The test vector. It must contain the fields defined in + utils/templates/new-vectors.proto. + compliance: Whether the test vector is for compliance or not. + + Returns: + A new instance of TestInfo with the ``result``, ``err_msg``, and ``data`` + fields set to None. + """ + # If there are no flags, add one for Compliance or Resilience. + if not test.flags: + flags = ["Compliance"] if compliance else ["Resilience"] + # Otherwise add the correct prefix. + else: + prefix = "Compliance" if compliance else "Resilience" + flags = [f"{prefix}/{flag}" for flag in test.flags] + return cls(test.id, TestType(test.type), flags, None, test.comment, None, None) + def ok(self, data: Any | None = None) -> None: """Marks a test as passed. @@ -832,7 +854,7 @@ def process_results( # For TestInfo we have to print the debug data # separately. if isinstance(data, TestInfo): - printer.print(str(data), str(data.data)) + printer.print(str(data), str(data.data), sep="") else: printer.print(str(data)) else: diff --git a/docs/source/method/Dilithium.md b/crypto_condor/resources/guides/MLDSA.md similarity index 97% rename from docs/source/method/Dilithium.md rename to crypto_condor/resources/guides/MLDSA.md index 9fd274d..231d3d0 100644 --- a/docs/source/method/Dilithium.md +++ b/crypto_condor/resources/guides/MLDSA.md @@ -1,4 +1,8 @@ -# CRYSTALS-Dilithium +# ML-DSA + +:::{attention} Work in progress +We are currently updating the CRYSTALS-Dilithium guide to ML-DSA. +::: [Dilithium](https://pq-crystals.org/dilithium/index.shtml) is "a digital signature scheme that is strongly secure under chosen message attacks based on @@ -155,5 +159,5 @@ Other attacks: ## Bibliography -:::{bibliography} dilithium.bib +:::{bibliography} mldsa.bib ::: diff --git a/crypto_condor/resources/guides/Kyber.md b/crypto_condor/resources/guides/MLKEM.md similarity index 97% rename from crypto_condor/resources/guides/Kyber.md rename to crypto_condor/resources/guides/MLKEM.md index a8362bc..1d70522 100644 --- a/crypto_condor/resources/guides/Kyber.md +++ b/crypto_condor/resources/guides/MLKEM.md @@ -1,4 +1,8 @@ -# CRYSTALS-Kyber +# ML-KEM + +:::{attention} Work in progress +We are currently updating the CRYSTALS-Kyber guide to ML-KEM. +::: [Kyber](https://pq-crystals.org/kyber/index.shtml) is "an IND-CCA2-secure key encapsulation mechanism (KEM), whose security is based on the hardness of @@ -143,5 +147,5 @@ Leakage of Barrett Reduction, {cite}`sim_chosen-ciphertext_2022`. ## Bibliography -:::{bibliography} kyber.bib +:::{bibliography} mlkem.bib ::: diff --git a/crypto_condor/resources/wrappers/Dilithium/Python-examples/1/dilithium_wrapper.py b/crypto_condor/resources/wrappers/Dilithium/Python-examples/1/dilithium_wrapper.py deleted file mode 100644 index 5851d1a..0000000 --- a/crypto_condor/resources/wrappers/Dilithium/Python-examples/1/dilithium_wrapper.py +++ /dev/null @@ -1,41 +0,0 @@ -"""Example 1: Internal implementation. - -This example uses our internal implementation, which is a wrapper around the -reference implementation from the NIST submission package for Round 3. -""" - -from crypto_condor.primitives import Dilithium - - -def sign(secret_key: bytes, message: bytes) -> bytes: - """Signs a message. - - Args: - secret_key: - The secret key. - message: - The message to sign. - - Returns: - The computed signature. - """ - return Dilithium._sign(Dilithium.Paramset.DILITHIUM2, secret_key, message) - - -def verify(public_key: bytes, message: bytes, signature: bytes) -> bool: - """Verifies a signed message. - - Args: - public_key: - The public key. - message: - The signed message. - signature: - The signature to verify. - - Returns: - True if the signature is valid, False otherwise. - """ - return Dilithium._verify( - Dilithium.Paramset.DILITHIUM2, public_key, message, signature - ) diff --git a/crypto_condor/resources/wrappers/Dilithium/Python/dilithium_wrapper.py b/crypto_condor/resources/wrappers/Dilithium/Python/dilithium_wrapper.py deleted file mode 100644 index fb9bded..0000000 --- a/crypto_condor/resources/wrappers/Dilithium/Python/dilithium_wrapper.py +++ /dev/null @@ -1,37 +0,0 @@ -"""Template for te Python Dilithium wrapper. - -See the documentation for a guide on how to use the template, as well as some -examples. -""" - - -def sign(secret_key: bytes, message: bytes) -> bytes: - """Signs a message. - - Args: - secret_key: - The secret key. - message: - The message to sign. - - Returns: - The computed signature. - """ - pass - - -def verify(public_key: bytes, message: bytes, signature: bytes) -> bool: - """Verifies a signed message. - - Args: - public_key: - The public key. - message: - The signed message. - signature: - The signature to verify. - - Returns: - True if the signature is valid, False otherwise. - """ - pass diff --git a/crypto_condor/resources/wrappers/Kyber/Python-examples/1/kyber_wrapper.py b/crypto_condor/resources/wrappers/Kyber/Python-examples/1/kyber_wrapper.py deleted file mode 100644 index 3cbebc6..0000000 --- a/crypto_condor/resources/wrappers/Kyber/Python-examples/1/kyber_wrapper.py +++ /dev/null @@ -1,36 +0,0 @@ -"""Example 1: Internal implementation. - -This example uses our internal implementation, which is a wrapper around the -reference implementation from the NIST submission package for Round 3. -""" - -from crypto_condor.primitives import Kyber - - -def encapsulate(public_key: bytes) -> tuple[bytes, bytes]: - """Generates a random secret and encapsulates it. - - Args: - public_key: - The public key to use for encapsulating the generated secret. - - Returns: - A tuple (ct, ss) containing the generated secret ss and the resulting - ciphertext ct. - """ - return Kyber._encapsulate(Kyber.Paramset.KYBER512, public_key) - - -def decapsulate(secret_key: bytes, ciphertext: bytes) -> bytes: - """Decapsulates a ciphertext containing a generated secret. - - Args: - secret_key: - The secret key to use for decapsulating the ciphertext. - ciphertext: - A ciphertext of the shared secret. - - Returns: - The generated shared secret. - """ - return Kyber._decapsulate(Kyber.Paramset.KYBER512, secret_key, ciphertext) diff --git a/crypto_condor/resources/wrappers/Kyber/Python/kyber_wrapper.py b/crypto_condor/resources/wrappers/Kyber/Python/kyber_wrapper.py deleted file mode 100644 index 3ff3827..0000000 --- a/crypto_condor/resources/wrappers/Kyber/Python/kyber_wrapper.py +++ /dev/null @@ -1,34 +0,0 @@ -"""Template for the Python Kyber wrapper. - -See the documentation for a guide on how to use the template, as well as some -examples. -""" - - -def encapsulate(public_key: bytes) -> tuple[bytes, bytes]: - """Generates a random secret and encapsulates it. - - Args: - public_key: - The public key to use for encapsulating the generated secret. - - Returns: - A tuple (ct, ss) containing the generated secret ss and the resulting - ciphertext ct. - """ - pass - - -def decapsulate(secret_key: bytes, ciphertext: bytes) -> bytes: - """Decapsulates a ciphertext containing a generated secret. - - Args: - secret_key: - The secret key to use for decapsulating the ciphertext. - ciphertext: - A ciphertext of the shared secret. - - Returns: - The generated shared secret. - """ - pass diff --git a/crypto_condor/resources/wrappers/MLDSA/Python-examples/1/MLDSA_wrapper_example_1.py b/crypto_condor/resources/wrappers/MLDSA/Python-examples/1/MLDSA_wrapper_example_1.py new file mode 100644 index 0000000..e192b1a --- /dev/null +++ b/crypto_condor/resources/wrappers/MLDSA/Python-examples/1/MLDSA_wrapper_example_1.py @@ -0,0 +1,97 @@ +"""Wrapper example for ML-DSA. + +Uses the internal implementation, which calls the reference implementation from the +Dilithium submission. +""" + +from crypto_condor.primitives import MLDSA + + +def CC_MLDSA_44_sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs a message. + + Args: + sk: The secret key to use. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signed message, i.e. the concatenation of the signature and the message. + """ + return MLDSA._sign(MLDSA.Paramset.ML_DSA_44, sk, msg, ctx) + + +def CC_MLDSA_44_verify(pk: bytes, sig: bytes, msg: bytes | None, ctx: bytes) -> bool: + """Verifies an ML-DSA signature. + + Args: + pk: The public key to use. + sig: The signature to verify. If msg is None, it is the signed message + (signature and message concatenated), else it is just the signature. + msg: The message that was signed. + ctx: The context string. Can be an empty bytestring. + + Returns: + True if the signature is valid, False otherwise. + """ + return MLDSA._verify(MLDSA.Paramset.ML_DSA_44, pk, sig, msg, ctx) + + +def CC_MLDSA_65_sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs a message. + + Args: + sk: The secret key to use. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signed message, i.e. the concatenation of the signature and the message. + """ + return MLDSA._sign(MLDSA.Paramset.ML_DSA_65, sk, msg, ctx) + + +def CC_MLDSA_65_verify(pk: bytes, sig: bytes, msg: bytes | None, ctx: bytes) -> bool: + """Verifies an ML-DSA signature. + + Args: + pk: The public key to use. + sig: The signature to verify. If msg is None, it is the signed message + (signature and message concatenated), else it is just the signature. + msg: The message that was signed. + ctx: The context string. Can be an empty bytestring. + + Returns: + True if the signature is valid, False otherwise. + """ + return MLDSA._verify(MLDSA.Paramset.ML_DSA_65, pk, sig, msg, ctx) + + +def CC_MLDSA_87_sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs a message. + + Args: + sk: The secret key to use. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signed message, i.e. the concatenation of the signature and the message. + """ + return MLDSA._sign(MLDSA.Paramset.ML_DSA_87, sk, msg, ctx) + + +def CC_MLDSA_87_verify(pk: bytes, sig: bytes, msg: bytes | None, ctx: bytes) -> bool: + """Verifies an ML-DSA signature. + + Args: + pk: The public key to use. + sig: The signature to verify. If msg is None, it is the signed message + (signature and message concatenated), else it is just the signature. + msg: The message that was signed. + ctx: The context string. Can be an empty bytestring. + + Returns: + True if the signature is valid, False otherwise. + """ + return MLDSA._verify(MLDSA.Paramset.ML_DSA_87, pk, sig, msg, ctx) diff --git a/crypto_condor/resources/wrappers/MLDSA/Python/MLDSA_wrapper.py b/crypto_condor/resources/wrappers/MLDSA/Python/MLDSA_wrapper.py new file mode 100644 index 0000000..d9a32ba --- /dev/null +++ b/crypto_condor/resources/wrappers/MLDSA/Python/MLDSA_wrapper.py @@ -0,0 +1,91 @@ +"""Wrapper for ML-DSA implementations.""" + + +def CC_MLDSA_44_sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs a message. + + Args: + sk: The secret key to use. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signed message, i.e. the concatenation of the signature and the message. + """ + raise NotImplementedError + + +def CC_MLDSA_44_verify(pk: bytes, sig: bytes, msg: bytes | None, ctx: bytes) -> bool: + """Verifies an ML-DSA signature. + + Args: + pk: The public key to use. + sig: The signature to verify. If msg is None, it is the signed message + (signature and message concatenated), else it is just the signature. + msg: The message that was signed. + ctx: The context string. Can be an empty bytestring. + + Returns: + True if the signature is valid, False otherwise. + """ + raise NotImplementedError + + +def CC_MLDSA_65_sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs a message. + + Args: + sk: The secret key to use. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signed message, i.e. the concatenation of the signature and the message. + """ + raise NotImplementedError + + +def CC_MLDSA_65_verify(pk: bytes, sig: bytes, msg: bytes | None, ctx: bytes) -> bool: + """Verifies an ML-DSA signature. + + Args: + pk: The public key to use. + sig: The signature to verify. If msg is None, it is the signed message + (signature and message concatenated), else it is just the signature. + msg: The message that was signed. + ctx: The context string. Can be an empty bytestring. + + Returns: + True if the signature is valid, False otherwise. + """ + raise NotImplementedError + + +def CC_MLDSA_87_sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + """Signs a message. + + Args: + sk: The secret key to use. + msg: The message to sign. + ctx: The context string. Can be an empty bytestring. + + Returns: + The signed message, i.e. the concatenation of the signature and the message. + """ + raise NotImplementedError + + +def CC_MLDSA_87_verify(pk: bytes, sig: bytes, msg: bytes | None, ctx: bytes) -> bool: + """Verifies an ML-DSA signature. + + Args: + pk: The public key to use. + sig: The signature to verify. If msg is None, it is the signed message + (signature and message concatenated), else it is just the signature. + msg: The message that was signed. + ctx: The context string. Can be an empty bytestring. + + Returns: + True if the signature is valid, False otherwise. + """ + raise NotImplementedError diff --git a/crypto_condor/resources/wrappers/MLKEM/Python-examples/1/MLKEM_wrapper_example_1.py b/crypto_condor/resources/wrappers/MLKEM/Python-examples/1/MLKEM_wrapper_example_1.py new file mode 100644 index 0000000..2d07824 --- /dev/null +++ b/crypto_condor/resources/wrappers/MLKEM/Python-examples/1/MLKEM_wrapper_example_1.py @@ -0,0 +1,82 @@ +"""Wrapper example for ML-KEM. + +Uses the internal implementation, which calls the reference implementation from the +Kyber submission. +""" + +from crypto_condor.primitives import MLKEM + + +def CC_MLKEM_512_encaps(pk: bytes) -> tuple[bytes, bytes]: + """Generates and encapsulates a shared secret. + + Args: + pk: The public key to encapsulate the secret with. + + Returns: + A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). + """ + return MLKEM._encaps(MLKEM.Paramset.MLKEM512, pk) + + +def CC_MLKEM_512_decaps(sk: bytes, ct: bytes) -> bytes: + """Decapsulates a shared secret. + + Args: + sk: The secret key to use. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + """ + return MLKEM._decaps(MLKEM.Paramset.MLKEM512, sk, ct) + + +def CC_MLKEM_768_encaps(pk: bytes) -> tuple[bytes, bytes]: + """Generates and encapsulates a shared secret. + + Args: + pk: The public key to encapsulate the secret with. + + Returns: + A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). + """ + return MLKEM._encaps(MLKEM.Paramset.MLKEM768, pk) + + +def CC_MLKEM_768_decaps(sk: bytes, ct: bytes) -> bytes: + """Decapsulates a shared secret. + + Args: + sk: The secret key to use. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + """ + return MLKEM._decaps(MLKEM.Paramset.MLKEM768, sk, ct) + + +def CC_MLKEM_1024_encaps(pk: bytes) -> tuple[bytes, bytes]: + """Generates and encapsulates a shared secret. + + Args: + pk: The public key to encapsulate the secret with. + + Returns: + A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). + """ + return MLKEM._encaps(MLKEM.Paramset.MLKEM1024, pk) + + +def CC_MLKEM_1024_decaps(sk: bytes, ct: bytes) -> bytes: + """Decapsulates a shared secret. + + Args: + sk: The secret key to use. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + """ + return MLKEM._decaps(MLKEM.Paramset.MLKEM1024, sk, ct) diff --git a/crypto_condor/resources/wrappers/MLKEM/Python/MLKEM_wrapper.py b/crypto_condor/resources/wrappers/MLKEM/Python/MLKEM_wrapper.py new file mode 100644 index 0000000..8accd91 --- /dev/null +++ b/crypto_condor/resources/wrappers/MLKEM/Python/MLKEM_wrapper.py @@ -0,0 +1,76 @@ +"""Wrapper for ML-KEM implementations.""" + + +def CC_MLKEM_512_encaps(pk: bytes) -> tuple[bytes, bytes]: + """Generates and encapsulates a shared secret. + + Args: + pk: The public key to encapsulate the secret with. + + Returns: + A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). + """ + raise NotImplementedError + + +def CC_MLKEM_512_decaps(sk: bytes, ct: bytes) -> bytes: + """Decapsulates a shared secret. + + Args: + sk: The secret key to use. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + """ + raise NotImplementedError + + +def CC_MLKEM_768_encaps(pk: bytes) -> tuple[bytes, bytes]: + """Generates and encapsulates a shared secret. + + Args: + pk: The public key to encapsulate the secret with. + + Returns: + A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). + """ + raise NotImplementedError + + +def CC_MLKEM_768_decaps(sk: bytes, ct: bytes) -> bytes: + """Decapsulates a shared secret. + + Args: + sk: The secret key to use. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + """ + raise NotImplementedError + + +def CC_MLKEM_1024_encaps(pk: bytes) -> tuple[bytes, bytes]: + """Generates and encapsulates a shared secret. + + Args: + pk: The public key to encapsulate the secret with. + + Returns: + A tuple (ct, ss) containing the shared secret (ss) and ciphertext (ct). + """ + raise NotImplementedError + + +def CC_MLKEM_1024_decaps(sk: bytes, ct: bytes) -> bytes: + """Decapsulates a shared secret. + + Args: + sk: The secret key to use. + ct: The ciphertext to decapsulate. + + Returns: + The decapsulated shared secret. + """ + raise NotImplementedError diff --git a/crypto_condor/vectors/Dilithium.py b/crypto_condor/vectors/Dilithium.py deleted file mode 100644 index f3315c1..0000000 --- a/crypto_condor/vectors/Dilithium.py +++ /dev/null @@ -1,128 +0,0 @@ -"""Test vectors for CRYSTALS-Dilithium.""" - -import logging -from importlib import resources - -import attrs -import strenum -from google.protobuf import message - -from crypto_condor.vectors._dilithium.dilithium_pb2 import ( - DilithiumNistTest, - DilithiumNistVectors, -) - -# --------------------------- Module -------------------------------------------------- - -logger = logging.getLogger(__name__) - -# --------------------------- Enums --------------------------------------------------- - - -class Paramset(strenum.StrEnum): - """Available parameter sets.""" - - def __new__(cls, value): - """Override __new__ to add custom properties.""" - member = str.__new__(cls, value) - member._value_ = value - match value: - case "Dilithium2": - member._pk_size_ = 1312 - member._sk_size_ = 2528 - member._sig_size_ = 2420 - case "Dilithium3": - member._pk_size_ = 1952 - member._sk_size_ = 4000 - member._sig_size_ = 3293 - case "Dilithium5": - member._pk_size_ = 2592 - member._sk_size_ = 4864 - member._sig_size_ = 4595 - return member - - @property - def pk_size(self): - """The size of the public key.""" - return self._pk_size_ - - @property - def sk_size(self): - """The size of the secret key.""" - return self._sk_size_ - - @property - def sig_size(self): - """The size of the signature.""" - return self._sig_size_ - - DILITHIUM2 = "Dilithium2" - DILITHIUM3 = "Dilithium3" - DILITHIUM5 = "Dilithium5" - - -# --------------------------- Exceptions ---------------------------------------------- - - -class DilithiumVectorsError(Exception): - """Exception for errors when loading vectors.""" - - pass - - -# --------------------------- Vectors ------------------------------------------------- - - -@attrs.define(frozen=True) -class DilithiumVectors: - """A class to load Dilithium test vectors. - - Do not instantiate directly, use :meth:`load` instead. - - Args: - parameter_set: - The parameter set of the vectors. - tests: - A list of the test vectors for the given parameter set. - - Example: - Using :meth:`load` to load the test vectors: - - >>> from crypto_condor.vectors.Dilithium import DilithiumVectors, Paramset - >>> vectors = DilithiumVectors.load(Paramset.DILITHIUM2) - """ - - parameter_set: Paramset - tests: list[DilithiumNistTest] - - @classmethod - def load(cls, parameter_set: Paramset): - """Loads Dilithium test vectors. - - Args: - parameter_set: The parameter set of the vectors to load. - - Returns: - An instance of :class:`DilithiumVectors` with the corresponding test - vectors. - - Raises: - FileNotFoundError: If the test vectors file was not found. This should not - occur, as the vectors are bundled in the package. - DilithiumVectorsError: If an error occurred while importing the file. - """ - vectors_dir = resources.files("crypto_condor") / "vectors/_dilithium/dat" - filename = f"{str(parameter_set)}.dat" - vector_file = vectors_dir / filename - if not vector_file.is_file(): - raise FileNotFoundError("Missing vectors file %s" % filename) - vectors = DilithiumNistVectors() - try: - vectors.ParseFromString(vector_file.read_bytes()) - except message.DecodeError as error: - logger.debug( - "Could not decode protobuf from %s", str(vector_file), exc_info=True - ) - raise DilithiumVectorsError("Could not load Dilithium vectors") from error - - return cls(parameter_set, list(vectors.tests)) diff --git a/crypto_condor/vectors/Kyber.py b/crypto_condor/vectors/Kyber.py deleted file mode 100644 index 2bee33d..0000000 --- a/crypto_condor/vectors/Kyber.py +++ /dev/null @@ -1,121 +0,0 @@ -"""Test vectors for CRYSTALS-Kyber.""" - -import logging -from importlib import resources - -import attrs -import strenum -from google.protobuf import message - -from crypto_condor.vectors._kyber.kyber_pb2 import KyberNistTest, KyberNistVectors - -# --------------------------- Module -------------------------------------------------- - -logger = logging.getLogger(__name__) - -# --------------------------- Enums --------------------------------------------------- - - -class Paramset(strenum.StrEnum): - """Available parameter sets.""" - - def __new__(cls, value): - """Override __new__ to add custom properties.""" - member = str.__new__(cls, value) - member._value_ = value - match value: - case "Kyber512" | "Kyber512-90s": - member._sk_size_ = 1632 - member._pk_size_ = 800 - member._ct_size_ = 768 - case "Kyber768" | "Kyber768-90s": - member._sk_size_ = 2400 - member._pk_size_ = 1184 - member._ct_size_ = 1088 - case "Kyber1024" | "Kyber1024-90s": - member._sk_size_ = 3168 - member._pk_size_ = 1568 - member._ct_size_ = 1568 - return member - - @property - def sk_size(self): - """The secret key size of the parameter set in bytes.""" - return self._sk_size_ - - @property - def pk_size(self): - """The public key size of the parameter set in bytes.""" - return self._pk_size_ - - @property - def ct_size(self): - """The ciphertext size of the parameter set in bytes.""" - return self._ct_size_ - - KYBER512 = "Kyber512" - KYBER512_90s = "Kyber512-90s" - KYBER768 = "Kyber768" - KYBER768_90s = "Kyber768-90s" - KYBER1024 = "Kyber1024" - KYBER1024_90s = "Kyber1024-90s" - - -# --------------------------- Exceptions ---------------------------------------------- - - -class KyberVectorsError(Exception): - """Exception for errors when loading vectors.""" - - pass - - -@attrs.define(frozen=True) -class KyberVectors: - """A class to load Kyber test vectors. - - Do not instantiate directly, use :meth:`load` instead. - - Args: - parameter_set: The parameter set of the vectors. - tests: A list of the test vectors for the given parameter set. - - Example: - Using :meth:`load` to load the test vectors: - - >>> from crypto_condor.vectors.Kyber import KyberVectors, Paramset - >>> vectors = KyberVectors.load(Paramset.KYBER512) - """ - - parameter_set: Paramset - tests: list[KyberNistTest] - - @classmethod - def load(cls, parameter_set: Paramset): - """Loads Kyber test vectors. - - Args: - parameter_set: The parameter set of the vectors to load. - - Returns: - An instance of :class:`KyberVectors` with the corresponding test vectors. - - Raises: - FileNotFoundError: If the test vectors file was not found. This should not - occur, as the vectors are bundled in the package. - KyberVectorsError: If an error occurred while importing the file. - """ - vectors_dir = resources.files("crypto_condor") / "vectors/_kyber/dat" - filename = f"{str(parameter_set)}.dat" - vector_file = vectors_dir / filename - if not vector_file.is_file(): - raise FileNotFoundError("Missing vectors file %s" % filename) - vectors = KyberNistVectors() - try: - vectors.ParseFromString(vector_file.read_bytes()) - except message.DecodeError as error: - logger.debug( - "Could not decode protobuf %s", str(vector_file), exc_info=True - ) - raise KyberVectorsError("Could not load Kyber vectors") from error - return cls(parameter_set, list(vectors.tests)) diff --git a/crypto_condor/vectors/_dilithium/dilithium.proto b/crypto_condor/vectors/_dilithium/dilithium.proto deleted file mode 100644 index 7896079..0000000 --- a/crypto_condor/vectors/_dilithium/dilithium.proto +++ /dev/null @@ -1,24 +0,0 @@ -syntax = "proto3"; - -package crypto_condor; - -// A single Dilithium test vector. -message DilithiumNistTest { - int32 count = 1; - - bytes seed = 2; - int32 mlen = 3; - bytes msg = 4; - bytes pk = 5; - bytes sk = 6; - int32 smlen = 7; - bytes sm = 8; -} - - -// A group of test vectors for a single parameter set. -message DilithiumNistVectors { - // The name of the parameter set, e.g. Dilithium2. - string name = 1; - repeated DilithiumNistTest tests = 2; -} diff --git a/crypto_condor/vectors/_dilithium/dilithium_import.py b/crypto_condor/vectors/_dilithium/dilithium_import.py deleted file mode 100644 index 2be8baa..0000000 --- a/crypto_condor/vectors/_dilithium/dilithium_import.py +++ /dev/null @@ -1,68 +0,0 @@ -"""Module to import NIST CRYSTALS-Dilithium test vectors. - -.. caution:: - This module is intended for developers of this tool, as it's only used for - testing and packaging, has hard-coded filenames, and uses relative paths. -""" - -from pathlib import Path - -from crypto_condor.vectors._dilithium.dilithium_pb2 import DilithiumNistVectors - -VECTORS_DIR = Path("crypto_condor/vectors/_dilithium") - - -def import_kat_vectors(name: str): - """Imports Dilithium KAT test vectors. - - The file is parsed and serialized with - :class:`crypto_condor.vectors._dilithium.dilithium_pb2.DilithiumNistVectors`. - - The files will be named Dilithium{2,3,5}.dat - - Args: - name: The name of the Dilithium parameter set, e.g. Dilithium2. - """ - # WARN: hard-coded path. - file = VECTORS_DIR / "rsp" / f"PQCsignKAT_{name}.rsp" - # Vectors are separated by a newline so by splitting on two newlines we get all - # blocks separately. - blocks = file.read_text().split("\n\n") - - vectors = DilithiumNistVectors() - - for block in blocks: - block = block.strip() - if not block or block.startswith("#"): - continue - vector = vectors.tests.add() - lines = block.split("\n") - for line in lines: - key, value = line.split(" = ") - match key: - case "count" | "mlen" | "smlen": - setattr(vector, key, int(value)) - case "seed" | "msg" | "pk" | "sk" | "sm": - setattr(vector, key, bytes.fromhex(value)) - case _: - raise ValueError(f"Unknown key {key}") - - file = VECTORS_DIR / "dat" / f"{name}.dat" - file.write_bytes(vectors.SerializeToString()) - - -if __name__ == "__main__": - dat_dir = VECTORS_DIR / "dat" - dat_dir.mkdir(exist_ok=True) - - parameter_sets = [ - "Dilithium2", - "Dilithium3", - "Dilithium5", - ] - - for param in parameter_sets: - import_kat_vectors(param) - - imported_marker = VECTORS_DIR / "dilithium.imported" - imported_marker.touch() diff --git a/crypto_condor/vectors/_dilithium/dilithium_pb2.py b/crypto_condor/vectors/_dilithium/dilithium_pb2.py deleted file mode 100644 index 8f65af8..0000000 --- a/crypto_condor/vectors/_dilithium/dilithium_pb2.py +++ /dev/null @@ -1,28 +0,0 @@ -# -*- coding: utf-8 -*- -# Generated by the protocol buffer compiler. DO NOT EDIT! -# source: dilithium.proto -# Protobuf Python Version: 5.26.1 -"""Generated protocol buffer code.""" -from google.protobuf import descriptor as _descriptor -from google.protobuf import descriptor_pool as _descriptor_pool -from google.protobuf import symbol_database as _symbol_database -from google.protobuf.internal import builder as _builder -# @@protoc_insertion_point(imports) - -_sym_db = _symbol_database.Default() - - - - -DESCRIPTOR = _descriptor_pool.Default().AddSerializedFile(b'\n\x0f\x64ilithium.proto\x12\rcrypto_condor\"~\n\x11\x44ilithiumNistTest\x12\r\n\x05\x63ount\x18\x01 \x01(\x05\x12\x0c\n\x04seed\x18\x02 \x01(\x0c\x12\x0c\n\x04mlen\x18\x03 \x01(\x05\x12\x0b\n\x03msg\x18\x04 \x01(\x0c\x12\n\n\x02pk\x18\x05 \x01(\x0c\x12\n\n\x02sk\x18\x06 \x01(\x0c\x12\r\n\x05smlen\x18\x07 \x01(\x05\x12\n\n\x02sm\x18\x08 \x01(\x0c\"U\n\x14\x44ilithiumNistVectors\x12\x0c\n\x04name\x18\x01 \x01(\t\x12/\n\x05tests\x18\x02 \x03(\x0b\x32 .crypto_condor.DilithiumNistTestb\x06proto3') - -_globals = globals() -_builder.BuildMessageAndEnumDescriptors(DESCRIPTOR, _globals) -_builder.BuildTopDescriptorsAndMessages(DESCRIPTOR, 'dilithium_pb2', _globals) -if not _descriptor._USE_C_DESCRIPTORS: - DESCRIPTOR._loaded_options = None - _globals['_DILITHIUMNISTTEST']._serialized_start=34 - _globals['_DILITHIUMNISTTEST']._serialized_end=160 - _globals['_DILITHIUMNISTVECTORS']._serialized_start=162 - _globals['_DILITHIUMNISTVECTORS']._serialized_end=247 -# @@protoc_insertion_point(module_scope) diff --git a/crypto_condor/vectors/_dilithium/dilithium_pb2.pyi b/crypto_condor/vectors/_dilithium/dilithium_pb2.pyi deleted file mode 100644 index 824410b..0000000 --- a/crypto_condor/vectors/_dilithium/dilithium_pb2.pyi +++ /dev/null @@ -1,34 +0,0 @@ -from google.protobuf.internal import containers as _containers -from google.protobuf import descriptor as _descriptor -from google.protobuf import message as _message -from typing import ClassVar as _ClassVar, Iterable as _Iterable, Mapping as _Mapping, Optional as _Optional, Union as _Union - -DESCRIPTOR: _descriptor.FileDescriptor - -class DilithiumNistTest(_message.Message): - __slots__ = ("count", "seed", "mlen", "msg", "pk", "sk", "smlen", "sm") - COUNT_FIELD_NUMBER: _ClassVar[int] - SEED_FIELD_NUMBER: _ClassVar[int] - MLEN_FIELD_NUMBER: _ClassVar[int] - MSG_FIELD_NUMBER: _ClassVar[int] - PK_FIELD_NUMBER: _ClassVar[int] - SK_FIELD_NUMBER: _ClassVar[int] - SMLEN_FIELD_NUMBER: _ClassVar[int] - SM_FIELD_NUMBER: _ClassVar[int] - count: int - seed: bytes - mlen: int - msg: bytes - pk: bytes - sk: bytes - smlen: int - sm: bytes - def __init__(self, count: _Optional[int] = ..., seed: _Optional[bytes] = ..., mlen: _Optional[int] = ..., msg: _Optional[bytes] = ..., pk: _Optional[bytes] = ..., sk: _Optional[bytes] = ..., smlen: _Optional[int] = ..., sm: _Optional[bytes] = ...) -> None: ... - -class DilithiumNistVectors(_message.Message): - __slots__ = ("name", "tests") - NAME_FIELD_NUMBER: _ClassVar[int] - TESTS_FIELD_NUMBER: _ClassVar[int] - name: str - tests: _containers.RepeatedCompositeFieldContainer[DilithiumNistTest] - def __init__(self, name: _Optional[str] = ..., tests: _Optional[_Iterable[_Union[DilithiumNistTest, _Mapping]]] = ...) -> None: ... diff --git a/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium2.rsp b/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium2.rsp deleted file mode 100644 index c330bde..0000000 --- a/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium2.rsp +++ /dev/null @@ -1,902 +0,0 @@ -# Dilithium2 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mlen = 33 -msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 -pk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sk = 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390D55F261A7A014CF6E4C4268202A538C13E7B7F1C0D5D700BDB676 -smlen = 2585 -sm = 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- -count = 5 -seed = 75224ECC026C18159FF92256844D0ADF953F0A4DD8D74D4EBF1DC5EE8F5630B011A447FD4DC34A2404D620CA0E1F273E -mlen = 198 -msg = DBE5B6C299B44F8D60FA972A336DF789EF4534EC9BA90DF92AD401D1907951EB6285EDA8F134277AB0A1145001C34E392187122506AA2DBB8617D7943A129EB5C07DF133D7CCDE94A7CB7F1795C62493ED375353D1F044257DA799F7D112C174FBC35687E2F87FEFBE2D83D29D7314B30A749FE41B1B81095638F112BC4563420AF235280E466FFBE7050C4937C60FC18D1A6025BCBD489F0C538E088E906ABE8597E2C8EBB64F01D225C847AAE4B77BAE6EBA9269962C4B94A9732CEAA2CB4093D442FFBCDD -pk = 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-sk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-smlen = 2618 -sm = 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-smlen = 2717 -sm = 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-smlen = 2750 -sm = 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3B0BD2E4EF765067E15EE962475FC72DC6D1A4919EBE31340418CF5B -smlen = 2882 -sm = 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- -count = 14 -seed = 0A98A2BD2B9FF42CFC18D3396BAD052E1D0F3372854DA69A318B142F7A1AAC609C3861263BD8FB0549DA7266784DB8B4 -mlen = 495 -msg = 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-smlen = 2948 -sm = 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-pk = 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-smlen = 3080 -sm = 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- -count = 20 -seed = A32E6FF879EC8866A5F5E4F6318DA8FE6743812ED2CF5FB94F5C3AA3EDF953CBC32665810B71B2CFEBF343A571CBC570 -mlen = 693 -msg = 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-pk = 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-pk = 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-smlen = 4334 -sm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- -count = 58 -seed = D9281003AC5F7673E0E9A7BC29C4ED75E6B0F228DF49D11A2599BFF2DA9E887163BB26DBA4F071FBCE02891540EC6F1C -mlen = 1947 -msg = 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6486C59D8902A88DA20405B13232E45887BE3AFB90E40FA51CA963F9 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BD4A1FAAA2A60CA1CF891360EE5573FE84BB35A1593EB2136144CCDA 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- diff --git a/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium3.rsp b/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium3.rsp deleted file mode 100644 index 112db9f..0000000 --- a/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium3.rsp +++ /dev/null @@ -1,902 +0,0 @@ -# Dilithium3 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mlen = 33 -msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 -pk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sk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-smlen = 3326 -sm = 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- diff --git a/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium5.rsp b/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium5.rsp deleted file mode 100644 index 3270b1e..0000000 --- a/crypto_condor/vectors/_dilithium/rsp/PQCsignKAT_Dilithium5.rsp +++ /dev/null @@ -1,902 +0,0 @@ -# Dilithium5 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mlen = 33 -msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 -pk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-smlen = 7400 -sm = 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- diff --git a/crypto_condor/vectors/_dilithium/rsp/dilithium2.rsp b/crypto_condor/vectors/_dilithium/rsp/dilithium2.rsp deleted file mode 100644 index 30b2fff..0000000 --- a/crypto_condor/vectors/_dilithium/rsp/dilithium2.rsp +++ /dev/null @@ -1,902 +0,0 @@ -# Dilithium2 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mlen = 33 -msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 -pk = 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-sk = 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-smlen = 2552 -sm = 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-smlen = 2717 -sm = 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0BDDE8D437DADDD271D9FCC389075A707C3F6D0174B0218AFC671A6D161965987170C9C2AC1C845026054BBF -smlen = 2750 -sm = 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-smlen = 2816 -sm = 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-smlen = 2948 -sm = 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-smlen = 3014 -sm = 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-pk = 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-smlen = 3047 -sm = 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-pk = 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9946BEE0A693B9A41DE08CFED8B075EF09A1A0636B31C1EF2FE9CE5A26CC46BBE300BBB48D0186C0BCF8F497 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-pk = 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875E26A6467D6E803DB524AEDAFE7088A83CDAE4FDBC662483DEFE76070A9E7035448C3A7382C8C73EFBE814 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- diff --git a/crypto_condor/vectors/_dilithium/rsp/dilithium3.rsp b/crypto_condor/vectors/_dilithium/rsp/dilithium3.rsp deleted file mode 100644 index db3cda7..0000000 --- a/crypto_condor/vectors/_dilithium/rsp/dilithium3.rsp +++ /dev/null @@ -1,902 +0,0 @@ -# Dilithium3 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mlen = 33 -msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 -pk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sk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-smlen = 3392 -sm = 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- diff --git a/crypto_condor/vectors/_dilithium/rsp/dilithium5.rsp b/crypto_condor/vectors/_dilithium/rsp/dilithium5.rsp deleted file mode 100644 index 4129e81..0000000 --- a/crypto_condor/vectors/_dilithium/rsp/dilithium5.rsp +++ /dev/null @@ -1,902 +0,0 @@ -# Dilithium5 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mlen = 33 -msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 -pk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-smlen = 7268 -sm = 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- diff --git a/crypto_condor/vectors/_kyber/kyber.proto b/crypto_condor/vectors/_kyber/kyber.proto deleted file mode 100644 index d85c9b0..0000000 --- a/crypto_condor/vectors/_kyber/kyber.proto +++ /dev/null @@ -1,22 +0,0 @@ -syntax = "proto3"; - -package crypto_condor; - -// A single Kyber test vector. -message KyberNistTest { - int32 count = 1; - - bytes seed = 2; - bytes pk = 3; - bytes sk = 4; - bytes ct = 5; - bytes ss = 6; -} - - -// A group of test vectors for a single parameter set. -message KyberNistVectors { - // The name of the parameter set, e.g. Kyber512. - string name = 1; - repeated KyberNistTest tests = 2; -} diff --git a/crypto_condor/vectors/_kyber/kyber_import.py b/crypto_condor/vectors/_kyber/kyber_import.py deleted file mode 100644 index 2fda717..0000000 --- a/crypto_condor/vectors/_kyber/kyber_import.py +++ /dev/null @@ -1,72 +0,0 @@ -"""Module to import NIST CRYSTALS-Kyber test vectors. - -.. caution:: - This module is intended for developers of this tool, as it's only used for - testing and packaging, has hard-coded filenames, and uses relative paths. -""" - -from pathlib import Path - -from crypto_condor.vectors._kyber.kyber_pb2 import KyberNistVectors - -VECTORS_DIR = Path("crypto_condor/vectors/_kyber") - - -def rsp_to_protobuf(name: str): - """Imports Kyber KAT test vectors. - - The file is parsed and serialized with - :class:`crypto_condor.vectors.nist.kyber.kyber_pb2.KyberNistVectors`. - - The files will be named Kyber{512,768,1024}[-90s].dat - - Args: - name: The name of the Kyber parameter set, e.g. Kyber512. - """ - # WARN: hard-coded path. - file = VECTORS_DIR / "rsp" / f"{name}.rsp" - - # Vectors are separated by a newline so by splitting on two newlines we get all - # blocks separately. - blocks = file.read_text().split("\n\n") - - vectors = KyberNistVectors() - - for block in blocks: - block = block.strip() - if not block or block.startswith("#"): - continue - vector = vectors.tests.add() - lines = block.split("\n") - for line in lines: - key, value = line.split(" = ") - match key: - case "count": - setattr(vector, key, int(value)) - case "seed" | "pk" | "sk" | "ct" | "ss": - setattr(vector, key, bytes.fromhex(value)) - case _: - raise ValueError(f"Unknown key {key}") - - file = VECTORS_DIR / "dat" / f"{name}.dat" - file.write_bytes(vectors.SerializeToString()) - - -if __name__ == "__main__": - dat_dir = VECTORS_DIR / "dat" - dat_dir.mkdir(exist_ok=True) - - parameter_sets = [ - "Kyber512", - "Kyber512-90s", - "Kyber768", - "Kyber768-90s", - "Kyber1024", - "Kyber1024-90s", - ] - - for param in parameter_sets: - rsp_to_protobuf(param) - - imported_marker = VECTORS_DIR / "kyber.imported" - imported_marker.touch() diff --git a/crypto_condor/vectors/_kyber/kyber_pb2.py b/crypto_condor/vectors/_kyber/kyber_pb2.py deleted file mode 100644 index 0b08ea5..0000000 --- a/crypto_condor/vectors/_kyber/kyber_pb2.py +++ /dev/null @@ -1,28 +0,0 @@ -# -*- coding: utf-8 -*- -# Generated by the protocol buffer compiler. DO NOT EDIT! -# source: kyber.proto -# Protobuf Python Version: 5.26.1 -"""Generated protocol buffer code.""" -from google.protobuf import descriptor as _descriptor -from google.protobuf import descriptor_pool as _descriptor_pool -from google.protobuf import symbol_database as _symbol_database -from google.protobuf.internal import builder as _builder -# @@protoc_insertion_point(imports) - -_sym_db = _symbol_database.Default() - - - - -DESCRIPTOR = _descriptor_pool.Default().AddSerializedFile(b'\n\x0bkyber.proto\x12\rcrypto_condor\"\\\n\rKyberNistTest\x12\r\n\x05\x63ount\x18\x01 \x01(\x05\x12\x0c\n\x04seed\x18\x02 \x01(\x0c\x12\n\n\x02pk\x18\x03 \x01(\x0c\x12\n\n\x02sk\x18\x04 \x01(\x0c\x12\n\n\x02\x63t\x18\x05 \x01(\x0c\x12\n\n\x02ss\x18\x06 \x01(\x0c\"M\n\x10KyberNistVectors\x12\x0c\n\x04name\x18\x01 \x01(\t\x12+\n\x05tests\x18\x02 \x03(\x0b\x32\x1c.crypto_condor.KyberNistTestb\x06proto3') - -_globals = globals() -_builder.BuildMessageAndEnumDescriptors(DESCRIPTOR, _globals) -_builder.BuildTopDescriptorsAndMessages(DESCRIPTOR, 'kyber_pb2', _globals) -if not _descriptor._USE_C_DESCRIPTORS: - DESCRIPTOR._loaded_options = None - _globals['_KYBERNISTTEST']._serialized_start=30 - _globals['_KYBERNISTTEST']._serialized_end=122 - _globals['_KYBERNISTVECTORS']._serialized_start=124 - _globals['_KYBERNISTVECTORS']._serialized_end=201 -# @@protoc_insertion_point(module_scope) diff --git a/crypto_condor/vectors/_kyber/kyber_pb2.pyi b/crypto_condor/vectors/_kyber/kyber_pb2.pyi deleted file mode 100644 index 61c417d..0000000 --- a/crypto_condor/vectors/_kyber/kyber_pb2.pyi +++ /dev/null @@ -1,30 +0,0 @@ -from google.protobuf.internal import containers as _containers -from google.protobuf import descriptor as _descriptor -from google.protobuf import message as _message -from typing import ClassVar as _ClassVar, Iterable as _Iterable, Mapping as _Mapping, Optional as _Optional, Union as _Union - -DESCRIPTOR: _descriptor.FileDescriptor - -class KyberNistTest(_message.Message): - __slots__ = ("count", "seed", "pk", "sk", "ct", "ss") - COUNT_FIELD_NUMBER: _ClassVar[int] - SEED_FIELD_NUMBER: _ClassVar[int] - PK_FIELD_NUMBER: _ClassVar[int] - SK_FIELD_NUMBER: _ClassVar[int] - CT_FIELD_NUMBER: _ClassVar[int] - SS_FIELD_NUMBER: _ClassVar[int] - count: int - seed: bytes - pk: bytes - sk: bytes - ct: bytes - ss: bytes - def __init__(self, count: _Optional[int] = ..., seed: _Optional[bytes] = ..., pk: _Optional[bytes] = ..., sk: _Optional[bytes] = ..., ct: _Optional[bytes] = ..., ss: _Optional[bytes] = ...) -> None: ... - -class KyberNistVectors(_message.Message): - __slots__ = ("name", "tests") - NAME_FIELD_NUMBER: _ClassVar[int] - TESTS_FIELD_NUMBER: _ClassVar[int] - name: str - tests: _containers.RepeatedCompositeFieldContainer[KyberNistTest] - def __init__(self, name: _Optional[str] = ..., tests: _Optional[_Iterable[_Union[KyberNistTest, _Mapping]]] = ...) -> None: ... diff --git a/crypto_condor/vectors/_kyber/rsp/Kyber1024-90s.rsp b/crypto_condor/vectors/_kyber/rsp/Kyber1024-90s.rsp deleted file mode 100644 index 205ccb7..0000000 --- a/crypto_condor/vectors/_kyber/rsp/Kyber1024-90s.rsp +++ /dev/null @@ -1,702 +0,0 @@ -# Kyber1024-90s - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -pk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sk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-ct = 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-ct = 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-ct = 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-ss = CA5D49DDF5145EDFAD7A1A976FBB3CA503914C071EB5F749F5C44AEFE7A82192 - -count = 67 -seed = 074AB1A37BA5A0403D8F68D26FB787BC2C90F5EF88F2A6D286C3E6B168ABD85D393D8225618608B8EEB301D26AF53BC0 -pk = 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-ss = 2E697DBA14B141941BAB2F3FD72A35D1ECC756FC1B1003E6A1733813A68A847C - diff --git a/crypto_condor/vectors/_kyber/rsp/Kyber1024.rsp b/crypto_condor/vectors/_kyber/rsp/Kyber1024.rsp deleted file mode 100644 index 151c92c..0000000 --- a/crypto_condor/vectors/_kyber/rsp/Kyber1024.rsp +++ /dev/null @@ -1,702 +0,0 @@ -# Kyber1024 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -pk = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct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ss = D24FB4E358A5176AE303C88B9BAFEC3EEE2D20723D42A4E487A1B75F8ABC1D43 - diff --git a/crypto_condor/vectors/_kyber/rsp/Kyber512-90s.rsp b/crypto_condor/vectors/_kyber/rsp/Kyber512-90s.rsp deleted file mode 100644 index d8ef33d..0000000 --- a/crypto_condor/vectors/_kyber/rsp/Kyber512-90s.rsp +++ /dev/null @@ -1,702 +0,0 @@ -# Kyber512-90s - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -pk = 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-sk = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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ss = 748EBD4B4D05B3E2415C80D65EE1FE3592848B418631DF440B74AC88E2BB6197 - -count = 99 -seed = 2A6F7386B815366F572AEB6C79E272CC21B7095FE09575F18072C9D677DA23BC9C8A4BC393B7524604D299BEDD260C8B -pk = 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-sk = 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-ct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ss = C32F70793B879DF51FE246D1A4307985D96FDCF9E6FE410A570BB981B9276F32 - diff --git a/crypto_condor/vectors/_kyber/rsp/Kyber512.rsp b/crypto_condor/vectors/_kyber/rsp/Kyber512.rsp deleted file mode 100644 index d3a3b09..0000000 --- a/crypto_condor/vectors/_kyber/rsp/Kyber512.rsp +++ /dev/null @@ -1,702 +0,0 @@ -# Kyber512 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -pk = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct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ss = 13FB6A49481D54CF39C2B0303561B262A605B0310D939E6A531F62DB01118D06 - -count = 31 -seed = AD540A9CE816D6FB1661E5483C44F6FDD00C9E7BD1A8CEDA4B4C4D3697D4F78ED0A56954996CCB7DA96ECB8F5CB15809 -pk = 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-ct = 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-ct = 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-ct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ss = ABDE3E45F9CE3C4E18F9E224D77F24CB1661B4AA4850F517B402BB4EDC8E50E8 - -count = 39 -seed = CF520B92A2E3677AFD003EC1EC6EF136A709D78F828C9C0DD4946EFBD451C5FAABFC83CA66F9D3D17EE4220553B7A69F -pk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-ct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-ct = 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-ct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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ss = ED4DBB163E97EF686BA77B2BD2C0A872405DBAAADF0D33D0F125D9E35FB0FC59 - -count = 61 -seed = C799D57B41F28C5C446DFC58A5AC6499C4BCF3C162AFD2B09A16549826EC2A6F689E44BAFC4ACC82F5D6AEC23F4A3993 -pk = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 574635B41959D57372E6FEA9111F6049FBB50222D5145F7948AFE0E3EF9DA90E3B840F750C7F30A71C7B7F2486FB077A00A1CD8ABB76E671D6CF81E0D9D4013797B2E47845CB53BE5C5C463D153D9E1DE67BF4565BEC71EC801D7B2C0677D329BC350451DD0BC557D7B1295028F28EE1FF0BBA2619C290C3087C6E12DCC1BF1E13727909B7C9FBC7B90665FAEB7DC8F31230A2D18ED38373A90C358B46642B9988CBB285072E86C6039E4B87A38D00FCC5152EC09767FD7E90E9F8EBB9E88ADF7C1D513A0D5D81F93EDBC90BC75B89B2A61D2D8D1D87B850055B030C75CF04A78B70564BD8928C1D48C3F17910A24AD6BC9D576EE3632066E76EB4BD3D5E01D8317F4336EA145941BAB1197CD06692B513AFC0CC46A30499AA33374EF6210423687DB64D3EF2999D500D685E7FC43D4D2BCED8974FB8C591AD22AE69928C2FEB8323D92874403F556FAD9AC1237A7587121B994416991B14A66AB98B525B6EF88979CC622603DE440A7483915F944D1F2647015D1C9F1E59BC570163243AEFEE7EDB5911D608E3EE6D3937BCC1A965AFC5EEA33940ABD3785DAC52283F591F998CECFA3E77A71CA656539B1BF72EF4E71880E65F8B1F864F05F6FCECB833DE2F9C31BA0241560E2525D8742A5BA061C3B1AE5831F152FA8332948EE5C94DB912ECE572612C54E161942078B89EA0B52A482CFB7F7F6D9E05F34BCEC46E1D4465C9CEB6DDEBBEEF90719702318AB9D4E7577663930AEC3132D739F9A6A5E36922B2FCAD65DD0691626A1FD77ACB5052B123A11585A162CB6175597640B82B937A16BB87CF0471B6FD8B84E97FF9C781C94EA41B7C070EEE016F0EDEF0EE84C519C77812B0D34DBCFC9D1CA4899EBCE6D6274159FCE7F6B3A2ABE8F46B072EFDD3B1965B4CFF53530019FC25E438FB669B7D214E6B36AA88D7B23659A736D65C7585308423F5CF547524FB9E4E3397430582DC2D0B008E66A6C4E7E8B526065322BB6E61CEED7DBD9755C0D3B589CF4FD573242E6B0D454DF9482AFB14775D7C436B39FAD83BD2CA5676D0ED0913116BD7C874E1D17AE9B126D4B20B08E2A0DEB5 -ss = BF5106B2FA08DD74A6069B58A6E52AA724179225630D2E368A05DB3888567730 - -count = 99 -seed = 2A6F7386B815366F572AEB6C79E272CC21B7095FE09575F18072C9D677DA23BC9C8A4BC393B7524604D299BEDD260C8B -pk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sk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ct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ss = D181D65623E3A59950E40AA86A1452CDE8BF98F409D0F8CECDAAECBCCC864A35 - diff --git a/crypto_condor/vectors/_kyber/rsp/Kyber768-90s.rsp b/crypto_condor/vectors/_kyber/rsp/Kyber768-90s.rsp deleted file mode 100644 index 516652c..0000000 --- a/crypto_condor/vectors/_kyber/rsp/Kyber768-90s.rsp +++ /dev/null @@ -1,702 +0,0 @@ -# Kyber768-90s - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -pk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sk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ct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ss = 44F694E478EBAC4A556A38A25C959B62ACC72E17CF04B4D47E54B0B7FEACEB56 - -count = 1 -seed = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC81ADDE6AEEB4A5A875C3BFCADFA958F -pk = 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-ct = 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-ct = 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-ct = 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-ss = A6BAF39BD949D99EEBB24B905CCBC6C9C02A49762F8AD270301043AF32C48C7F - -count = 27 -seed = 54770EA1252EA2857D6635151194F5F520ADEA8A41E409FF498D40C271359858FE2B084D5B96BEE087B8E8F4DD4E00C5 -pk = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ss = 274D2A0BB0793C47B49199C69C17BE8698DBE4BFD923C6CE84804CBD2A48F83D - -count = 81 -seed = E3C41CCA6F04CFE7732FD54DE30CC5CAAC93E2F80E76AED7D24A962A3969C1B6A311459A3EC3E510E3E9B1E4291D4D7D -pk = 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-ct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ss = 140D354EC0CDD15DFE704C7818020C1F726E2E5FE9B772023A4CDA8285424EF2 - diff --git a/crypto_condor/vectors/_kyber/rsp/Kyber768.rsp b/crypto_condor/vectors/_kyber/rsp/Kyber768.rsp deleted file mode 100644 index 40af004..0000000 --- a/crypto_condor/vectors/_kyber/rsp/Kyber768.rsp +++ /dev/null @@ -1,702 +0,0 @@ -# Kyber768 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -pk = 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-ct = 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-ct = 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-ct = 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-ss = 70080E3BAAB3FA55E8A308E84FE9ABAE780BE8C09E211651F6EBF6053F8F264E - -count = 22 -seed = E335DF8FC0D890588C3E305AC92C7160FF199E07C85760A828933750E3FED8C83B0DBE802234481ECF890A32D7A2884F -pk = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct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ss = 5012217B85A1E5DBA62A2476D7A441411D8ECDDBE2D3A291F658B7DC1D1197E9 - -count = 66 -seed = A3E2E511AFA7BB560446BDADF67D2EE2E16FFC7BAEAE7EFB8C5455068BBD4E91BF9BE9D98B280072FABA7712C75B26D4 -pk = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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-ct = 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sk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ct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ss = 4793F705AED572ACE61DB13BEDE3900F2538EADDB904988C1F015BAC605A1093 - diff --git a/crypto_condor/vectors/_mldsa/mldsa.json b/crypto_condor/vectors/_mldsa/mldsa.json new file mode 100644 index 0000000..5271083 --- /dev/null +++ b/crypto_condor/vectors/_mldsa/mldsa.json @@ -0,0 +1,5 @@ +{ + "ML-DSA-44": ["nistkat-ML-DSA-44.pb2"], + "ML-DSA-65": ["nistkat-ML-DSA-65.pb2"], + "ML-DSA-87": ["nistkat-ML-DSA-87.pb2"] +} diff --git a/crypto_condor/vectors/_mldsa/mldsa.proto b/crypto_condor/vectors/_mldsa/mldsa.proto new file mode 100644 index 0000000..2f4cfe5 --- /dev/null +++ b/crypto_condor/vectors/_mldsa/mldsa.proto @@ -0,0 +1,44 @@ +syntax = "proto3"; + +package crypto_condor; + +message MldsaTest{ + // The test ID, unique in its set of vectors. + int32 id = 1; + // The type of test. One of: valid, invalid, acceptable. + string type = 2; + // A comment on the test. + string comment = 3; + // Flags that categorize this test. + repeated string flags = 4; + + // The message to sign. + bytes msg = 5; + // The public key. + bytes pk = 6; + // The secret key. + bytes sk = 7; + // The signature. + bytes sig = 8; + // The context string. + bytes ctx = 9; +} + +// A set of ML-DSA test vectors. +message MldsaVectors{ + // The source of the test vectors. + string source = 1; + // Description of the source. + string source_desc = 2; + // The URL of the source. + string source_url = 3; + // Whether these are compliance test vectors or not. + bool compliance = 4; + // A dictionary of test flags and their description. + map notes = 5; + + // The ML-DSA parameter set. + string paramset = 6; + // The test vectors. + repeated MldsaTest tests = 7; +} diff --git a/crypto_condor/vectors/_mldsa/mldsa_import.py b/crypto_condor/vectors/_mldsa/mldsa_import.py new file mode 100644 index 0000000..83c571f --- /dev/null +++ b/crypto_condor/vectors/_mldsa/mldsa_import.py @@ -0,0 +1,92 @@ +"""Module to import ML-DSA test vectors. + +.. caution:: + This module is intended for developers of this tool, as it's only used for + testing and packaging, has hard-coded filenames, and uses relative paths. +""" + +from pathlib import Path + +from crypto_condor.vectors._mldsa.mldsa_pb2 import MldsaVectors + +VECTORS_DIR = Path("crypto_condor/vectors/_mldsa") + +SIG_SIZE = {"ML-DSA-44": 2420, "ML-DSA-65": 3309, "ML-DSA-87": 4627} + + +def parse_nistkat(in_filename: str): + """Parses vectors generated using NIST KAT generator.""" + # WARN: hard-coded path + file = VECTORS_DIR / "nistkat" / in_filename + + blocks = file.read_text().split("\n\n") + + vectors = MldsaVectors() + vectors.source = "NIST KAT" + vectors.source_desc = ( + "Vectors generated with the reference implementation" + " and the generator provided by NIST" + ) + vectors.source_url = ( + "https://github.com/pq-crystals/dilithium/tree/master/ref/nistkat" + ) + vectors.compliance = True + match in_filename: + case "PQCsignKAT_Dilithium2.rsp": + vectors.paramset = "ML-DSA-44" + case "PQCsignKAT_Dilithium3.rsp": + vectors.paramset = "ML-DSA-65" + case "PQCsignKAT_Dilithium5.rsp": + vectors.paramset = "ML-DSA-87" + case _: + raise ValueError(f"Unsupported file {in_filename}") + sig_size = SIG_SIZE[vectors.paramset] + + for block in blocks: + block = block.strip() + if not block or block.startswith("#"): + continue + + test = vectors.tests.add() + test.type = "valid" + + lines = block.split("\n") + for line in lines: + key, value = line.split(" = ") + match key: + case "count": + test.id = int(value) + 1 + case "msg" | "pk" | "sk": + setattr(test, key, bytes.fromhex(value)) + case "sm": + _sm = bytes.fromhex(value) + sig = _sm[:sig_size] + test.sig = sig + case "seed": + # We don't store the seed. + pass + case "mlen" | "smlen": + # We don't store the size of msg or sm, just compute it from + # the actual value when needed. + pass + case _: + raise ValueError(f"Unknown key {key}") + + file = VECTORS_DIR / "pb2" / f"nistkat-{vectors.paramset}.pb2" + file.write_bytes(vectors.SerializeToString()) + + +if __name__ == "__main__": + pb2_dir = VECTORS_DIR / "pb2" + pb2_dir.mkdir(exist_ok=True) + + nistkat_files = [ + "PQCsignKAT_Dilithium2.rsp", + "PQCsignKAT_Dilithium3.rsp", + "PQCsignKAT_Dilithium5.rsp", + ] + for filename in nistkat_files: + parse_nistkat(filename) + + imported_marker = VECTORS_DIR / "mldsa.imported" + imported_marker.touch() diff --git a/crypto_condor/vectors/_mldsa/mldsa_pb2.py b/crypto_condor/vectors/_mldsa/mldsa_pb2.py new file mode 100644 index 0000000..4cfb6d9 --- /dev/null +++ b/crypto_condor/vectors/_mldsa/mldsa_pb2.py @@ -0,0 +1,42 @@ +# -*- coding: utf-8 -*- +# Generated by the protocol buffer compiler. DO NOT EDIT! +# NO CHECKED-IN PROTOBUF GENCODE +# source: _mldsa/mldsa.proto +# Protobuf Python Version: 5.28.3 +"""Generated protocol buffer code.""" +from google.protobuf import descriptor as _descriptor +from google.protobuf import descriptor_pool as _descriptor_pool +from google.protobuf import runtime_version as _runtime_version +from google.protobuf import symbol_database as _symbol_database +from google.protobuf.internal import builder as _builder +_runtime_version.ValidateProtobufRuntimeVersion( + _runtime_version.Domain.PUBLIC, + 5, + 28, + 3, + '', + '_mldsa/mldsa.proto' +) +# @@protoc_insertion_point(imports) + +_sym_db = _symbol_database.Default() + + + + +DESCRIPTOR = _descriptor_pool.Default().AddSerializedFile(b'\n\x12_mldsa/mldsa.proto\x12\rcrypto_condor\"\x84\x01\n\tMldsaTest\x12\n\n\x02id\x18\x01 \x01(\x05\x12\x0c\n\x04type\x18\x02 \x01(\t\x12\x0f\n\x07\x63omment\x18\x03 \x01(\t\x12\r\n\x05\x66lags\x18\x04 \x03(\t\x12\x0b\n\x03msg\x18\x05 \x01(\x0c\x12\n\n\x02pk\x18\x06 \x01(\x0c\x12\n\n\x02sk\x18\x07 \x01(\x0c\x12\x0b\n\x03sig\x18\x08 \x01(\x0c\x12\x0b\n\x03\x63tx\x18\t \x01(\x0c\"\xfb\x01\n\x0cMldsaVectors\x12\x0e\n\x06source\x18\x01 \x01(\t\x12\x13\n\x0bsource_desc\x18\x02 \x01(\t\x12\x12\n\nsource_url\x18\x03 \x01(\t\x12\x12\n\ncompliance\x18\x04 \x01(\x08\x12\x35\n\x05notes\x18\x05 \x03(\x0b\x32&.crypto_condor.MldsaVectors.NotesEntry\x12\x10\n\x08paramset\x18\x06 \x01(\t\x12\'\n\x05tests\x18\x07 \x03(\x0b\x32\x18.crypto_condor.MldsaTest\x1a,\n\nNotesEntry\x12\x0b\n\x03key\x18\x01 \x01(\t\x12\r\n\x05value\x18\x02 \x01(\t:\x02\x38\x01\x62\x06proto3') + +_globals = globals() +_builder.BuildMessageAndEnumDescriptors(DESCRIPTOR, _globals) +_builder.BuildTopDescriptorsAndMessages(DESCRIPTOR, '_mldsa.mldsa_pb2', _globals) +if not _descriptor._USE_C_DESCRIPTORS: + DESCRIPTOR._loaded_options = None + _globals['_MLDSAVECTORS_NOTESENTRY']._loaded_options = None + _globals['_MLDSAVECTORS_NOTESENTRY']._serialized_options = b'8\001' + _globals['_MLDSATEST']._serialized_start=38 + _globals['_MLDSATEST']._serialized_end=170 + _globals['_MLDSAVECTORS']._serialized_start=173 + _globals['_MLDSAVECTORS']._serialized_end=424 + _globals['_MLDSAVECTORS_NOTESENTRY']._serialized_start=380 + _globals['_MLDSAVECTORS_NOTESENTRY']._serialized_end=424 +# @@protoc_insertion_point(module_scope) diff --git a/crypto_condor/vectors/_mldsa/mldsa_pb2.pyi b/crypto_condor/vectors/_mldsa/mldsa_pb2.pyi new file mode 100644 index 0000000..2dbb72e --- /dev/null +++ b/crypto_condor/vectors/_mldsa/mldsa_pb2.pyi @@ -0,0 +1,125 @@ +""" +@generated by mypy-protobuf. Do not edit manually! +isort:skip_file +""" + +import builtins +import collections.abc +import google.protobuf.descriptor +import google.protobuf.internal.containers +import google.protobuf.message +import typing + +DESCRIPTOR: google.protobuf.descriptor.FileDescriptor + +@typing.final +class MldsaTest(google.protobuf.message.Message): + DESCRIPTOR: google.protobuf.descriptor.Descriptor + + ID_FIELD_NUMBER: builtins.int + TYPE_FIELD_NUMBER: builtins.int + COMMENT_FIELD_NUMBER: builtins.int + FLAGS_FIELD_NUMBER: builtins.int + MSG_FIELD_NUMBER: builtins.int + PK_FIELD_NUMBER: builtins.int + SK_FIELD_NUMBER: builtins.int + SIG_FIELD_NUMBER: builtins.int + CTX_FIELD_NUMBER: builtins.int + id: builtins.int + """The test ID, unique in its set of vectors.""" + type: builtins.str + """The type of test. One of: valid, invalid, acceptable.""" + comment: builtins.str + """A comment on the test.""" + msg: builtins.bytes + """The message to sign.""" + pk: builtins.bytes + """The public key.""" + sk: builtins.bytes + """The secret key.""" + sig: builtins.bytes + """The signature.""" + ctx: builtins.bytes + """The context string.""" + @property + def flags(self) -> google.protobuf.internal.containers.RepeatedScalarFieldContainer[builtins.str]: + """Flags that categorize this test.""" + + def __init__( + self, + *, + id: builtins.int = ..., + type: builtins.str = ..., + comment: builtins.str = ..., + flags: collections.abc.Iterable[builtins.str] | None = ..., + msg: builtins.bytes = ..., + pk: builtins.bytes = ..., + sk: builtins.bytes = ..., + sig: builtins.bytes = ..., + ctx: builtins.bytes = ..., + ) -> None: ... + def ClearField(self, field_name: typing.Literal["comment", b"comment", "ctx", b"ctx", "flags", b"flags", "id", b"id", "msg", b"msg", "pk", b"pk", "sig", b"sig", "sk", b"sk", "type", b"type"]) -> None: ... + +global___MldsaTest = MldsaTest + +@typing.final +class MldsaVectors(google.protobuf.message.Message): + """A set of ML-DSA test vectors.""" + + DESCRIPTOR: google.protobuf.descriptor.Descriptor + + @typing.final + class NotesEntry(google.protobuf.message.Message): + DESCRIPTOR: google.protobuf.descriptor.Descriptor + + KEY_FIELD_NUMBER: builtins.int + VALUE_FIELD_NUMBER: builtins.int + key: builtins.str + value: builtins.str + def __init__( + self, + *, + key: builtins.str = ..., + value: builtins.str = ..., + ) -> None: ... + def ClearField(self, field_name: typing.Literal["key", b"key", "value", b"value"]) -> None: ... + + SOURCE_FIELD_NUMBER: builtins.int + SOURCE_DESC_FIELD_NUMBER: builtins.int + SOURCE_URL_FIELD_NUMBER: builtins.int + COMPLIANCE_FIELD_NUMBER: builtins.int + NOTES_FIELD_NUMBER: builtins.int + PARAMSET_FIELD_NUMBER: builtins.int + TESTS_FIELD_NUMBER: builtins.int + source: builtins.str + """The source of the test vectors.""" + source_desc: builtins.str + """Description of the source.""" + source_url: builtins.str + """The URL of the source.""" + compliance: builtins.bool + """Whether these are compliance test vectors or not.""" + paramset: builtins.str + """The ML-DSA parameter set.""" + @property + def notes(self) -> google.protobuf.internal.containers.ScalarMap[builtins.str, builtins.str]: + """A dictionary of test flags and their description.""" + + @property + def tests(self) -> google.protobuf.internal.containers.RepeatedCompositeFieldContainer[global___MldsaTest]: + """The test vectors.""" + + def __init__( + self, + *, + source: builtins.str = ..., + source_desc: builtins.str = ..., + source_url: builtins.str = ..., + compliance: builtins.bool = ..., + notes: collections.abc.Mapping[builtins.str, builtins.str] | None = ..., + paramset: builtins.str = ..., + tests: collections.abc.Iterable[global___MldsaTest] | None = ..., + ) -> None: ... + def ClearField(self, field_name: typing.Literal["compliance", b"compliance", "notes", b"notes", "paramset", b"paramset", "source", b"source", "source_desc", b"source_desc", "source_url", b"source_url", "tests", b"tests"]) -> None: ... + +global___MldsaVectors = MldsaVectors diff --git a/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium2.rsp b/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium2.rsp new file mode 100644 index 0000000..58d229c --- /dev/null +++ b/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium2.rsp @@ -0,0 +1,902 @@ +# Dilithium2 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +mlen = 33 +msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 +pk = DC7BC9A2E0B6DC66823AE4FBDE971C0CFC46F9D96BBFBEEBB3470AE0A5A0139FDD6A6CE5BC76E94FAA9E9250ABD4CEE02CF1EE46A8E99CE12D7395781FA7519021273DA3365519724EFBE279ADD6C35F92C9D42B032832F1BF29EBBECD3EC87A3AF3DA33C611F7F35FA35ACAB174024F118979E23BF2FE069269A2EC45FBC1B9C1FB0E1F05486A6A833EB48ADC2960641D9AF6EB8B7381B1EC55D889F26B084DDFA1C9ED9B962D342694CEDE83825309D9DB6BD6BA7582132534861E44A04388A694242411761D34E7C085D282B723C65948A2AC764D9702BD8ED7FE9931D7D8704A39E6508844F3F84843C305594FE6E5404E08F18ED039AC6563CBAA34B0CA38320299D6256EC0F78D421F088159D49DC439CBC539A55884A3EB4EFC9CF190B42F713441CB97004245D41437A39B7B77FC602FBBFD619A42363714B265173CAE68FD8A1B3CA2BD30AE60C53E5604577A4A3B1F1506E697C37432DBD883553AAC8D382A3D250CF5B29E4D1BE2CBCD531FF0E07E89C1F7DBC8D4529AEEBE55B5CE4D0214BFDEC69E080BD3EF36CCA6A54933F1EF2F37867C0D38FD5865B87929115808C7E2595458E993BACC6C5A3B9F5025001E9B41447708BFBAA0462EFA63876C42F769908B432F5485508A393224960551D77EADFAF4411CBC49FDFF46F2F155DDD6EC30867905B709888CA0F30F935FB8D7F4803CFC7A5F7790CA181D99CA21F2621D69A5C6D49C76B4969DA62740A378470332B30947AB31CCDB9BA0C7B625879EEC4BD81F0200BA23504A7DC3B118BC2AB1145DF13AF3C8CC39F577873B84911B3D85FBBF4CB19E4D36B10A938EEB78B599DC86615FD6CEC6EB7B8F7AFA5F6D6BE19EA81630D36CCFB2F487DE50D0CF46DA8D3FE3512812043C0E3EF2D7231FB0B0A35A0FB283BE30A1247780F30AE0294E8B6F5897383EDB895595F577524DF54593CDF927B4967616EE3913E4D6B29B0DBD7C33A2A45E4EF1B1954EA5D91CE37EFC1302E7CE02A97395565DA2A5C5D3FDB0D87684E9B1C0AD07EC33DF2DFAD528E2EA0966D2A47DD5EE88E77D653C0D004FAB0165F0757C4DA40AF327E7192536C79947A80A827AA2107DACFAE3DEBFC8FAD3D6E08076D938C510A276BDF6721A1F087CB169515028AD5CE27A1047ABD92809934CA63B893F71F9A34A99C0FD30310C47E9AA37394D0AB73B254D3CA69D9C5549C9479AAE24264AC5EA64D3FD821C3962EC77E709F9D30BC7B65A52E48C16E80603558CACA1811411C3155D1F949FC9CF9AA9385A7199E99BE77A66FAD7EED91258DE55B2C4C83F9A050ADEBEA5F09758F40DAC4A1C394EE8D687879150D26426895AB1938E14AE11B376254C91FC6130436996F8ED43BD27BE20EC9067111C116EC94CC2B06CC91A13C5D10BBD7EECEA4792F17B2B77631EF145E9FB41A83EAA11C2B72A48FB90FDBD88644C4EDF8AB20DCE3118364B276AC1237B36C8926E346AAB5A111AA0BF341C518B7BFF9E9DBB8BCB4728601B3760663E67650331E6FB54AC82FC414CB8DDFC160A25311EC5272DE46217FEF8B992FF89754FBEE351F21BB90B6C97078B510C983350681266C8FED1F0583C5151E7B8FE3B7292319699687CC6B641FDBD689428543BC0FA1FACC109DE65B62784C2D985AB15D77D3AF12AF6D03E8D1859A553688584D75EF673A1DE74093EE108C761FFF32C217C231B0E2953DAF521429264C0963BC8A5CDEDDC617A7285B934EA51DDB5CDAB23BCEDE86BE36E001BC65C65E9A1C94BAFF4FAB8EB5F8ED42EC377423633FE00049142467C47C5D58A7202C8E9104841C1F7F380145A6A0A828C570235E507AE5868A6062F722BB98FF6BE +sk = 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+ +count = 2 +seed = BFF58FDA9DB4C2D8BD02E4647868D4A2FA12500A65CA4C9F918B505707FA775951018D9149C97D443EA16B07DD68435B +mlen = 99 +msg = 2B8C4B0F29363EAEE469A7E33524538AA066AE98980EAA19D1F10593203DA2143B9E9E1973F7FF0E6C6AAA3C0B900E50D003412EFE96DEECE3046D8C46BC7709228789775ABDF56AED6416C90033780CB7A4984815DA1B14660DCF34AA34BF82CEBBCF +pk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+sk = 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+ +count = 21 +seed = 5A64401EF8E63AEE18E8CC0162845DC7AF388230E86728ECB330007F2546F949764273EA05B397FE71F567E1527FA445 +mlen = 726 +msg = 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+sk = 95BF459A9570063B277603CC1C0671B10B88BA6B34967256D12DFF95EB437DF5C7330F15D0CD44D899560EC89350ADA8170D015F526ED1842EABB91074FD882F2E24FDDE596CCEA4D0AF6FF0EF89B258DF5150B682A8FC7F46CFFE34B841DD29E06A0CCCC86B9EB52E35EE8DDB2FBB93E9A3EA95F0EFC8A90997C546D0B335FE121870880250E1C224102932644809C042841946524BC27104300A091351010060A4188A1344528BA851A300122132211C456489428C90B684211188233611C8202A420081D4222DD8B63092C28061862D0BB10D9AA8456134480312718A92081B234014A545DC302950260C24B06021174011898C0C8524591211638651584631D2488614B688C032614A148C94364613008501A80DD1126462286C82B284049364C9422E13212A19136924423184B28162A691029121DC4610E0B22100854504382982484E082306041629119545DB94291A874C1982880B004049288902824824462D8A205014892D03342444029192186E23B42412298A63C80C61069111B14019398DC092509BC26064803001423280486522238EA2B0410848250C090E13468102022C5032808322218CA80110A40582362D1A076483040408A47144286E90B43053160D530841198550D1A80102188ECB002C8CA891240802531240243981C290499814251449301CC18C8838841016859BA86483C6855B902912979050A44C11C24DDCA06951A48D64B64C244300DA4009884829C8B244113182898600490861A0942182B044533672E32226D2B8299A408D018621613089038565C3A86C5BB82D488871E38481110824D924625112869046845C486958A8810A378C02B541983248D414881AA425DA464E02162A8B466D1A946C00264A1BC0891BC7254B806818846560A2056414301BC4218106509C388619334E839029E2400C4CC4402442481B400A11934824834903402E50360498962541442D19994448C82853168824482C20A46460B26402280C04308000C0245A268A98404C62186C8290658CB8694C806C5900800222122445305B808D21875198141123100611C231448228643292C992000A854424104411B0604000459CA2090B49419CA8000117922283091BC705129491A0384E1310811B9200104930A0308A9C3041C83026E1C26D9CB06019954C2242200C980159284118B708C81888DA382883264A44302454160A9C884552A89122960024B0401B179014070E02A851240528A2386C0C458C2BA09A26AFADE7D8800BC19C5CAFF67E40820392A6FFC0667E4FB45699AB9DEB31D99D4AED50425CFAF4C5E3A26D148EE6E8276A0E3EC059088DD19968A7DE26C6A42BD11D6E7B9DE259AA86CED531AEE3B8945E261B63DB8E0B9ADFC62A4430A88B989CBB38C9484BF6F9EB8CAEC2FF99AE1659E9252C2D1BEE1D4311BCB4CF037A221A814BEFD3A44F2849726AD5C22B775BAD3CCCAAA0927969B54E26430E8A79333F161159939B2B0E320B3E9D77FE1024E10B79D55AF7E1B11B9D2D0B5542FCF467D17C1AD6856289D835F36B5AD43C6F4B20D14E43BF9CF509CB743674A386A4592C2DF297018DA85EB93C5E334A7FD9A12F1F7C7E9B3C1025425DA1B3AD1D5D14EBD1FAF6F74BD2C5A5936323499752E106BD2C717B58B3FB870FD5EAF2FA97724FF92D9EC9CA6D701E089E8BF22115075FCE506D1C3CDF2505711887E22591B98BA0D0024D53B0BC4A3A91B75B88C3769F70D5AF0CBB11802CFF2900DF9EDC2C27F54DFC84FF008046CA929F0AB94CA0ED6D91B3D417ABEC4DF6E6ED23FBB62566B7D4D48B0BE71327754E09308E054280C7F94FD4A8C528BC06F910D09B72317503892415F40FBA66DFBD84232805A1C3657D6F72DE75CF84B8ADC12819C4E7114995A8B12E37ECBA9397B1A6B860863EB0C6480B5190826091CA4818192E4BB366F01DEB7A7A941101215284E992A9A66D3CA75DB08E16035A189B38F47C46A5C166D7EDBC75D1294E50539BABB3D5BB7DB0D660E942627874DC4E64E16FA872BB203513821BA3CEC2254D6E142D787D7F7AC15E1B173F2471551F61ABCBCF1F0DB2431A788ED4ED580BC22C9FEF622FC6F9F3C0032942CCC6A342BA11B871DDB1157D610A07A74C3F084438CEA2DDB54DD31E2BB4FCC90985F574F0711328DAF1CC8B95CEF30A31FFBE0B9DFEB496C3F70E537AC07F7B6FCD33389E4AA1A0C54F51F87D26B86B87661026851FCDF7CA1E80C3A4785EFBD7BF75A72B6EAED73608D25B6BEA963C74C63A8DA356EE92ED9C3FA7F32817E13EA1C648033E0F71DD095DAA64480FD4F9CC071D7E563EC6E5C6FB254D0A69E5ADD50145072C08B3ECF04503DAEB6A0BA1C6717C5B0ECD03362E02E0726F333E0700D702D8678C83A354A7139DF986C20B12FB76D995D2A458D26C42E8F84374A74B0E64FA838B1B97017A7F03A74EE9494B1D0B68AEB56A20502DF95D4CD8CE9F4C816F873DB3FD58569AF899562B4D77B0CA284CB0806D1725907CCADB28019577ED0D53202ED488302BD7C43D52F1780F36B621D0228A1BF7DE07F30258997BF4F2C1B96D231EB8255F3969685AC19370E2F74FA357B7EF811483D5405698CC412627EED21E6F8B9A6613F139ED4F61FADEF7C45B48CAD7C31BAB2AD96AB6FC1F155D0867112B8F09B56CD35480DFC89A811148AD1419D896C7954125A26869AD93B774B08606F1E75103C703F778668616C817D3493328E8FE5A1C4ECB6D98268EE4B0389480073C832C5BA4138451E39B285E6798F3E57BE25CC6F9597A1A9C067ECBF83BCD4A81CCDEB3CAE6EDFB298B4E444D7402093E3094DC41AC54931A20E77F0DD60DBE9D1232C4A13F7BCA37B1B01B5049794992D4CB9D91016A4F6731B59D6CDBDA839A3F02C7ADCED9D508EC1DD71F58F4FE06E9C7C8AED6CD55800894022A75AEF5BE1FB520816F279F408FFED1E8E1EE5C362FC61E11CAAB8EDDAEC96D0BC135BD804C63B9A5CBDB0FD2635CD7AF065D5400B6D8932A4F39F8CB9684C400BF58EB26DA9008DF5D291106B80B9F1578D2295C6DEB9C7E9EB345BE46B5C858043410722BCC981547C83645F4D9FDB871F4DD292E9EADD781D73E496BE5D60ECAC740EB64C5DEB2B907304B824013AD07E9446ADAE71F6391F2EAB8BA685CDC35A4E0BCA6FE8DE4C1F7547A7CE90AE5AEC9DBAACFDD61743E34854605C991728FE11C1BF10EF88FD4BDEA86215DD2FA8EEEF7FF91C4207C8D30763CEE1BB5CD759011B5A67918B9DFBA244691FFBC55D17F7C97B5263A8F19DDD69D266B865C24B92035A5654595C707DE9383F27132BBD2D2D852DA883D7C0CA8B2EF2CE722D5546445BF07EDCA6A6EF931A604704F16938BECD46348BD31BF8F18F3E120254DDB29CEA529F70760B40A7B09DA378691E8CC8811F379A611A0548AD15D1045B48CA640D89E9E09029CE14759436DBAC7EDF1BAA5078227B3E98762F3FE5E01DFB9F49E61D02A9FD9369FB5C5723381C754AB51BEC7C010808091B136D82ED8D6EA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045E0D26261DB9C4FC626169765EFBB59F8FC59840C2A1DC101D736569B85F45F81F08E4910AEC309E78C3914E3DDFE582439EE70CC25E7BCE6BDB9B 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+pk = 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+pk = 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+sk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sk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sk = 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+smlen = 4334 +sm = 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+ +count = 58 +seed = D9281003AC5F7673E0E9A7BC29C4ED75E6B0F228DF49D11A2599BFF2DA9E887163BB26DBA4F071FBCE02891540EC6F1C +mlen = 1947 +msg = 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+pk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sk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+sk = 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4D4CB9230D1FCC49FE3E321ADE9B5FF7ACA0E1F255FBC4667F0F945AF111EA33FBDD616E1CF99E0E6F2F1EF5339F6D07BD3F20523F11087B24F2F76CD00EA7B8E8F530B46AEE712CA2F2592522D55793BC3CFFB2274FD8F4A24C5B33428553A15003332C3FA991E57C709E309DFA939305B7BF085B3E7C97223DE1A47A59A5B8BF8321F3FDBD72EE731737B45CFD736E3EE11E8D65B4324AB014262D6259F56C955F053858AC6C386DF80C155F1352F76CD961D8E9F6CF608F481771D47956036891C901A491A16ABF7F260C72F0A8E0B042881C019DC1FDB7D689A2CFB636053913352CFD468AF4E2A606307483990C4E55505E8423D7B643267C9E4AB8C1078878FAAB9B1E4758DC67C9FB22012F9C4CDD02E20591FFB69E26DF0251A9F972A27130C942DA7547B0DF80EF647A4C237B5E45D1C8B5F7437CA03D04FD9E8A8C3CD3457F23EF2427DBE373B576DADD43A4B5A6D5170E5F3257BDBCDA6F17D276B8CB22687459284AD211EF4B709EDC470FCD892237349C326B2F13D82D482C25E09C0D173CB0109593C82E79D8AFD8A3FDF37E093431C7869D423D9E8DBE1E3A214F7B2FFA852FE159AF8200DC6A96E5EFA01BF187A622888C987E3DE21DE197488A73A227434359804AA367E0C4826F3F4B1A139C8D7FCCB54764A2E3EDC5855B39E29DC5DC863C758769BC590BD49F942684205076680A325DDAB793DBD9BA6A49C0C1B370F78FE656C80026239B17FC8767D3E81696DE7548A712349E96C47FE2FDE6BA02336414BA163E1FC5118059D5EDE712A9A58FC4C276AA89285D2B9CD1EAAF61DF7A27CD711C6D69E1D8CE7721D8E3D2AF67278B3ED2ED029A0DB525F120226ADB3C7694B13BDC94CB639E1D95C661DED85AE9EF9CCDADAEE96C4049568B404411D458E7A2415EB2FC602126023CB0EA139DDA28C1C33D79A8493DB451400F62DC28BDB9FF44AC787D0467D433F4F024073B3CF768779945F1FE76CE34FCA50098DC78AEE6FEE065FB28209DE275BC1D572D2F252BE2ABA1A006183EAEE8D4D4FE210F5C27BA76B5C1B817ED22B6F05450490545189ED14AFCCAF2C904C7F5B85A68FC178F42CBA8FC8F013D06E175E44B4BE6CB2750CAA1D42087C8E82C3FC3AB4AB8502A13635231AAC29D6E009D7502FEAA8D70224937F13EAEC8FD99FE265FBBBBAE186B74C4B23BD3E3C6691746B91764162DA3DECA6E6687A9A90075764F9FF4EA4B086CF496F3B2C40B6BB810C40D5C46E306EC1DB3D6761BADCEDDC1E7025598ECE1CD27DE7C6B660CDDCA711CF39F57E9B751DA03C24731C6581C783501710A9DE85C150BE9836B7E66569416E44CAA71A5FDBF12F0FB10925F8650A9871B464A271E640D07F5C283BC0A876D4CB0BE56792AC1D9749E65E0014C527529BC734DDA2ED9ADB0695D4B845405FB2E4D2EEE9721E5EBA920CD2E936C33CBF51003B09F473984EDA2DB8AFBCF73ACF69D179622F13410173E611F2AE8AC0A059EEED23193E91690DB97E506FEB40A2D281C7089536F659967DE0410BD774BE3D8BB06F157A1CBF76A3CB74C9802A51AF48F8813A6241D5E15328DF1E0083D48AA3676271AE3A1E69CA18512D5B02C0A505B316F04C190D6C02231AFE3116E34C0065F6E40665B62768F4333E847457F2BBFC873921D6F4A53C7D8976EC40DE9B96043DEA7D51F028B24CC074C50B2CC0C4864107470949A71EF078F81B001F2DCB654E105BBFBC7D1A4986CA71F3CFDDC1B95BBDE8D88DA8451EDB7AE0DD3A51ACA977D555F75989855505F495A5DB74F22CEFF5F106E108BF65D44B7DFBE6D97C0DEFA93F140C5F785F30E2B9BF6BE567B43985270BF1B1C +sk = 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5FB6D4A4136FA0585190B0AF65A6D5D8F2DDD28AEAEAAAD8074B89636571A82F2318CAF98E8C5CD8AB07E77588495F8DBD38E4E57A48279ED0868CAD 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+sk = 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 +smlen = 5720 +sm = 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diff --git a/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium3.rsp b/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium3.rsp new file mode 100644 index 0000000..d67df9e --- /dev/null +++ b/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium3.rsp @@ -0,0 +1,902 @@ +# Dilithium3 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +mlen = 33 +msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 +pk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sk = 1483236FC9F943D98417809E95405384530ED83E151E8465D34E4638F1F8D7052AF11AB9EBFFD68056444DCFB24F4992E6707E4A4D33FF238F673CD8A248BF6604D45A155FBD534EC09BEE119B6F14BAF84BCC4D3A03FC0DB2B61B55156F138AE606CC03FF4D6090A4DC8630D3ED13DD6A524931AE7376367E4CC95BAFFD8D97230406026828414840360125756741144255428634772264841831587751357787342578833435877482354428618823051535883125455388112525024833711237111647244333331406774616666657770707851668427186855126400732348826217066327330602601401688847885162475668718571250864535386168236664584781600285443525766403387274306503880843858072450648247865254055322502021503366573867064017388126827834715540003026816356777068660688502140465422546822321061260625162131621620221755832864048588058387288206472344763484260106264004647433711748052425100620768177142123875641184304777016233640744881572435671226611877822272367658662811787816623034135155345520212065511428444637751846275447113441134168404818422261676045254163278378450512564552068205840264625622117272616384378485424333362585837208278600204050630488520152214542100045474670642144311074014048402665474835167832288623141348377636201771342454322775565213380737156322451705843242130348683135028402183773237070426480162423762426770740465032546015661022224712045680268357857201213713820752816118408522355411570452886870738860177653630410408203552124225500167332746708007880274606401843336707010570442734127168626074043448485810853148118606772546775176374454167525806401156883742113162708146061861675515720018407430220524500575527857057476405884448685745626133888070218407577252250643225653813375064553353468530550260772756767138664472651126365878171778883230831404425524140482715258552171775583617447000033003718063876104887835885621153884170226806686583323576266448575113821581113785452602585306801014663862003285835182512712143540144025325303080642343441666466406826424006222611635027171451842864725620026456327517645828125006332220214781004042460637442837853503388526866630425168671688445538246600414783242447527465864337301486512878074605141825620576040880222220834321034137350362850225847888288182277608780540466474408425664558723237773574146856815621032306366082660534153612520012343051583833344840558736113610732034865242884247367171808132736171245452276067253012538243472365332675812032376222643656770781631606627017212172434163234536588404047322723865742555485282585774227275166063364305478022711046383673075364733220621284085213742647702557800865532785418010611865084250181814743684005415406105063222037300435404375172880724351772463247335677825433206873622884245285254686468860281722236671122813433563373305224145501243683504687246207340764636833438766130163785674047512730074505803442143251750630456084268478772206361681300880675134538312230555581382001651815238350458221441758370841542830574231286063320372728401358647655157486070142558772141645065357580112115844512817481675276825504032441460421226517015101173340083722277544845004026744808466630882220575440622303370422737786644670418548374266666021523308427447073066071122185576262105862146885226361381535778007105001721660304489FE23DA51D48FF5B182E876ABD590DD2C62C67C11249DCB4946DDE62EA38B3C3F7EDF2D20F4D56B169183276AF19CA6F3CED969C4FFB5ADDBEE87C4A2A5B7C3B68B7F9B264709C57829564594CA8E4E1651165F81CD3F1259A4F3FA655DA8EA6FFF783713C08CA482AFDE8B296A40049092E6D88F695772245C4EF448A47A9999701AD5D65C9659C3451B2BE0A5DB4448DCE6645A1ABA8E4B201CA3D994FC2AE2F42E25CDFDB73F9C6868B7117BE4034C96E721D38C7F7676B1C6F17230A6654F62D67B0113EF6226F3D729579924BBF665E7EE66DEEE58C1BB8153197C3610811A7937394DE07930B5A13044E7D36A6C483556BC3C6D415DBFB31D53494C79E92D42214C0747274C2A8C5B5F9370F08EFF0D27D03193AD2834AE9283CBA51B35CFF01BD3FD125D9C24B21DA4BC610047FE4C5C422343F9F19D4674AA132DE48B4B2436E9E4CDEE81C1A6C410E14BFB438A7A3CBC7A1A75D033010B09D00B625350B8219C1F0073774B64B72C6D513AE433F6D27897E9B0A0D96B28D9B874324EAAF113EAE0B5EC1A2ACC34352D0E592ABCCC94F0DA09066B80150E7E0D0ED78178EF74399578AC69FCD3E55A0D62C972E942F3EC8ACF0CBDA3D3BBD7FEBF6B58509D9440B4CCEE78EC4FA11B7D3AEE45A2A675832C238862619BEE434EDAE1E0CEA56EA7F9875AEECAFC043F99711C0BF446AED1707A1C1A83A16A44C0A91D2D7163AF7C553192AC87EC3AEAD1DCC40DEF004DC17B73D1F765DF3B18DCB3FFEC898E67FA15B71447A161A4577E1A1F3533DBCDE013631BAD70E55C60C4B00D3F98840CD54E86F099937F856CD45D2AD1545517375EC9E2538F9C6AD3247662A699D8AFA837A6607235A80C0DBA8FAE6A0B8034275B05F99C3423E74D598D0AF535CEF8255C3136248B6DB1C9A15A617199236FF62036D5FDB3B9CEEAA63524ADB13F41FB10FAA48E5037B4CEA0C3CACDDE08F26F2C11F171B468B26D6791260EA65845B48A2E29F174C4660FF27ADA469334FE55C99C00CD0D3E687D95B91882388F739B78EFFD211059A30A9F4EDD08E812EA06E16853FE628DE2B77AA9036F9BCDBD2F533A5171D6699A9ECDB8767501F9D82D8446183FD576C71FCBA3426D97F2CE258BFC97A48386AABE3B378CA30A7AB63AEF6AE1FC3334D5FB70A4022AC7E3EDC998C8B63128B45A787329D5C1045462F7A8992A3730BD69D846759B1C92E013D2D6225F374CD3CE5FBA467F3DA5DE5393FAB4D1890A34C8061FC9696970EE3E72FC9975688CA71B698F44D2B486F0954881F83C8664582A42F6756D3AB7E35DE40D6559098EA6ED2C6D250B4187311B0951889D321DFCE9D652D404A6C63D235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+ +count = 17 +seed = 327CE565CFF6CD9A25EDD84F482FA0758B78CBC246567DAE98B818314AE28CD438E339043EB3FF16E1C2B4B104A717B8 +mlen = 594 +msg = 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+ +count = 19 +seed = 716354F7DEAE272CD26929C0932CA257AED1DD23D67260726B5213D82E61466FA99BB6A7D81DEE9D0EBE03DEEE4DBFC7 +mlen = 660 +msg = 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+smlen = 5520 +sm = 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+smlen = 5718 +sm = 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+smlen = 5751 +sm = 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+smlen = 6081 +sm = 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+smlen = 6114 +sm = 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+smlen = 6180 +sm = 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+smlen = 6213 +sm = 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+smlen = 6609 +sm = 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+ diff --git a/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium5.rsp b/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium5.rsp new file mode 100644 index 0000000..ad9a3bf --- /dev/null +++ b/crypto_condor/vectors/_mldsa/nistkat/PQCsignKAT_Dilithium5.rsp @@ -0,0 +1,902 @@ +# Dilithium5 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +mlen = 33 +msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 +pk = 903EFBF16CD1F779825106F76DE12DF49CA4371B57117480702A1D94DD9C2042BDDA05359144230762A55D09AAF6961245E21B0D413DC2F39CF995327C6A1D52607BD9C3ADDF70D056361D8EB86C4B60FB7E0DE5638E4255454CD32EB48653F6A9047247233284953DA6D5F65AF1B59421673F6F9E89B58D483C6A9D3FC4EAC36CC3E489CA243F17DBCF0686B8B4DCC4A37078B7A8B28218777C5C223ABA3123EAACD83CE2ED91ADA7EE0EFA23179F4457903417EDA5350C4F4BD856DE0BC419C91B76E7DE9074C8EB4434D6055D80AC55BA276427FE3C844EC42BBD37EBC6CB142C6C1755F02F7F0C94631C987EC447060898B578144950E77CC51D9797DF07025C8393ECB565C32EADD3179C696CB6AB5DE99B8FCB623E8C59D836AE3D4E879CFF4C4849880F0FBB293E7E637D3897D47CAA894656D58434244593D72A9781FF045A405F9C8886D1C2B828467A9BC28C4E29AECE6536ABF539B02AB03C876D899376CCDDA5C1ABC4D3B2AAF3C5B3C7AD1956FCDB37F691E3E3DBB43EA967E733EC9E2D06D5A0E9FD67AF3020CBAE5FCD7490E44F5E2646245FB1B92C93BFD6945093246D490A1A0FCDDD6D46BC4FA11137AA673D562488FA72CFB7FD210D3B3F04794415826861E87C50FD9B297F0EBE32153B959D2BA684AA978827BEBF6B825C8C283388DE6237BA4B51A0D47F01C57951809B9592C935C9ACD64F45D08D5207BA365CA2AF7908C7791A4ECB8C20EFDED66EA6408602935424797912E1363CB725C42DEEC98730FA99F17AF4DBAA825159164878F5B97FFB8959160EF304E5E1A10D7F8671454B81081D7E24A75922EAAC49DD67C0CAAC7E24D3F914ED64FE618E26860C6BE09A6BA56100687B3F0A61EAD9D55C984107B1DB88A1901ABFB93B0C3556E4A3601E08BAE9BABAFB177D61702E0E8A357A2E760EDD39CF7A3C601C022C629607BEA771E408BED8C96788200F16F3F76F9FB89B4F04389D40B76FF720CE478BACD77E659359D3803BAE4BE439FD4A212B38E169BC1A1CF9594FEDF4A33ED7DA7B3E1D853D055D45C85B817805D25B59B52879B1EB7D59B723D05AFBF9F62FB1384A12748B0965FEAF5CCC5F45162F173836D87B25907C262AA247C198E7EDFE7A472BC6553843E14C39E70DC993E566F0C339108FDF32A7C9C9186A09BD5773B3D3393CAF8F8D3CCC2EDB7BA08FFA76C918669560CC170F69CA41614ABFE6D230AC167A8F74F6664A23179580796EC0C01269BA2FEF895B36EC666E750DCE0F76BB411867EC5152EF5B1A1AE2A857D791147EC9BF50D4B1E93562812787C7CD07B8ED8CCBC294EC0721775C69731B3B471BA1621CD5BDFD11D5CA1D38EAD2A5B565D617A84D08FF1F4AD5BEE0470D09B67C8D24C9018EB13205E6C86049B50C5DE2C52345E015732CF2CE1DA9E5DF6CF0F54256B4D1D35E7193AFAACF616E28E761D977ABF2A54A3FE5D2823A275DCA6360394F0A7879AB61871BB8F15C9BF1D8990DD256FB7F07C90541FB2AF3C264E24C8DC24BA47F6E23C9C17BA3162CCE979C063A47841A3D264CB8489082B3B1266539ABF7BB6D6C277064980799793656E1F56906BA4541C19A8969CAE9FB98EE76500A895DF493FA7AA4D8C4CF2F6AC554AEE05490C1CC888A8D9F30F477EF76DDC191794F0E92D3FEADE9B09B1DE64ED0EBA2BFC82D6BFC693A48205310D32BDDBDD48333AC81DB32B404163E6A835A5DCC3308AA0936F39E66CFD9173437B00BAE28D6D4DEFC2DDAD001E2A6E782BDEFAB164A214F36E95C307CA141A1F38D5EFA943779E9D01A72100F5DE76A072074286B5C6739B805EEEFBA5639F2EE0880265ED091E4A2DEC230CF7453F4BDEC313E16297338A3E3F6E03C8FB1208909A46DAD667D14BCB66F9D21573EFCBD3A4B2D8196C94EECC453D943C8B27D3E2BF9B7DEFC2D00EFA3FD131BB48170A263A76366B78BBCC0D807CB0DCA4DAA9948C8240B537ECC28FEFC3AB60D88A3486A5FC15C4BC6EC099E17D3A6B7B2761EA86980189E0E606BC0B1E971532E627AC167726902A9D44C50BE24FFC34212B54DC596064E34B9821E6EA5A63892F187901691F516649E7B01748AF1867A42A63BAB54BF551668D0825E64773752449C64EC20842E5B8C6760D3379137EB9B5CAAAF469474AA9BB3C1F1A5C257363EB27BE4C7BC5C890F5D9532975051F2C4D62D14C0024289F240A6ABDE67C0896DE2EBC84FCFE99CEF7D15F79B221617D385782F60564B0B5911EE2D1BE5459058A37C578D0348D1C6E5976DED66B6BD26D5ED78AFC59561BC28C75FA4B5048AA59D7D7010E22293A14D27B7B6F2ED3B8E5974BE2E8E46850E30737896FA0A2104EF31ECB24AE8B16FB090AAF578811A60D864711B8BE1CB538F69A3AF67EF47B81D50F07DDAFB394373F8C8678D938E618184955D14EAB88D715E1CD22E33AAA7027378C392D76F458463F28A7F365EE708EEFEEFDDB261D0EC1F44EEF0E0084DDDFCD7DD4F28019D9184091C6E2FF0DCEA261DA0EE746AB6EA802F63C1C374675B52B3935B937EB7375EA28E3B5198C8FE2C9A677BE319933D981A19505E557A2ED6E007110F0D95689ED23F62F20525E0029E4789933136B6CD3644F4D63B002A0B5942EAB5FF7B858B40DC120D78BAE089A65EE5C7128DB3841DF863F476AC15029EC0147A0596D2293D1B5F48B13071822E2E8E9F525FFF083732BA87719FE92F6B264D9950458BD2C499E45AF0C6179B0F116210844306EC289C478FA72F76A6AC46ACC55A32C19B2827127FA1A6D6F36B1EF50CE67A458643CAAF9B8A9FE3F28EBB7896520D14827F64CA7D6EFD9B8599EDE0D32F9748387569ABB52028E042EFC659AEDE4EF4EE4B85FFCD17455A522ADF712C6675F46A3DBF341E6FC748CC19CE8306C1E3BB762F69B171446D36E63A299D0D68B88ECEE3D7FA919BF402CA3EBD46FAD001BC250C8177CD43AEEF01D32417303B65728FD25DCEB9F1289815C3132EC1E57A376F1C19D6901C398C58A3D7DA3AE23C399EB71FA31A86D1CDA4940B624D28AC93DA1E9FAC52026C3A110250B5E95F78229059AEB9703377671E47A09496F1DC333BE19C537514AB5255A27838CB039CB7817D35C387F3A19E21437EE1CDD2C7EF58830284EAF677DCE2D21D4B1ED54E2B2B15977A983CF939A9F5AC5598DD73E50A43CDB6BD4CA9F08B78CD9C96CED06554DB1CF4A6749FD50B062C702A6A2EE9F6102D7E848254593E430EC9A659E0104602050B49B70C4F182327F3EBBC4214FA6BD034E2222CA012B3BC288413F6ECE618EAF3ACF1B0D9AA94A102DA9B56329F4C808AC33D35AF54E6D4C1D12E60734EB0289F1674255AD4FACA9644C36388E65C1DA898E4CD6531E89592E1E57BB2988D5788EBE1B013283DDDFA346CDA5B224F5F8BEFFAC5CA521BC546AA3F1EECB254C597314657DDA91727BA42929B3993C3C44ED3CE00AA1AF9B00CF9EEFD7530ACF29C50BD0706620372424F58BFB356D28EF5A8D90403C52D62DD2F92A19B75E6C46CB4EAC77A9102A6DCBB1DCEA05A28688B94ED3966E9564519580803795F038255CCF0AB91762898942AFA38E4BF7839B3DEC19D2444D5237212E15A491D1F5636D41D0CC3751D96D856F1CD4BF2A3FE1AE8168B2475D11051EB1980C39FE1 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+smlen = 4891 +sm = 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+smlen = 4990 +sm = 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+smlen = 5419 +sm = 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+pk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+smlen = 6046 +sm = 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+smlen = 7003 +sm = 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+smlen = 7168 +sm = 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+smlen = 7663 +sm = 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+ diff --git a/crypto_condor/vectors/_mldsa/pb2/.gitkeep b/crypto_condor/vectors/_mldsa/pb2/.gitkeep new file mode 100644 index 0000000..e69de29 diff --git a/crypto_condor/vectors/_mlkem/mlkem.json b/crypto_condor/vectors/_mlkem/mlkem.json new file mode 100644 index 0000000..77e2e3a --- /dev/null +++ b/crypto_condor/vectors/_mlkem/mlkem.json @@ -0,0 +1,5 @@ +{ + "ML-KEM-512": ["PQCkemKAT_1632.pb2"], + "ML-KEM-768": ["PQCkemKAT_2400.pb2"], + "ML-KEM-1024": ["PQCkemKAT_3168.pb2"] +} diff --git a/crypto_condor/vectors/_mlkem/mlkem.proto b/crypto_condor/vectors/_mlkem/mlkem.proto new file mode 100644 index 0000000..0efcaf2 --- /dev/null +++ b/crypto_condor/vectors/_mlkem/mlkem.proto @@ -0,0 +1,44 @@ +syntax = "proto3"; + +package crypto_condor; + +// A single ML-KEM test vector. Can be used for testing encapsulation (uses pk, sk, ct, +// and ss) or decapsulation (uses sk, ct, and ss). +message MlkemTest { + // The test ID, unique in its set of vectors. + int32 id = 1; + // The type of test. One of: valid, invalid, acceptable. + string type = 2; + // A comment on the test. + string comment = 3; + // Flags that categorize this test. + repeated string flags = 4; + + // The public (encapsulation) key. + bytes pk = 5; + // The secret (decapsulation) key. + bytes sk = 6; + // The ciphertext resulting from ML-KEM.Encaps(). + bytes ct = 7; + // The shared secret resulting from ML-KEM.Encaps(). + bytes ss = 8; +} + +// A set of ML-KEM test vectors. +message MlkemVectors { + // The source of the test vectors. + string source = 1; + // Description of the source. + string source_desc = 2; + // The URL of the source. + string source_url = 3; + // Whether these are compliance test vectors or not. + bool compliance = 4; + // A dictionary of test flags and their description. + map notes = 5; + + // The ML-KEM parameter set. + string paramset = 6; + // The test vectors. + repeated MlkemTest tests = 7; +} diff --git a/crypto_condor/vectors/_mlkem/mlkem_import.py b/crypto_condor/vectors/_mlkem/mlkem_import.py new file mode 100644 index 0000000..12f1d78 --- /dev/null +++ b/crypto_condor/vectors/_mlkem/mlkem_import.py @@ -0,0 +1,75 @@ +"""Module to import ML-KEM test vectors. + +.. caution:: + This module is intended for developers of this tool, as it's only used for + testing and packaging, has hard-coded filenames, and uses relative paths. +""" + +from pathlib import Path + +from crypto_condor.vectors._mlkem.mlkem_pb2 import MlkemVectors + +VECTORS_DIR = Path("crypto_condor/vectors/_mlkem") + + +def parse_nistkat(in_filename: str): + """Parses vectors generated using NIST KAT generator.""" + # WARN: hard-coded path + file = VECTORS_DIR / "nistkat" / in_filename + + blocks = file.read_text().split("\n\n") + + vectors = MlkemVectors() + vectors.source = "NIST KAT" + vectors.source_desc = ( + "Vectors generated with the reference implementation" + " and the generator provided by NIST" + ) + vectors.source_url = "https://github.com/pq-crystals/kyber/tree/main/ref/nistkat" + vectors.compliance = True + match in_filename: + case "PQCkemKAT_1632.rsp": + vectors.paramset = "ML-KEM-512" + case "PQCkemKAT_2400.rsp": + vectors.paramset = "ML-KEM-768" + case "PQCkemKAT_3168.rsp": + vectors.paramset = "ML-KEM-1024" + case _: + raise ValueError(f"Unsupported file {in_filename}") + + for block in blocks: + block = block.strip() + if not block or block.startswith("#"): + continue + + test = vectors.tests.add() + test.type = "valid" + + lines = block.split("\n") + for line in lines: + key, value = line.split(" = ") + match key: + case "count": + test.id = int(value) + 1 + case "seed": + # Currently not included in the definition of the test. + pass + case "pk" | "sk" | "ct" | "ss": + setattr(test, key, bytes.fromhex(value)) + case _: + raise ValueError(f"Unknown key {key}") + + file = VECTORS_DIR / "pb2" / f"{file.stem}.pb2" + file.write_bytes(vectors.SerializeToString()) + + +if __name__ == "__main__": + pb2_dir = VECTORS_DIR / "pb2" + pb2_dir.mkdir(exist_ok=True) + + nistkat_files = ["PQCkemKAT_1632.rsp", "PQCkemKAT_2400.rsp", "PQCkemKAT_3168.rsp"] + for filename in nistkat_files: + parse_nistkat(filename) + + imported_marker = VECTORS_DIR / "mlkem.imported" + imported_marker.touch() diff --git a/crypto_condor/vectors/_mlkem/mlkem_pb2.py b/crypto_condor/vectors/_mlkem/mlkem_pb2.py new file mode 100644 index 0000000..a940ba6 --- /dev/null +++ b/crypto_condor/vectors/_mlkem/mlkem_pb2.py @@ -0,0 +1,42 @@ +# -*- coding: utf-8 -*- +# Generated by the protocol buffer compiler. DO NOT EDIT! +# NO CHECKED-IN PROTOBUF GENCODE +# source: _mlkem/mlkem.proto +# Protobuf Python Version: 5.28.3 +"""Generated protocol buffer code.""" +from google.protobuf import descriptor as _descriptor +from google.protobuf import descriptor_pool as _descriptor_pool +from google.protobuf import runtime_version as _runtime_version +from google.protobuf import symbol_database as _symbol_database +from google.protobuf.internal import builder as _builder +_runtime_version.ValidateProtobufRuntimeVersion( + _runtime_version.Domain.PUBLIC, + 5, + 28, + 3, + '', + '_mlkem/mlkem.proto' +) +# @@protoc_insertion_point(imports) + +_sym_db = _symbol_database.Default() + + + + +DESCRIPTOR = _descriptor_pool.Default().AddSerializedFile(b'\n\x12_mlkem/mlkem.proto\x12\rcrypto_condor\"u\n\tMlkemTest\x12\n\n\x02id\x18\x01 \x01(\x05\x12\x0c\n\x04type\x18\x02 \x01(\t\x12\x0f\n\x07\x63omment\x18\x03 \x01(\t\x12\r\n\x05\x66lags\x18\x04 \x03(\t\x12\n\n\x02pk\x18\x05 \x01(\x0c\x12\n\n\x02sk\x18\x06 \x01(\x0c\x12\n\n\x02\x63t\x18\x07 \x01(\x0c\x12\n\n\x02ss\x18\x08 \x01(\x0c\"\xfb\x01\n\x0cMlkemVectors\x12\x0e\n\x06source\x18\x01 \x01(\t\x12\x13\n\x0bsource_desc\x18\x02 \x01(\t\x12\x12\n\nsource_url\x18\x03 \x01(\t\x12\x12\n\ncompliance\x18\x04 \x01(\x08\x12\x35\n\x05notes\x18\x05 \x03(\x0b\x32&.crypto_condor.MlkemVectors.NotesEntry\x12\x10\n\x08paramset\x18\x06 \x01(\t\x12\'\n\x05tests\x18\x07 \x03(\x0b\x32\x18.crypto_condor.MlkemTest\x1a,\n\nNotesEntry\x12\x0b\n\x03key\x18\x01 \x01(\t\x12\r\n\x05value\x18\x02 \x01(\t:\x02\x38\x01\x62\x06proto3') + +_globals = globals() +_builder.BuildMessageAndEnumDescriptors(DESCRIPTOR, _globals) +_builder.BuildTopDescriptorsAndMessages(DESCRIPTOR, '_mlkem.mlkem_pb2', _globals) +if not _descriptor._USE_C_DESCRIPTORS: + DESCRIPTOR._loaded_options = None + _globals['_MLKEMVECTORS_NOTESENTRY']._loaded_options = None + _globals['_MLKEMVECTORS_NOTESENTRY']._serialized_options = b'8\001' + _globals['_MLKEMTEST']._serialized_start=37 + _globals['_MLKEMTEST']._serialized_end=154 + _globals['_MLKEMVECTORS']._serialized_start=157 + _globals['_MLKEMVECTORS']._serialized_end=408 + _globals['_MLKEMVECTORS_NOTESENTRY']._serialized_start=364 + _globals['_MLKEMVECTORS_NOTESENTRY']._serialized_end=408 +# @@protoc_insertion_point(module_scope) diff --git a/crypto_condor/vectors/_mlkem/mlkem_pb2.pyi b/crypto_condor/vectors/_mlkem/mlkem_pb2.pyi new file mode 100644 index 0000000..658cc1e --- /dev/null +++ b/crypto_condor/vectors/_mlkem/mlkem_pb2.pyi @@ -0,0 +1,125 @@ +""" +@generated by mypy-protobuf. Do not edit manually! +isort:skip_file +""" + +import builtins +import collections.abc +import google.protobuf.descriptor +import google.protobuf.internal.containers +import google.protobuf.message +import typing + +DESCRIPTOR: google.protobuf.descriptor.FileDescriptor + +@typing.final +class MlkemTest(google.protobuf.message.Message): + """A single ML-KEM test vector. Can be used for testing encapsulation (uses pk, sk, ct, + and ss) or decapsulation (uses sk, ct, and ss). + """ + + DESCRIPTOR: google.protobuf.descriptor.Descriptor + + ID_FIELD_NUMBER: builtins.int + TYPE_FIELD_NUMBER: builtins.int + COMMENT_FIELD_NUMBER: builtins.int + FLAGS_FIELD_NUMBER: builtins.int + PK_FIELD_NUMBER: builtins.int + SK_FIELD_NUMBER: builtins.int + CT_FIELD_NUMBER: builtins.int + SS_FIELD_NUMBER: builtins.int + id: builtins.int + """The test ID, unique in its set of vectors.""" + type: builtins.str + """The type of test. One of: valid, invalid, acceptable.""" + comment: builtins.str + """A comment on the test.""" + pk: builtins.bytes + """The public (encapsulation) key.""" + sk: builtins.bytes + """The secret (decapsulation) key.""" + ct: builtins.bytes + """The ciphertext resulting from ML-KEM.Encaps().""" + ss: builtins.bytes + """The shared secret resulting from ML-KEM.Encaps().""" + @property + def flags(self) -> google.protobuf.internal.containers.RepeatedScalarFieldContainer[builtins.str]: + """Flags that categorize this test.""" + + def __init__( + self, + *, + id: builtins.int = ..., + type: builtins.str = ..., + comment: builtins.str = ..., + flags: collections.abc.Iterable[builtins.str] | None = ..., + pk: builtins.bytes = ..., + sk: builtins.bytes = ..., + ct: builtins.bytes = ..., + ss: builtins.bytes = ..., + ) -> None: ... + def ClearField(self, field_name: typing.Literal["comment", b"comment", "ct", b"ct", "flags", b"flags", "id", b"id", "pk", b"pk", "sk", b"sk", "ss", b"ss", "type", b"type"]) -> None: ... + +global___MlkemTest = MlkemTest + +@typing.final +class MlkemVectors(google.protobuf.message.Message): + """A set of ML-KEM test vectors.""" + + DESCRIPTOR: google.protobuf.descriptor.Descriptor + + @typing.final + class NotesEntry(google.protobuf.message.Message): + DESCRIPTOR: google.protobuf.descriptor.Descriptor + + KEY_FIELD_NUMBER: builtins.int + VALUE_FIELD_NUMBER: builtins.int + key: builtins.str + value: builtins.str + def __init__( + self, + *, + key: builtins.str = ..., + value: builtins.str = ..., + ) -> None: ... + def ClearField(self, field_name: typing.Literal["key", b"key", "value", b"value"]) -> None: ... + + SOURCE_FIELD_NUMBER: builtins.int + SOURCE_DESC_FIELD_NUMBER: builtins.int + SOURCE_URL_FIELD_NUMBER: builtins.int + COMPLIANCE_FIELD_NUMBER: builtins.int + NOTES_FIELD_NUMBER: builtins.int + PARAMSET_FIELD_NUMBER: builtins.int + TESTS_FIELD_NUMBER: builtins.int + source: builtins.str + """The source of the test vectors.""" + source_desc: builtins.str + """Description of the source.""" + source_url: builtins.str + """The URL of the source.""" + compliance: builtins.bool + """Whether these are compliance test vectors or not.""" + paramset: builtins.str + """The ML-KEM parameter set.""" + @property + def notes(self) -> google.protobuf.internal.containers.ScalarMap[builtins.str, builtins.str]: + """A dictionary of test flags and their description.""" + + @property + def tests(self) -> google.protobuf.internal.containers.RepeatedCompositeFieldContainer[global___MlkemTest]: + """The test vectors.""" + + def __init__( + self, + *, + source: builtins.str = ..., + source_desc: builtins.str = ..., + source_url: builtins.str = ..., + compliance: builtins.bool = ..., + notes: collections.abc.Mapping[builtins.str, builtins.str] | None = ..., + paramset: builtins.str = ..., + tests: collections.abc.Iterable[global___MlkemTest] | None = ..., + ) -> None: ... + def ClearField(self, field_name: typing.Literal["compliance", b"compliance", "notes", b"notes", "paramset", b"paramset", "source", b"source", "source_desc", b"source_desc", "source_url", b"source_url", "tests", b"tests"]) -> None: ... + +global___MlkemVectors = MlkemVectors diff --git a/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_1632.rsp b/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_1632.rsp new file mode 100644 index 0000000..f0bd610 --- /dev/null +++ b/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_1632.rsp @@ -0,0 +1,702 @@ +# Kyber512 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +pk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sk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ct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ss = B4C8E3C4115F9511F2FDDB288C4B78C5CD7C89D2D4D321F46B4EDC54DDF0EB36 + +count = 1 +seed = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC81ADDE6AEEB4A5A875C3BFCADFA958F +pk = 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ct = DA279EC672789F0B833B587BA1AC67F63BDAF224545F52608A97CD9751AAC1D99FCEA9C29A7EA6B9EB2322FBBB0844D289223FD69E1B508A3379034909B69D5545049764E7C184567F3489EC26535A567A44DE1181AFF8A6A2F1D9E9219628FC5BB66C00874264AD3D79A3BEECCA6B51B9E64F4BAACD33E68D49E4DAA8BE075597B294CBF9ACA97E86D9292CFB47BAF5AA6B56AE8D0ADEBBAE5316E60C15A6D94A0139E3BA1C673C9A91192161665DF9AC5AE8E60EFBAF7434285F9AE2CB1F561664E59712FE7020A99CC9D7DB81728D1C79016CCBF9EC9E06FAD76DF06836BE893D49249FB4732D4C21FA5853FAE5976345EDF7B5CF62A2ACADC513E14A1EFDCE5E14F89B2EF59A4A43CEFBEE8F9080E9FA3D016283255DB92DE25CFA19AEC4781BDE140633AD4EE9E4B5C635452F4E365EC5BBABE4AD79B2EF138DA5B879DBB900E9F7E00C593CFEC8E8325279571DA238EF3554A92D37D6ADBF1BA8D18D4AAE4086BA7BA9D8163BC720B99BC9F83B073EF5CE1C035E6E559E30FDDD5074E5FB17EBCC129CB7862139BACCA245922C92FA7CA62E94867542F0F9E07F555B657CE0D6D7FDB41D5477C35FBCF34B29EE76C07DD4FBCA999EEC3478313A69C31053B70809BE75E88DD053E79884217F0FE6259BEAE3F978B94B1B8CC85591FE37D99D5CB1AA611DA61FDBA04E646525593E3DD1B6333903926D17ADCDE0B21D9C5681F483E3D77564923763AA2627F3945732FFFEE90BC5B798E335906978647ACBA8A5465694B54ED2C862942C601CCC27EDC29452A0F90165A9D71AF5C6957C3B32A4BB5167A669D2669CA500B689B8B0B3449C49A50FBED279020B296B6374167980F5FD06B66243A798153A22943C2FAC66EF386A12F8126C3ACA70DE855187F9CE6DD7A206F4C9F3550D7F51811E29A5F03E973E28D8F09E0C1944EAFD9D4D297773568A4B04DDAADF0CEBF3506CD3941640019DCEAC541B513F6AFB88E5AD4640DB6C66464D6287FE670EEEC1EFD60E80A4CA763346ED24A10D3F196F6ACD0F15A076BDF4AF9BD49AA4062B275B1B198132ADF38406C96A4B373E98711A 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+ct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49F021EAC8BA6DA58A63AACCFB2B5FB3A23C4B72B96EF9C1B7B984E72C711CD43DDB2B0BA6A8A79121840EE193CD625738EB931689330A2A6A50BA85CF907462569953DCB95ADC208272869F5ABA0639091C05601085ABC6D5262A614B28F57CD2644A2E9504D0202C30D159D49421BCD70CCF584638C8C9621011DA502C9E15397100CF1F28072E1B9A17B5B40AA399FAEB9C2033B3AD4C7614B8B2E96213B03528F909A1BE587DA9A86567CB625DF9CD22D28D6DB41EBD54061A8B2EB1105264E58B2571AFA6A908B7A6738B517530C7B1D14290A4347702B71C815834D745A2A085297C637C95A736E4ECB37B3704E9B7504AF6A982C83CB5C368FD067596400E66755794552EBD2A246F291156FA3AF51B7E9DB358C7AC5E46BB00EF204ADDA06FC1788CEA0CB07621367FA99E920446A80BC8354432A3934373FB62E4D82A6790162409CA68C72835E35D5A99BFDA071BEFCB41485B13617B56BA53586F19B905E79629564E74C5B1606A7D62F1A7FA31A86481887C67852CE77E4C87485CD84E51C9296E31A1C3268600E04F470AD0CAD53F55D6C2575522D913A37D6309ACF3732A6C18907892030C6B571AC41B895276BA8EF6FC939DB7B4DB440E514B1DD49508583B32AA72193AB94A2637390FDA5F80E77BDD0229DAD6827334677FB16A9CD1882F0B83C632102A117072E4B2F7E0827EF2602946350196852E91034AC791CF798C0D411FF1454863B1AB3B53C650F6B4A40912E8F7615A88B8F0CB869300A1FF2370DC3805A8BBCB3393B556F25AB7CBCF6D5AB057B462E064BAB5C23DEE3C27DCF71BAF88137705803FC2203129005F3A238E065133380699B3C5E0750036E02BC2D1A2FD7B49EF66A32146A5B6096F2E13AE2046C7E35A7DB870C0F600A2601A2988AC0D16B76A71677353B334159022F9907A29096927B7A4627C1F0B801D58F271EFD86B74C83574B2C4C4F66D3F19AE4A903628DB52FB746F5CD8473DE14862C96FD0142D48359161D7CAB7F9BE85EB2A194553FC01C8ABD1BC94577328A0683C8C474CD88A54E739332C32C436896BB96FB5A97D6EE5288468B91F0C3BCBFC6D0D41B443D2269BC905B855992527B3FA85C305B9BC4B316691609957CA3DC87273F973CC06B09DF13549A6222A2A970A44B108F6A434F5415489BB807DD6BA8358C0B95C9A92B7413808BB5BB094E0B54C15F18453446A28505D049ABB1FA551FEB055AC23718D17BA668230F2B57854CB130357937CA10C4D726FA9EB18A1421A491547B8B59B33E07E7A1529033722B6931E27D5220A083C95F1B85EB62C5428777BDB37B8391ABC6CC0BB576DEF240DD096069EFA48C812545A365A462C9E95065E7CA7CCDDE66CA8FA4E3DF7278F096DDB6A47B32C613FF46B56043D3D6649B109B17DCB81AD84B9A1AA85B20217F8C973D205588CF0927A3A0E8227C39DE35EFF82BA2FB2B3E86A22C6407B3FC1620B3A16B6E93A78BA2007FA4FEC542CA9958755C1167616021A32A45EF1846B0991C9FBC65E2B5B6B5A4240055221F6336FD966BA074F648920FE210C6499A32661019B190319A7B9EBEA341B9A79A94B95B7476B1127C888FC46321728CEF8CF2B41C616CB429433C14CA64300E48B9D0AB42F439F7BE5A46C24391499749C133612096D7051024563A97C11991EF702ADBB93BF42C042B092AD4AA301BB32BAB6BB2414B958731E950953628582AB2B30D5412C6CD1993F5523510712CE3727C68A3DEF23205B9C6871E92B93771211823C8842A0C676AF0E69BA03948262B59EB7E424338B6537D8412CAC3ABAF9A14A682B769176FCAC2CDB084361E681522A06D7F2A38B7B7722298570C492BAE0CB7B2945DF904E24E7CCD4A9ABF4D4045AD1323D996F155531194BC4B96B53BEA57EF493BF83019A74B22AD3674E23C40C6F95050516A4018B5259ECB158273238E74C6FA03F28A6606DB41C85346C7252B60BFA1AAF117291B4BF5A01AFAF400D593A230833ABCB7C35C0C9A3B6F5AFB40968ABC4BCF581337A1B39F443436445A9FC3A2A6D8410D20441D0272155CCB4DB35BED163C200E325E073103105164999BD4552B955943B5A8C5038EA2CE32A49E652A443A136AD4C9566A56D5D6B0EC8153F10C5908525B6D6B3BCBBE628C6E06ADD65A3ACA0D32D1D1E6061A595141E6D1B73C3A8B2E8DA598565419D6B69AB70142BFD8510DF5AAB4D05B7DAAAFD2C33AEABA815B1D15BED1B204F72B721B5EACF1E4005224FCA29659D6C7A880A5F20D5FE02DC4491F2F095DCF2DDECBF105014C5A8 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9D4273779F832D74CAF77AA817C3DCFE4F54B39E7AEBCCB2FC4E2A674D52F29EE1FB5A4933FBEFBFBD666D7D7C511CDB3FD1FDBECCFD23E56200EC8EB01AE44FCB33DFC9F497B7592A503998A59BBAC1F268F00D8E6E66B548435B13647C2912343909BFA5E12914A2C4CACB789816D0382C0D1279E2624209A970535524EC8A5801749F57A3625334EF904BCC3EB1CB515AF24BA48DBF4EB627677CF9F1041336B28B3230435EC9790FF07E02DB8839E4BF3E4FA62BDE1B673891E2394AF0B58238D71D544BDCD3E1E6F09A9388A698C269F358512660A90096833E6159205E2B56964D6AC5373374EED0319E2CE6C20C66F0C8A230AAE5525F3B04363E02BD028C02B82C9B7DD48F35796F577A06925F7538F44CDCE3C5F334D443CFC0C5F46D83E150AF3DAB8D1435EFA0173289E4A8228385A50E5D42E32CEEFC399E16EF6C74E2D7A047958621266E497D336C5C121F18D18036D6CFD998AD1F1BD6755EB29B135148D2C1D70EE80422F272FDB9F7A62985DEB34E76A0E3AF9629CD1B5E7911BE20BCFDDEA67FA8F0D2F02E465ACEBF65654E6EC6010752D93DC15E5856A3B677042FF9B0D752D09CB712DBB5B926C88883CE666206A744E487A921B75E8E44521D424654F0DD2AC4D302330732B8B59E1388298CFE0D930F9037FE2E6D2A6EC9D9C140A39FCFD7A175E4627647FA2B3ABB8D608903C642AC988F089643CE36CFDBFACCE7D4125FEBD99468124AA5F4D44D87DBA4E047DA1E14AC1E4DAB09EC1212609FC62F86E23635B81A48734A7663B0A404E6A71301C2EB82FA0623FDBD4ACC95065751F5C0D50C89492904D2C845B7534E7B157BF4703E9646F438FA493DA0E8C1433665CC14E102B0975CAFEE444F9A56888FBDB100C4F2DE1691ED8B5B067B710626BE1520F5BB9196E6943C180E422BF495F87056D19F435808BE908D77C6E12820354E197E5E27F7B12D5D7791117EFE4B3C2C199B768190DA51B5A9B8310B108894FB14834323F106FE4A8A3CC1D280E3DA9E997F8C080B933C00895AEDFF2FE006F411FF2007F4395CDD7D362A44DF901E1CD56E76615CF7 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+sk = 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+ct = 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7A0C54331B800542B9817472213A42F3F0CA5098B8BEF522F5408098246E29686BCD9576654B8049E30DA2D51AC1F3305BD97C64869482050D1DA097E66CA431F4154DD0512F913395A2530FC827550A494E788C5884284756691CE076A4B8A282541195C26B49C32C62C9B229D90FA7DC1F53881F7A9CA307188E9146C56FC56539A93D2585227A54AD5B344F212148424279204C66FD2826E791CCE83336D0623068B9748E3A3118668F13B3BE5AD11CE6424E5309BF098799EE6562BBC807A97B4DEF7C39AE71C0F4672356391AE8719F0B69A1D6C781859C98981A1F418C76BC043BE2F5817B21A7BAB48ABCF83AADF09909282EAC65A001E0985B8C1DBCE18F03775CD0768516FB1484D5C537C186B3027726B67EDA65A5440353F4C34C3C509E327ABC7FA5817635B186982C7426A6A7405CF25BB9963A38A52761CF31811F1470A8939B45B1CD97B8A45AEB5547265211E1624F428C430177C233236AB3727A8B36D950C12E643A363581CFF215CE350D2E8C90A55CBAFA35931B5805A2FA01C76A45C9D82CBA936B79AC1EA3C503E124872DB6898A87A1E66745150099C3BC6D239AB80695C339325A46FB7F3914454E720DBE970687048B704CA521D160FA784676C0580EC37A1F064A3122AF3CA0CA89B411F3EBA930455D765CC5300A65C5202A1FEA8A8F409B218074D6221AF0BAC4E675C553C61BFBD84B2EBA38CC709D40155ACD1A0A99F56E51426AC032C7D31117B27630D1033A7DC84A9AF9606F148381194AFFA3C0C3AB1C449A5E8BB111AD6A7C6AF70CD87A19A6A90E6BF16DF9D2B0C9716EC2C748EA52877CAA84B67744E4F179FFC702F806A796A746C734328D72A778E4123C67444E9B448E4A3DCEB3AF11519017951FD3B05F902A0B5B5A318F315B00A81CD68C5CE521AF7B54C4B153CC07E11DA6F829A7F54B4313576BB416A4F3798B8B9ECBC00FC1A03A8676B221BA6BB410CEE9D616E8C256DC54A9352B711AAAADBED3425CB587D687333678355C650D7077B5F9A971F424255FB11C7D807FF2CC4F28AC59A565B1D4E1984F5B4F3D59068AF459BA29588F1B0FB922219852C143D7C3BE4C4F670C6EBB901E2A1A8351A547B0D1B00BEBB9E5734CD4615DA69B9DCB9A99302C39C92799948710D384027CD4062BF8BE536C282302855913C500E462AFE75B87A7208F43AE09067CAB0534306676398822EC94931FF4A23CE6B3D4586309BAC804DC34F54CCE17D9949F9182D8A50ADF0873651124912AAD5CD747FB61A87D42701AC09EFC934C146914625C5F2C471EB753451CD8B599201D5ED10D94C9A1537B091B96BA06A2C6DA30665D3931D109C7B080B1CC2B82405066D8D37FA1624769A850AEEBCD3FA50A9F274BB62809E7063A0151A00D11AF90E446DD9B3052C8B4C0C23B5152C3911633ECA5CF9408A8342B8E3FC6197A7B25D7B9825843705D4BC2EF15A249F4C9BAF171FD5116F4764AFDA29F781C574A5C65B7D80357316E77B767C5727E3A6695270A2AFAB91880C9A9F47AC43D4B89F7AC75D2F859F3A0C2D81963479533915B8B79FA69C6F276CC7A993BA02C6C83A567DA3627C96C5524255137503EE3116972A84303B1C44C5007D53E6B2B7E9963106FA27282EB74AEC8B8A56804D628BD5634729E27AC4FEA14AF99C0C6DB7A5F61A08DD93B794191AEF5A7ECD69D58D94467576656111A339385F6FA306AC45E606361CF7BAC0C2C744572A987D573938C6502B394616CB835E086D9A214D5996A3FC75BF9C41FB300A9BA84BC37F6657FFBC556B8C2655655E1605D089C3F8F4B3FC4895666B3327B009967DC6CEE4AC5E205B705ABAA2DA70C429C330395823EFC0F377169CB3421C3F7B3C9D9959A836DB8C2C5961280AE75710688ACA8277048CA0AB5FB06197C41A728679B191671607DFB570AC2D1BB85784E3C8A6442EBC3EA2B702DE3368FA5071D8C7126208FC1F563D8E197DA494C62C435F3BBAA7E778EA3D433B6DB3790BB43790860DEE44EF3B09255C984AC7838A7354CCE3BA6B4CA18F55169FB92B4DFC6912E0C25929B312B93113A2876FF8265A8C72DB62279C2F326B95B10091372D1519F637650FAF23B6A38AFCD9A14ED83568716162E23148F172A8112C6AB60B70CA59CCDEA23C51405D1522200B6553F7832C4FAA6D99D5DF82D16AFCB00032397C74A7E4555C33707246204ABD035F25BCAD20E4EE2D794895E77D234A80FF59177ECDEDE77C1264E4D7918284837F7EDF4788F32E757949CFA69DDEE079E2E00E439ECEDC8512097E2D2CE 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+ct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ct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+sk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ct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+sk = 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ct = 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CF6945582DDECA7EA77ED0413B794A57362ACA8DFFA0BA75543FD97E4E6328C8D235114E3B23C0CB0220273904FF67F03FCBD244B8A8CF7185536B5E623B4BF3CB1EDEDC56F6A3DE4EE4E56AEA52DA6598F85C9487E6988178478C336D64D5C5333CAD18912B326ADEF59D20EF6225A8EC7CD321C43D3AA0B11E06B088F06B93F30C2B2F617AF7A67F7DA37DAD24593685A6635DBB0F7F29D60B1B9CC96D7DA4A52896236B6078FCD3BA2AFCF38A640DEBEA69850452B1268ACE836BBD0FFC6484B348A3DBC992B9C3D618057C644B1859D88B92A3A8D2F7EF2F269683CFBBB3CBFF7680E2EE30FEFFEB70A9065667E52E9CB7D65F353631B12AB7D04941EFB67A7CB69206F93DAF58A213DE180B01F028BFC63F9DDD91D8A628785F3479DCED8037F404EFF6A6849C6D177684520802A34BD2BD003055ECBB23ABCBDF4598CA8BD065439C684C64596586C290B4E4DBC694A9ADA005B6B5C2495D71263074A8C3ABC059688AD2CB3AE3684C61AC76AFE104AC77DACA23B24270203A0D821F306DD4D1F9E3DF6A6900437559F54008FEB1A5AEF91DB5E0AE22CBB1FAE36308007AE8BFE2F847E7660D18858A335A4C552006E0371B37681A92E61415BFB60F5793E765B1A6B16F4545F3AEFFAB3CA8E9AEEA0B41C67CEB4E1443ACA02D5AC76EAB1C19CDDC76E18A33F7132653B2949F0AD0D5CB85553B75560678481A1B75A0DE02E7686B2A662F2A78923C24928449A4C8EC3AB17FDD0195987C3407953DA1EF9A79C91FE937B3E84312478C4C02471DDD5438723BE11C634AD44FE752B03187DE11887D5BD3655838C621C72377B43DB221FC750ACC95E7C5D5669EEC2BB0E3DEEACFC192F93E4734F618A3D5CF3F70C981A7FF2576CA44F2E4D3D60B62B253BD6CB4FFF845794B0D1F4B3C90556C0DFDCB45FCFC4F781CA1C6F3F1255FA3D72A3824F9900453A57F8D8C4CB193E79B36F6D0245E9FC0855890D5A49C000983E6254A633C5A5328886A1F972ACF880D4ADA0C9F9101E1236DEAFD25F6C62418BD81A63E011517E0BD07F1D14ECAF1B29520631B1B0FA8D393B3F771719F9C 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+ct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+sk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ct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sk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ct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+sk = 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+ct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+ct = 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+ct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sk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ct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sk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ct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ss = 39B5AB6CFFE8560E2744C924CEA5BDBB377AC4C1AE921E545FD3854BF4C19898 + diff --git a/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_2400.rsp b/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_2400.rsp new file mode 100644 index 0000000..5501a17 --- /dev/null +++ b/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_2400.rsp @@ -0,0 +1,702 @@ +# Kyber768 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +pk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sk = 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+ct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ct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+sk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ct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ss = C1138A812E1B95DFCBE1021A1EDCF12880765738B8C82D5F86CA93CBA78B50AD + +count = 16 +seed = 9DEBCCFE818F6B5204DB4EA09C03EC9A19DCF1629C1527685B8A29776BB1DAAEC45F8ABF8F0ADC9A8C8BD6E2DF6D8048 +pk = 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+sk = 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+ct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+sk = 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+sk = 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+ct = 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+sk = 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+sk = 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+ct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ss = 64CCDCAEA16C41EA70BDFC76AAFBCDCD57D9C3147D0AAA14E0BF8823D8864499 + +count = 23 +seed = FBEA1BC2C379F4F8FDCB0DE260D31CDB064C9EA9B1D6DFBE91B3692ADD1D34DEC9C9FFAE7BF5E72ED2743BA3F9F2E43D +pk = 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ss = B3AF14238C3C3A9864B4D943CDB078774AF4E9E8875DC37DB4EB4F711FA764E6 + +count = 25 +seed = AD1424E804F306C7FF513DA4C1E8D445AFCA7BC942FAC5C0B335733AAF70693712ECBDE26EA726EE0F9FD9D52A83B1A4 +pk = 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+sk = 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+sk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+sk = 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5FF60AF380B8A293B3A09E5C366F41345784288F351C3269B484D913F7BE4A0844801B1DC4674EC79D873196D22CD6F5A8B21AAC01C3BAE963F9884AB2315787FE971338B4A0D1AC3DBBD3E9771EF7193BA0A7D4BFE949DE1773DA60B5300D2AD26758F92F75C6DD9D32F005EE283C08801EED6683483FD5303165EEA46250617E54F8FB26E0D1D9DF887C42CF0961C0D4DC58CB3EAF50BA85D05A902474145B43AF2CDDFE70A41C081A4C2C53C5F81E4E4C36C92C05F7ECB950F6F586CBCC01C70D083F75C1C459632D25FB572F84E4FEAADB479385E4198160C95C8E958E9669F3A26BFCB6D42FDD945EF2B9D39C49462C2615F4AC6C16967B3AB153B3ABAA4FDC156F2EC0CADC58456EE3AFA9D1EEE4D6C29BC39B7EE8B4B5537138034ADDD32DDA2F0A65072D3E054583B7D62B51CB39B22EC68912BB2D084EE83109FA0EA2A76DB2A7B1B4EDA0809EA8085E36ABB6AF17FA6839AAA9C7A0165F5675AA52B838B4076C60091565F86F54C0C8791477EB9D024B6B8555A405B42037C6C3F0E4E61722C14FF3FF9DC677576466ACF889918723559E1A9A697355274942D034F78674DCF6A3A3867C55308F665DCCD117826321D5177C795DF22F6477C79F5F7364C625EF2F1D71B98C1FA18EE4FB000F1B6435D32FA708FA26405470C9725542ACD34CDA993FD9CC9352474D72F4E926803FC4BF08C1C062241E1506C01522165D68C6A37BFDCA429190A0183E7C1B88B1B7018B7EED1156F3E3B2B76F8AA1E8CB1D083B35AD1174D6C40BAD80CE57076963349437D358E2DAE6E563A647E76E0CDA46D4C72208BFAD1382DC47B253C40A9DF86FE0C3D6397A95A71715864502C5100463AB13E4CDEAA4E2AB203226DE072085315099D663B1A036F140BAC77B69CBE506565A8A69F582B06F74A1C0DF417642981D1BE2CE7EF48807BC1A1E3A73C04C8DF166CCCCF3E1F476153BCE1CC3D24B2D9440DE8753A544240B9C4BDE4453147A1EFAE6EE03369FB7F9F01386E5C99EA181731995557EB7A839910412468003E79287D6E84811D0B6DC84B6215EC128129C93F6893C3E63D98998616646AE1C68CB24F60783006BD948FAE0BF6A19F15349C0BE0DC5AF0B8B63AE36A28A99FE0BCE3B9D0FE721A8F1EBCE7030069F419D0CAF96FDC00C30BE2182BB24A7D85F87FEECB8B5DB35832C6A937EFCD487E5A15EC70CD3EB1507908CB2BBC1A1B10656BD54B6E19599D85D91D2156BCAF8A0440493979CD2D3EF9413BCB28BA9E017F89FF8FDDE65431C0C42318EE913FB7E178600BFD4F1A773AAE47D67EE151DBED14A5E8EA3E62939C4491E626DB97B20E3BE1F7FCF9ECD30E46810AF6A6DA86909F49E0397131656E904944814BA8462CFCCB852D7336E2DF19479C97CFB6775E7D1E1DBEA076810BCB9B65C22E94CFE74AD0842D8091CBB064A392668573F2FB98E4B123FD784E07F511070CC36CFE67DD2145F348F35CF602AD4E3970AB82B26EB04EC4FAFE550EC509B4F33A152F502DF2B195126C80ACE4A7269 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+ct = 3CE41ADEF24C782CCF087A126284418B4EF6270888451FC9428F41E7464C2DA402B833F38EF190C3E49F3C57137107C3F0BF42DF184E090E32166B083CFC84DDF8DBDE85E06267713333127676D30361BE67155676D44906BE280ABC4E572832BCAE420BC51EE58AEBFD8F2CF813FB8E0EA9C6DAE33D72D82A7CA0AEB26763FC38C3BE9316F1C86994449ABD92FAC723EB83F276F62A980279A88416BFCAE0E6F2DC52F129131899370AE0087D78FF3A1A9213BA4CD2F2D9B1D986DCF09C8649149B225F64FC11F069F2D0D6E1BCF445D52A980C1E9FD24A2B1A6A0D88158FAF0D6F0EE69F824DCEF02A6D5ED96153E87F7D0314900D44D84FB8D2AFD90A38BF451B6B45CBBB406617348EBBA80184A7D4CA38E10193F6DB2197E9DA82E7939BFB75D01D162B70740A90EC90448CF78BC0787568AB00CC74BF32EC0CBADF13EC01D4B241A08A97F4DADAD28ED123A0FFF483F30A967C910BD00C2DA85C2D0AAA2701D01B1B8164EAF2E798826D48CCD436AD19DC3242CAEDF26447381BE5E68B2BE3049F782DA1FA6C8542A3BFB1B295DA3C9C4C9ED1F603557B30B4FB9378B7AD46695025E16B49AA72F98E34ECF023590F4E6479C30FF2BBB1D6FF4ED53FCCC2F4F34169D749A148A98270DF4B9C2A105B402B824ABACFEAFDA873A1D00E0DCE0E634C9BC5AE6715E78AC81E9D5B3EF0F612A5C9181BD73F1EC08684A2EED292F843361444A5800E37E659BC29F7E1EC8D4F1EFB474BF233EEB4E97C3712610AE202F12506EFDB951C0DAABC07D6BE255FECF474F89D044488BEE86F572CC4EDCC2D77B485870A7540D5A72BEE091F9776428EA752357EC7E4F575AEF6652C59AE48A2DAA91875929AB8544DCA27F12B886906414011CD7E7ABFA5ACE167AF6CE4923E33DEA2F3CFFA6DCA785A1BB811856A0F7723DF273EA405595BB0C7CBD0B87D255809D7CB2467759C82693D35CDF1756B3E7A284CAE3A8CF8C7CC148B0547D400AEFDCE82CDD353D763EBE91DA2C572C4145C48208E2A341BFECA351D56696EB54F10019BE83E35A238CCEA29DAB54BBF6DF555A41BD0BFF035460A89488F9A339D461F1F3CD6D6F8EA776752503005679B9FA2D10AA163BC369C8F5A3D21450E0599047FCD1CD19AB247A9B8DB541369630CE2F3478176F26D1C050F3CC5C43FA5F26D375F3C6AE0F9637949A66ACBA69AC31A499A59916D74182A93F6073E12E99B61FC9FF52FE502EC01F5ED1DBC6E77E4F1D18A707BF6590DDA4BFB9E3968AA4998DBBFF71BB68F475BD129713BE8C31B0A503AACC8619DB1076A13B692A3488AB9030AD36C5C5CBBC645190262D40B95BAE7A5B4F65065D3154A3369E2F5462FDCAFD655A7A6EE2ACD5535952718E7ED9BC8CB5256A5E2734F16A047A1D96F24DC5048927526625302911350CC7F0EA3D3F89D7AED862241627DCBBF4342B4E6CD8307C534F04AFE40D78A202AB6DEBB1708670E648A2129E451921B24A15506B2822F8FCADDC4C4DE65964859178F8F38D5DB638A7F0D5AF201 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+sk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+sk = 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+sk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+sk = 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+ct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ss = BA80F2DCED001398613F494B2D4813A33F6BA143FFB602A0B152DBE643BCE56F + +count = 52 +seed = 5DE720F2D152BF4E1F96A61E7AE5F1BED6B8548E32638C2CCEC9F43B87D1BB43DFCF334F0582984D27E440D519AB662F +pk = 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+sk = 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+ct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+sk = 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+sk = 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+sk = 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+ct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+sk = 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+sk = 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+sk = 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+sk = 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+sk = 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+sk = 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+sk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ct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ss = 1588E00D33A4F3502533F98DDC3BAF046290750A99025C630A6DFBEFAC3150B4 + diff --git a/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_3168.rsp b/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_3168.rsp new file mode 100644 index 0000000..0a16014 --- /dev/null +++ b/crypto_condor/vectors/_mlkem/nistkat/PQCkemKAT_3168.rsp @@ -0,0 +1,702 @@ +# Kyber1024 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +pk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sk = 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+ct = 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+ct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ss = 30B142FB52346D2955DD0901BDADC20F7F286C002C39C7ECCBCBB372A21BBE31 + +count = 23 +seed = FBEA1BC2C379F4F8FDCB0DE260D31CDB064C9EA9B1D6DFBE91B3692ADD1D34DEC9C9FFAE7BF5E72ED2743BA3F9F2E43D +pk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+ct = 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+ct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+sk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+ct = 6679B55FE6904E4C0D51247214AC1B4405A65101096761AF59402DCE26603448254B4E264756187B2A9E22B25E1619A8CA3BDEBD65C53067A94E05F84F0D1717E6470AD3D746E5EE4CF2EFEA2E7EDE5B7D07FFC81A5AEF2C5F391648A1992A03E3904CA10F81351AEF03EC8A6CE513DE7A502279378492F740B39595E1BF30550E3926098524BAD36FFDD77FAD5C15A3233C09FB5049788D393AB2006766387E88DF20E66DFDD9AD71C616491E681DC1D211989DBF81E336CC5E0A3456F54E1BCA1139005E48A3128A26BCDD511B585A1CB584D4BF27A509BCFA61A4E635F4DC0D7D112C55CF9BEDC4ACB6B0CEC82284BC5061A143F330472DCBDBC92F772736FED65882B3B970891BD717843A37B2468CB099C7D6DD97E233FCE321DBF15FBFF9EA20FE2303BCEE1DF458E93328134EE15A56C44CB6AAF21E20F9C872866873D6BFCF97E36CC18C2A82322AF628BDE165CE8BB92AA65E31B999459CD3F0A3E490746A68891FD4A94B80B65464FCD786A5A1F5BA8325B17D1ED24249280EC102487BA5D37366F3701A187349C299FFE9798FFF340420A7FAB2693B2DD3820BCC1BCC7FC31B4DC22F27EE10BBF26D9C456FBAF38AC7500780ECFE67FC8DF68314F80ABCECA8EF1D5607B8B78577E5CA8CFD639A89B84116B26EB84FC5F5FA40165989F62F67BD1134A35B8CB2788FD5727305367963049FC73EA3249E9A587110759DFC569FA4186FDE9BE9FAF6B6A4042540F7CD56B50A8C4AE41CBCD4D3A9207F2E9BA3773CA4D99B497C79AE6000D1BB107223CCC1636B7ED427E7A2338C9742594E638EFC6124A7A8AA661BF0F3F4865EC95FA9B7BFD857FA0190334EE5FA8D9756B89AA233E6FF12762B11FCE6C56E30FF3F335DD1329E3438D9FA0F187E1B02CCFE7A61887848B1F0E50D425F79DB29ECE92513976E3E823D2CABCA84D6132390CE3EF2FE0C34C60FF8DF7FDB5669B8963FD2B397A035A27AB30DC84110F3DDE258934B8CDB70563782CBE588B832DE828510B3C797C7509B26C3BBA55DB7154C95D091311EC2F2A7751B821210E5B73C036AFF087EFD1473D7F71E9DABFE9A2F080949FA419C665E89968BA931D1A758303B3CC34E3377A3C274A3F523329EB9C343D890842F0F230C7F106159E626095591C4EEAF427E63CCA61157954CD89EDDBEACD7883352150D24357E3D64046A852FC03D860A506BA9D9D202437D30F5B8B06203CED45440A3C91C250BA5BA04A8A263D10574A24D88B9E356B787E12766DDF3F9BC420EE0D7A46B6AFF3F18B56787019F0FF71F4209B0ED53067B58125D01B49468BF082810974B128B4A6B7C380A307FE50372B7CAFE5BFC1A0C178B5D26CF199313EBCD88629C9426F9990A7B746781F0736BE9B4AF4298D88E0ECB7842BB5F86CFD2E1F7F3BFC039BBB207976E76388B148A26D43803C08A21D289A4E1D371946F52D98FE9E0FE1A6ED6A45491C06A8B6427A14F4D7B38C704375950BFB0CCAE45612F1C60F0CF89C3B63E8ED985AC7083BEFA6AF83A64789EB60907502D92B0683021051181F44A23F8770EFE01569942E35137E8091925E4215A20F0914E3D156D95D3D25789050ECADB559DB6DD08E5B6939EE4449151A4542CBB8C3BDC9B6E6F167F62699AD6437CA4C2DC43D787CA29918B03C797F398E0716310A8CEC1C5D02C099E7665E9651BB3451D4D720F39BB1BE6CC868740133FA8B2654B2FCAC3C1A4230AC9A39D25D2C28ED23A717B721E69079A142108AD45967CA4B5C2F340402ACFFE209CA450E9CE431BCF2D422E2347FEBEDD136DC3CDB468B2F01B43B45694ED2FEC3AB4F06A85EA74C752A3E12B64E218DE94029BE5D1969E5769CACE27B846B3DE945F641B81DB1AA8A840DC5FF688F834C0A0D2D03A6ABCE23FCCFD822E2AAE4E32CC49257558DA41636AFFEB566515067BE0A8DE900EBD2DCA315DEF2D115353E6EC36C4E2E8212917C5592C7BB6A8CA1D7B674F947BFF7E71389E276409E9E092B42D2B53D370CE6F4082E669EBB6BE25485440CA01772A83E2CBEECDB945F59F12D2421ABAC939814F40D76575BD47F5B1540F5CCAC85735566F4AE69E839CF98061842AB0B122931C43402C9524E1506C0887A3014639D3BDE1E70C1D0B6E273F8CE055CD40220EF330A080280F0A86C1224C3755EA58921C7857B870D68E0E9CD68A079417CFB786B1FF929E7F26CDC7 +ss = 13984718966CA2568BE5CD0C2DB87EDD376AB96ECF6E3F46EE949A2642141709 + diff --git a/crypto_condor/vectors/_mlkem/pb2/.gitkeep b/crypto_condor/vectors/_mlkem/pb2/.gitkeep new file mode 100644 index 0000000..e69de29 diff --git a/docs/source/_static/dilithium-vectors-warning.rst.txt b/docs/source/_static/dilithium-vectors-warning.rst.txt deleted file mode 100644 index bbd3d43..0000000 --- a/docs/source/_static/dilithium-vectors-warning.rst.txt +++ /dev/null @@ -1,13 +0,0 @@ -.. caution:: - - Currently, |cc| uses test vectors for version `3.1 - `_ of Dilithium, which - is the latest release of the reference implementation. This version differs slightly - from the one submitted to the third round of the NIST competition. It also differs - from the draft for `ML-DSA `_, the NIST - standard. The test vectors are not compatible between versions. - - As 3.1 is the latest release, we do not intend to support version 3. Regarding - ML-DSA, it is currently a draft, so it is subject to change, and NIST hasn't - released test vectors for it. Once the final version is published with accompanying - vectors it will integrated into |cc|. \ No newline at end of file diff --git a/docs/source/conf.py b/docs/source/conf.py index ff10295..9da51fb 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -112,8 +112,8 @@ # -- Bibtex options ---------------------------------------------------------- bibtex_bibfiles = [ - "method/kyber.bib", - "method/dilithium.bib", + "method/mlkem.bib", + "method/mldsa.bib", "method/falcon.bib", "method/sphincs.bib", ] diff --git a/docs/source/harness-api/Kyber.rst b/docs/source/harness-api/Kyber.rst deleted file mode 100644 index 11284a4..0000000 --- a/docs/source/harness-api/Kyber.rst +++ /dev/null @@ -1,106 +0,0 @@ -Kyber ------ - -.. include:: ../_static/kyber-version-warning.rst.txt - -In Kyber, the size of the public and private keys, the ciphertext, and shared secret -[#]_ is fixed. These parameters are still provided to the CC function, but if the -implementation you are testing doesn't require them, that may be the reason why. - -.. csv-table:: Parameter sets and object sizes (in bytes) - :header-rows: 1 - :stub-columns: 1 - - "Parameter set", "Private key", "Public Key", "Ciphertext", "Shared secret" - ``512``, 1632, 800, 768, 32 - ``512_90s``, 1632, 800, 768, 32 - ``768``, 2400, 1184, 1088, 32 - ``768_90s``, 2400, 1184, 1088, 32 - ``1024``, 3168, 1568, 1568, 32 - ``1024_90s``, 3168, 1568, 1568, 32 - -Encapsulate -^^^^^^^^^^^ - -To test a function that encapsulates with Kyber, its name must conform to the following convention: - -.. code:: - - CC_Kyber__encapsulate - -Its signature must be: - -.. c:function:: void Kyber_encapsulate(\ - uint8_t *ct, size_t ct_sz,\ - uint8_t *ss, size_t ss_sz,\ - const uint8_t *pk, size_t pk_sz) - - :param ct: **[Out]** A buffer to store the resulting ciphertext. - :param ct_sz: **[In]** The size of the ciphertext buffer. - :param ss: **[Out]** A buffer to store the shared secret. - :param ss_sz: **[In]** The size of the shared secret buffer. - :param pk: **[In]** The public key. - :param pk_sz: **[In]** The size of the public key. - -Examples: - -* Kyber512: - -.. code:: c - - void CC_Kyber_512_encapsulate(uint8_t *ct, size_t ct_sz, - uint8_t *ss, size_t ss_sz, - const uint8_t *pk, size_t pk_sz); - -* Kyber1024-90s: - -.. code:: c - - void CC_Kyber_1024_90s_encapsulate(uint8_t *ct, size_t ct_sz, - uint8_t *ss, size_t ss_sz, - const uint8_t *pk, size_t pk_sz); - -Decapsulate -^^^^^^^^^^^ - -To test a function that decapsulates with Kyber, its name must conform to the following convention: - -.. code:: - - CC_Kyber__decapsulate - -Its signature must be: - -.. c:function:: int Kyber_decapsulate(\ - uint8_t *ss, size_t ss_sz,\ - const uint8_t *ct, size_t ct_sz,\ - const uint8_t *pk, size_t pk_sz) - - :param ss: **[Out]** A buffer to store the decapsulated shared secret. - :param ss_sz: **[In]** The size of the shared secret buffer. - :param ct: **[In]** The ciphertext to decapsulate. - :param ct_sz: **[In]** The size of the ciphertext. - :param sk: **[In]** The secret key. - :param sk_sz: **[In]** The size of the secret key. - -Examples: - -* Kyber512: - -.. code:: c - - void CC_Kyber_512_decapsulate(uint8_t *ss, size_t ss_sz, - const uint8_t *ct, size_t ct_sz, - const uint8_t *sk, size_t sk_sz); - -* Kyber1024-90s: - -.. code:: c - - void CC_Kyber_1024_90s_decapsulate(uint8_t *ss, size_t ss_sz, - const uint8_t *ct, size_t ct_sz, - const uint8_t *sk, size_t sk_sz); - ----- - -.. [#] In the third round submission, the size of the shared secret is actually considered variable, but in the reference implementation it is defined as 32 bytes so we consider it fixed. diff --git a/docs/source/harness-api/Dilithium.rst b/docs/source/harness-api/MLDSA.rst similarity index 55% rename from docs/source/harness-api/Dilithium.rst rename to docs/source/harness-api/MLDSA.rst index c2a8711..db7a3e9 100644 --- a/docs/source/harness-api/Dilithium.rst +++ b/docs/source/harness-api/MLDSA.rst @@ -1,10 +1,8 @@ -Dilithium ---------- +ML-DSA +------ -.. include:: ../_static/dilithium-vectors-warning.rst.txt - -In Dilithium, the size of the public key, secret keys, and signature is fixed. These -parameters are still provided to the hooked function, but if the implementation you are +In ML-DSA, the size of the public key, secret key, and signature is fixed. These +parameters are still provided to the implementation, but if the implementation you are testing doesn't require them, that may be the reason why. .. csv-table:: Parameter sets and object sizes (in bytes) @@ -12,27 +10,27 @@ testing doesn't require them, that may be the reason why. :stub-columns: 1 "Parameter set", "Public key", "Private key", "Signature" - ``2``, 1312, 2528, 2420 - ``3``, 1952, 4000, 3293 - ``5``, 2592, 4864, 4595 + ``44``, 1312, 2560, 2420 + ``65``, 1952, 4032, 3309 + ``77``, 2592, 4896, 4627 Sign ^^^^ -To test a function that signs with Dilithium, its name must conform to the following convention: +To test a function that signs with ML-DSA, its name must conform to the following convention: .. code:: - CC_Dilithium__sign + CC_MLDSA__sign Its signature must be: -.. c:function:: void Dilithium_sign(\ +.. c:function:: void MLDSA_sign(\ uint8_t *sig, size_t siglen,\ const uint8_t *msg, size_t msglen,\ const uint8_t *sk, size_t sklen) - Signs a message with Dilithium. + Signs a message with MLDSA. :param sig: **[Out]** A buffer to store the resulting signature. :param siglen: **[In]** The size of the signature buffer in bytes. @@ -43,26 +41,26 @@ Its signature must be: Example: -* Dilithium2: +* ML-DSA-44: .. code:: c - void CC_Dilithium_2_sign(uint8_t *sig, size_t siglen, - const uint8_t *msg, size_t msglen, - const uint8_t *sk, size_t sklen); + void CC_MLDSA_44_sign(uint8_t *sig, size_t siglen, + const uint8_t *msg, size_t msglen, + const uint8_t *sk, size_t sklen); Verify ^^^^^^ -To test a function that verifies Dilithium signatures, its name must conform to the following convention: +To test a function that verifies ML-DSA signatures, its name must conform to the following convention: .. code:: - CC_Dilithium__verify + CC_MLDSA__verify Its signature must be: -.. c:function:: int Dilithium_verify(\ +.. c:function:: int MLDSA_verify(\ const uint8_t *sig, size_t siglen,\ const uint8_t *msg, size_t msglen,\ const uint8_t *pk, size_t pklen) @@ -79,10 +77,10 @@ Its signature must be: Example: -* Dilithium2: +* ML-DSA-44: .. code:: c - int CC_Dilithium_2_verify(const uint8_t *sig, size_t siglen, - const uint8_t *msg, size_t msglen, - const uint8_t *pk, size_t pklen); + int CC_MLDSA_44_verify(const uint8_t *sig, size_t siglen, + const uint8_t *msg, size_t msglen, + const uint8_t *pk, size_t pklen); diff --git a/docs/source/harness-api/MLKEM.rst b/docs/source/harness-api/MLKEM.rst new file mode 100644 index 0000000..78053d8 --- /dev/null +++ b/docs/source/harness-api/MLKEM.rst @@ -0,0 +1,82 @@ +ML-KEM +------ + +In ML-KEM, the size of the public and private keys, the ciphertext, and shared secret is +fixed. These values are still passed to the implementation, but if the implementation +you are testing doesn't require them, that may be the reason why. + +.. csv-table:: Parameter sets and object sizes (in bytes) + :header-rows: 1 + :stub-columns: 1 + + "Parameter set", "Private key", "Public Key", "Ciphertext", "Shared secret" + ``512``, 1632, 800, 768, 32 + ``768``, 2400, 1184, 1088, 32 + ``1024``, 3168, 1568, 1568, 32 + +Encapsulation +^^^^^^^^^^^^^ + +To test a function that encapsulates with ML-KEM, its name must conform to the following convention: + +.. code:: + + CC_MLKEM__encaps + +Its signature must be: + +.. c:function:: void MLKEM_encaps(\ + uint8_t *ct, size_t ctlen,\ + uint8_t *ss, size_t sslen,\ + const uint8_t *pk, size_t pklen) + + :param ct: **[Out]** A buffer to store the resulting ciphertext. + :param ctlen: **[In]** The size of the ciphertext buffer. + :param ss: **[Out]** A buffer to store the shared secret. + :param sslen: **[In]** The size of the shared secret buffer. + :param pk: **[In]** The public key. + :param pklen: **[In]** The size of the public key. + +Examples: + +* ML-KEM-512: + +.. code:: c + + void CC_MLKEM_512_encaps(uint8_t *ct, size_t ctlen, + uint8_t *ss, size_t sslen, + const uint8_t *pk, size_t pklen); + +Decapsulation +^^^^^^^^^^^^^ + +To test a function that decapsulates with ML-KEM, its name must conform to the following convention: + +.. code:: + + CC_MLKEM__decaps + +Its signature must be: + +.. c:function:: int MLKEM_decaps(\ + uint8_t *ss, size_t sslen,\ + const uint8_t *ct, size_t ctlen,\ + const uint8_t *pk, size_t pklen) + + :param ss: **[Out]** A buffer to store the decapsulated shared secret. + :param sslen: **[In]** The size of the shared secret buffer. + :param ct: **[In]** The ciphertext to decapsulate. + :param ctlen: **[In]** The size of the ciphertext. + :param sk: **[In]** The secret key. + :param sklen: **[In]** The size of the secret key. + +Examples: + +* ML-KEM-512: + +.. code:: c + + void CC_MLKEM_512_decaps(uint8_t *ss, size_t sslen, + const uint8_t *ct, size_t ctlen, + const uint8_t *sk, size_t sklen); + diff --git a/docs/source/harness-api/index.rst b/docs/source/harness-api/index.rst index 8a674e6..0ea34af 100644 --- a/docs/source/harness-api/index.rst +++ b/docs/source/harness-api/index.rst @@ -16,11 +16,6 @@ will expose some functions, whose name starts with ``CC``, that wrap a given ope of the implementation. Their function signature is established by |cc| so that it can run the functions with the corresponding test vectors. -An example -^^^^^^^^^^ - - - How it works ------------ @@ -38,7 +33,7 @@ Supported primitives AES ChaCha20 - Dilithium - Kyber + MLDSA + MLKEM SHA SHAKE diff --git a/crypto_condor/resources/guides/Dilithium.md b/docs/source/method/MLDSA.md similarity index 97% rename from crypto_condor/resources/guides/Dilithium.md rename to docs/source/method/MLDSA.md index 9fd274d..231d3d0 100644 --- a/crypto_condor/resources/guides/Dilithium.md +++ b/docs/source/method/MLDSA.md @@ -1,4 +1,8 @@ -# CRYSTALS-Dilithium +# ML-DSA + +:::{attention} Work in progress +We are currently updating the CRYSTALS-Dilithium guide to ML-DSA. +::: [Dilithium](https://pq-crystals.org/dilithium/index.shtml) is "a digital signature scheme that is strongly secure under chosen message attacks based on @@ -155,5 +159,5 @@ Other attacks: ## Bibliography -:::{bibliography} dilithium.bib +:::{bibliography} mldsa.bib ::: diff --git a/docs/source/method/Kyber.md b/docs/source/method/MLKEM.md similarity index 97% rename from docs/source/method/Kyber.md rename to docs/source/method/MLKEM.md index a8362bc..1d70522 100644 --- a/docs/source/method/Kyber.md +++ b/docs/source/method/MLKEM.md @@ -1,4 +1,8 @@ -# CRYSTALS-Kyber +# ML-KEM + +:::{attention} Work in progress +We are currently updating the CRYSTALS-Kyber guide to ML-KEM. +::: [Kyber](https://pq-crystals.org/kyber/index.shtml) is "an IND-CCA2-secure key encapsulation mechanism (KEM), whose security is based on the hardness of @@ -143,5 +147,5 @@ Leakage of Barrett Reduction, {cite}`sim_chosen-ciphertext_2022`. ## Bibliography -:::{bibliography} kyber.bib +:::{bibliography} mlkem.bib ::: diff --git a/docs/source/method/dilithium.bib b/docs/source/method/mldsa.bib similarity index 100% rename from docs/source/method/dilithium.bib rename to docs/source/method/mldsa.bib diff --git a/docs/source/method/kyber.bib b/docs/source/method/mlkem.bib similarity index 100% rename from docs/source/method/kyber.bib rename to docs/source/method/mlkem.bib diff --git a/docs/source/method/post-quantum.md b/docs/source/method/post-quantum.md index 50d33c2..556b643 100644 --- a/docs/source/method/post-quantum.md +++ b/docs/source/method/post-quantum.md @@ -16,10 +16,10 @@ This guide has entries for each: :::{toctree} :titlesonly: -Dilithium Falcon SPHINCS+ -Kyber +MLDSA +MLKEM ::: [^kem]: @@ -46,7 +46,7 @@ three different signatures schemes to compare. :stub-columns: 1 - - - - [Dilithium](/method/Dilithium) + - [Dilithium](/method/MLDSA) - [Falcon](/method/Falcon) - [SPHINCS+](/method/SPHINCS+) - - Based on diff --git a/docs/source/python-api/primitives/Dilithium.rst b/docs/source/python-api/primitives/Dilithium.rst deleted file mode 100644 index 689711c..0000000 --- a/docs/source/python-api/primitives/Dilithium.rst +++ /dev/null @@ -1,44 +0,0 @@ -:tocdepth: 3 - -Dilithium -========= - -.. include:: ../../_static/dilithium-vectors-warning.rst.txt - -.. currentmodule:: crypto_condor.primitives.Dilithium - -Supported parameters --------------------- - -Dilithium has three parameter sets: these are supported and defined by :enum:`Paramset`. - -.. autoenum:: Paramset - -Test a signing function ------------------------ - -.. autofunction:: test_sign - -Test a verifying function -------------------------- - -.. autofunction:: test_verify - -Run a wrapper -------------- - -.. note:: - - Available wrappers are defined by :enum:`Wrapper`. - -.. autofunction:: run_wrapper - -.. autoenum:: Wrapper - -Protocols ---------- - -.. autoprotocol:: Sign - -.. autoprotocol:: Verify - diff --git a/docs/source/python-api/primitives/Kyber.rst b/docs/source/python-api/primitives/Kyber.rst deleted file mode 100644 index 9cafa7c..0000000 --- a/docs/source/python-api/primitives/Kyber.rst +++ /dev/null @@ -1,46 +0,0 @@ -:tocdepth: 3 - -Kyber -===== - -.. automodule:: crypto_condor.primitives.Kyber - -.. include:: ../../_static/kyber-version-warning.rst.txt - -.. currentmodule:: crypto_condor.primitives.Kyber - -Supported parameters --------------------- - -Kyber has six parameter sets: these are supported and defined by :enum:`Paramset`. - -.. autoenum:: Paramset - -Test an encapsulation function ------------------------------- - -.. autofunction:: test_encapsulate - -Test a decapsulation function ------------------------------ - -.. autofunction:: test_decapsulate - -Run a wrapper -------------- - -.. note:: - - Available wrappers are defined by :enum:`Wrapper`. - -.. autofunction:: run_wrapper - -.. autoenum:: Wrapper - -Protocols ---------- - -.. autoprotocol:: Encapsulate - -.. autoprotocol:: Decapsulate - diff --git a/docs/source/python-api/primitives/MLDSA.rst b/docs/source/python-api/primitives/MLDSA.rst new file mode 100644 index 0000000..8ab1d5a --- /dev/null +++ b/docs/source/python-api/primitives/MLDSA.rst @@ -0,0 +1,52 @@ +:tocdepth: 3 + +ML-DSA +====== + +How to use the :mod:`crypto_condor.primitives.MLDSA` module to test implementations of +:doc:`MLDSA `. + +.. currentmodule:: crypto_condor.primitives.MLDSA + +Test signing +------------ + +.. autofunction:: test_sign + +Test signature verification +--------------------------- + +.. autofunction:: test_verify + +Parameters +---------- + +.. autoenum:: Paramset + :members: + +Protocols +--------- + +.. autoprotocol:: Sign + +.. autoprotocol:: Verify + +Test vectors +------------ + +The following section describes the internal test vectors classes, which are protobuf +Python classes. + +.. hint:: + + The autodoc extension can't properly document these clases so we include the + ``.proto`` file to show the different fields each class has. IDEs should be able to + use the included ``.pyi`` files to provide auto-completion and type checking. + +.. class:: MldsaVectors + + Protobuf class that stores test vectors. See the description below. + +.. literalinclude:: ../../../../crypto_condor/vectors/_mldsa/mldsa.proto + :language: proto + diff --git a/docs/source/python-api/primitives/MLKEM.rst b/docs/source/python-api/primitives/MLKEM.rst new file mode 100644 index 0000000..75e78ef --- /dev/null +++ b/docs/source/python-api/primitives/MLKEM.rst @@ -0,0 +1,54 @@ +:tocdepth: 3 + +ML-KEM +====== + +How to use the :mod:`crypto_condor.primitives.MLKEM` module to test implementations of +:doc:`MLKEM `. + +.. currentmodule:: crypto_condor.primitives.MLKEM + +Test encapsulation +------------------ + +.. autofunction:: test_encaps + +.. autofunction:: test_output_encaps + +Test decapsulation +------------------ + +.. autofunction:: test_decaps + +Parameters +---------- + +.. autoenum:: Paramset + :members: + +Protocols +--------- + +.. autoprotocol:: Encaps + +.. autoprotocol:: Decaps + +Test vectors +------------ + +The following section describes the internal test vectors classes, which are protobuf +Python classes. + +.. hint:: + + The autodoc extension can't properly document these clases so we include the + ``.proto`` file to show the different fields each class has. IDEs should be able to + use the included ``.pyi`` files to provide auto-completion and type checking. + +.. class:: MlkemVectors + + Protobuf class that stores test vectors. See the description below. + +.. literalinclude:: ../../../../crypto_condor/vectors/_mlkem/mlkem.proto + :language: proto + diff --git a/docs/source/python-api/primitives/index.rst b/docs/source/python-api/primitives/index.rst index 171c867..eba96a7 100644 --- a/docs/source/python-api/primitives/index.rst +++ b/docs/source/python-api/primitives/index.rst @@ -6,11 +6,11 @@ Primitives AES ChaCha20 - Dilithium ECDH ECDSA HMAC - Kyber + MLDSA + MLKEM RSAES RSASSA SHA diff --git a/docs/source/python-api/vectors/Dilithium.rst b/docs/source/python-api/vectors/Dilithium.rst deleted file mode 100644 index 14b9b04..0000000 --- a/docs/source/python-api/vectors/Dilithium.rst +++ /dev/null @@ -1,11 +0,0 @@ -:tocdepth: 2 - -Dilithium test vectors -====================== - -.. include:: ../../_static/dilithium-vectors-warning.rst.txt - -.. automodule:: crypto_condor.vectors.Dilithium - :members: - :show-inheritance: - :member-order: groupwise \ No newline at end of file diff --git a/docs/source/python-api/vectors/Kyber.rst b/docs/source/python-api/vectors/Kyber.rst deleted file mode 100644 index 2a253b1..0000000 --- a/docs/source/python-api/vectors/Kyber.rst +++ /dev/null @@ -1,11 +0,0 @@ -:tocdepth: 2 - -Kyber test vectors -================== - -.. include:: ../../_static/kyber-version-warning.rst.txt - -.. automodule:: crypto_condor.vectors.Kyber - :members: - :show-inheritance: - :member-order: groupwise \ No newline at end of file diff --git a/docs/source/python-api/vectors/index.rst b/docs/source/python-api/vectors/index.rst index 19919b9..e16b73e 100644 --- a/docs/source/python-api/vectors/index.rst +++ b/docs/source/python-api/vectors/index.rst @@ -13,9 +13,7 @@ Test vectors come from various sources. AES ChaCha20 - Dilithium ECDSA - Kyber RSAES RSASSA SHA diff --git a/pyproject.toml b/pyproject.toml index 3cccc9d..585ca6f 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -14,27 +14,26 @@ repository = "https://github.com/quarkslab/crypto-condor" documentation = "https://quarkslab.github.io/crypto-condor/latest/index.html" keywords = ["cryptography", "compliance"] include = [ - "crypto_condor/primitives/_aes/main", "crypto_condor/vectors/_aes/dat/*.dat", - "crypto_condor/vectors/_dilithium/dat/*.dat", "crypto_condor/vectors/_ECDH/dat/*.dat", "crypto_condor/vectors/_ecdsa/dat/*.dat", "crypto_condor/vectors/_falcon/dat/*.dat", "crypto_condor/vectors/_HMAC/dat/*.dat", - "crypto_condor/vectors/_kyber/dat/*.dat", + "crypto_condor/vectors/_mldsa/pb2/*.pb2", + "crypto_condor/vectors/_mlkem/pb2/*.pb2", "crypto_condor/vectors/_rsa/dat/*.dat", "crypto_condor/vectors/_sha/dat/*.dat", "crypto_condor/primitives/_testu01/examples/excel.dat", ] exclude = [ "crypto_condor/vectors/_aes/rsp", - "crypto_condor/vectors/_dilithium/rsp", "crypto_condor/vectors/_ECDH/src", "crypto_condor/vectors/_ecdsa/rsp", "crypto_condor/vectors/_falcon/rsp", "crypto_condor/vectors/_HMAC/rsp", "crypto_condor/vectors/_HMAC/wycheproof", - "crypto_condor/vectors/_kyber/rsp", + "crypto_condor/vectors/_mldsa/**/*.rsp", + "crypto_condor/vectors/_mlkem/**/*.rsp", "crypto_condor/vectors/_rsa/rsp", "crypto_condor/vectors/_sha/rsp", "crypto_condor/vectors/_sphincs/rsp", diff --git a/tests/cli/test_run.py b/tests/cli/test_run.py index 5b077c1..5edc48a 100644 --- a/tests/cli/test_run.py +++ b/tests/cli/test_run.py @@ -426,48 +426,6 @@ def test_examples(self, example: str, scheme: str, sha: str, mgf_sha: str | None assert result.exit_code == 0 -class TestKyber: - """Tests Kyber wrappers.""" - - @pytest.mark.parametrize( - ("paramset", "lang", "example"), [("Kyber512", "Python", "1")] - ) - def test_examples(self, paramset: str, lang: str, example: str, tmp_path: Path): - """Tests Kyber examples.""" - with runner.isolated_filesystem(tmp_path): - wrap_result = runner.invoke( - app, ["get-wrapper", "Kyber", "--language", lang, "--example", example] - ) - assert wrap_result.exit_code == 0, "Could not get wrapper" - - args = ["test", "wrapper", "Kyber", lang, paramset, "--no-save"] - result = runner.invoke(app, args) - print(result.output) - assert result.exit_code == 0 - - -class TestDilithium: - """Tests Dilithium wrappers.""" - - @pytest.mark.xfail(reason="Dilithium tests fail in CI.") - @pytest.mark.parametrize( - ("paramset", "lang", "example"), [("dilithium2", "Python", "1")] - ) - def test_examples(self, paramset: str, lang: str, example: str, tmp_path: Path): - """Tests Dilithium examples.""" - with runner.isolated_filesystem(tmp_path): - wrap_result = runner.invoke( - app, - ["get-wrapper", "Dilithium", "--language", lang, "--example", example], - ) - assert wrap_result.exit_code == 0, "Could not get wrapper" - - args = ["test", "wrapper", "Dilithium", lang, paramset, "--no-save"] - result = runner.invoke(app, args) - print(result.output) - assert result.exit_code == 0 - - class TestHmac: """Tests HMAC wrapper.""" @@ -505,3 +463,49 @@ def test_examples(self, lang: str, example: str, curve: str, tmp_path: Path): result = runner.invoke(app, args) print(result.output) assert result.exit_code == 0, "Wrapper failed" + + +class TestMldsa: + """Tests ML-DSA wrappers.""" + + @pytest.mark.parametrize(("lang", "example"), [("Python", "1")]) + def test_examples(self, lang: str, example: str, tmp_path: Path): + """Tests ML-DSA examples.""" + with runner.isolated_filesystem(tmp_path): + wrap_result = runner.invoke( + app, ["get-wrapper", "MLDSA", "--language", lang, "--example", example] + ) + assert wrap_result.exit_code == 0, "Could not get ML-DSA wrapper" + args = [ + "test", + "wrapper", + "MLDSA", + f"MLDSA_wrapper_example_{example}.py", + "--no-save", + ] + result = runner.invoke(app, args) + print(result.output) + assert result.exit_code == 0, "Wrapper failed" + + +class TestMlkem: + """Tests ML-KEM wrappers.""" + + @pytest.mark.parametrize(("lang", "example"), [("Python", "1")]) + def test_examples(self, lang: str, example: str, tmp_path: Path): + """Tests ML-KEM examples.""" + with runner.isolated_filesystem(tmp_path): + wrap_result = runner.invoke( + app, ["get-wrapper", "MLKEM", "--language", lang, "--example", example] + ) + assert wrap_result.exit_code == 0, "Could not get ML-KEM wrapper" + args = [ + "test", + "wrapper", + "MLKEM", + f"MLKEM_wrapper_example_{example}.py", + "--no-save", + ] + result = runner.invoke(app, args) + print(result.output) + assert result.exit_code == 0, "Wrapper failed" diff --git a/tests/harness/AES.harness.c b/tests/harness/AES.harness.c index 6072aec..c687ade 100644 --- a/tests/harness/AES.harness.c +++ b/tests/harness/AES.harness.c @@ -4,6 +4,21 @@ #include #include +#define AES_BLOCKLEN 16 + +struct AES_ctx { + uint8_t round_key[240]; // Array for the expanded key. Expanding a 256-bit + // key requires an array of 240 bytes. + + uint8_t + Iv[AES_BLOCKLEN]; // The IV is the same size as a block, except for CTR + // mode where it's 12 bytes long. As the low 4 bytes are + // ignored, we can still use a 16-byte array. + + uint8_t Nk; // The number of 32-bit words comprising the cipher key. + uint8_t Nr; // The number of rounds, depends on key length. +}; + void *get_lib_handle(const char lib_name[]) { void *handle; char libdir[PATH_MAX]; diff --git a/tests/harness/Dilithium.harness.c b/tests/harness/Dilithium.harness.c deleted file mode 100644 index 292abfa..0000000 --- a/tests/harness/Dilithium.harness.c +++ /dev/null @@ -1,173 +0,0 @@ -#include -#include -#include -#include -#include - -void CC_Dilithium_2_sign(uint8_t *sig, size_t siglen, const uint8_t *m, - size_t mlen, const uint8_t *sk, size_t sklen) { - void *handle; - char libdir[PATH_MAX]; - - snprintf(libdir, PATH_MAX, "%s/%s", getenv("HOME"), - ".local/share/crypto-condor/Dilithium/dilithium/ref/" - "libpqcrystals_dilithium2_ref.so"); - handle = dlopen(libdir, RTLD_LAZY); - if (!handle) { - fprintf(stderr, "dlopen error: %s\n", dlerror()); - exit(1); - } - - void (*sign)(uint8_t *, size_t *, const uint8_t *, const size_t, - const uint8_t *); - sign = dlsym(handle, "pqcrystals_dilithium2_ref_signature"); - if (!sign) { - fprintf(stderr, "dlsym error: %s\n", dlerror()); - dlclose(handle); - exit(1); - } - - size_t r_siglen; - sign(sig, &r_siglen, m, mlen, sk); - dlclose(handle); -} - -void CC_Dilithium_3_sign(uint8_t *sig, size_t siglen, const uint8_t *m, - size_t mlen, const uint8_t *sk, size_t sklen) { - void *handle; - char libdir[PATH_MAX]; - - snprintf(libdir, PATH_MAX, "%s/%s", getenv("HOME"), - ".local/share/crypto-condor/Dilithium/dilithium/ref/" - "libpqcrystals_dilithium3_ref.so"); - handle = dlopen(libdir, RTLD_LAZY); - if (!handle) { - fprintf(stderr, "dlopen error: %s\n", dlerror()); - exit(1); - } - - void (*sign)(uint8_t *, size_t *, const uint8_t *, const size_t, - const uint8_t *); - sign = dlsym(handle, "pqcrystals_dilithium3_ref_signature"); - if (!sign) { - fprintf(stderr, "dlsym error: %s\n", dlerror()); - dlclose(handle); - exit(1); - } - - size_t r_siglen; - sign(sig, &r_siglen, m, mlen, sk); - dlclose(handle); -} - -void CC_Dilithium_5_sign(uint8_t *sig, size_t siglen, const uint8_t *m, - size_t mlen, const uint8_t *sk, size_t sklen) { - void *handle; - char libdir[PATH_MAX]; - - snprintf(libdir, PATH_MAX, "%s/%s", getenv("HOME"), - ".local/share/crypto-condor/Dilithium/dilithium/ref/" - "libpqcrystals_dilithium5_ref.so"); - handle = dlopen(libdir, RTLD_LAZY); - if (!handle) { - fprintf(stderr, "dlopen error: %s\n", dlerror()); - exit(1); - } - - void (*sign)(uint8_t *, size_t *, const uint8_t *, const size_t, - const uint8_t *); - sign = dlsym(handle, "pqcrystals_dilithium5_ref_signature"); - if (!sign) { - fprintf(stderr, "dlsym error: %s\n", dlerror()); - dlclose(handle); - exit(1); - } - - size_t r_siglen; - sign(sig, &r_siglen, m, mlen, sk); - dlclose(handle); -} - -int CC_Dilithium_2_verify(const uint8_t *sig, size_t siglen, const uint8_t *m, - size_t mlen, const uint8_t *pk, size_t pklen) { - void *handle; - char libdir[PATH_MAX]; - - snprintf(libdir, PATH_MAX, "%s/%s", getenv("HOME"), - ".local/share/crypto-condor/Dilithium/dilithium/ref/" - "libpqcrystals_dilithium2_ref.so"); - handle = dlopen(libdir, RTLD_LAZY); - if (!handle) { - fprintf(stderr, "dlopen error: %s\n", dlerror()); - exit(1); - } - - int (*verify)(const uint8_t *, size_t, const uint8_t *, const size_t, - const uint8_t *); - verify = dlsym(handle, "pqcrystals_dilithium2_ref_verify"); - if (!verify) { - fprintf(stderr, "dlsym error: %s\n", dlerror()); - dlclose(handle); - exit(1); - } - - int res = verify(sig, siglen, m, mlen, pk); - dlclose(handle); - return res; -} - -int CC_Dilithium_3_verify(const uint8_t *sig, size_t siglen, const uint8_t *m, - size_t mlen, const uint8_t *pk, size_t pklen) { - void *handle; - char libdir[PATH_MAX]; - - snprintf(libdir, PATH_MAX, "%s/%s", getenv("HOME"), - ".local/share/crypto-condor/Dilithium/dilithium/ref/" - "libpqcrystals_dilithium3_ref.so"); - handle = dlopen(libdir, RTLD_LAZY); - if (!handle) { - fprintf(stderr, "dlopen error: %s\n", dlerror()); - exit(1); - } - - int (*verify)(const uint8_t *, size_t, const uint8_t *, const size_t, - const uint8_t *); - verify = dlsym(handle, "pqcrystals_dilithium3_ref_verify"); - if (!verify) { - fprintf(stderr, "dlsym error: %s\n", dlerror()); - dlclose(handle); - exit(1); - } - - int res = verify(sig, siglen, m, mlen, pk); - dlclose(handle); - return res; -} - -int CC_Dilithium_5_verify(const uint8_t *sig, size_t siglen, const uint8_t *m, - size_t mlen, const uint8_t *pk, size_t pklen) { - void *handle; - char libdir[PATH_MAX]; - - snprintf(libdir, PATH_MAX, "%s/%s", getenv("HOME"), - ".local/share/crypto-condor/Dilithium/dilithium/ref/" - "libpqcrystals_dilithium5_ref.so"); - handle = dlopen(libdir, RTLD_LAZY); - if (!handle) { - fprintf(stderr, "dlopen error: %s\n", dlerror()); - exit(1); - } - - int (*verify)(const uint8_t *, size_t, const uint8_t *, const size_t, - const uint8_t *); - verify = dlsym(handle, "pqcrystals_dilithium5_ref_verify"); - if (!verify) { - fprintf(stderr, "dlsym error: %s\n", dlerror()); - dlclose(handle); - exit(1); - } - - int res = verify(sig, siglen, m, mlen, pk); - dlclose(handle); - return res; -} diff --git a/tests/harness/Kyber.harness.c b/tests/harness/Kyber.harness.c deleted file mode 100644 index 06a7786..0000000 --- a/tests/harness/Kyber.harness.c +++ /dev/null @@ -1,148 +0,0 @@ -#include -#include -#include -#include -#include - -void *get_lib_handle(const char lib_name[]) { - void *handle; - char libdir[PATH_MAX]; - - snprintf(libdir, PATH_MAX, "%s/%s/%s", getenv("HOME"), - ".local/share/crypto-condor/Kyber", lib_name); - handle = dlopen(libdir, RTLD_LAZY); - if (!handle) { - fprintf(stderr, "dlopen error: %s\n", dlerror()); - exit(EXIT_FAILURE); - } - return handle; -} - -void *get_func(void *handle, const char func_name[]) { - void *func; - func = dlsym(handle, func_name); - if (!func) { - fprintf(stderr, "dlsym error: %s\n", dlerror()); - dlclose(handle); - exit(EXIT_FAILURE); - } - return func; -} - -void CC_Kyber_512_encapsulate(uint8_t *ct, size_t ct_sz, uint8_t *ss, - size_t ss_sz, const uint8_t *pk, size_t pk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber512_ref.so"); - void (*enc)(uint8_t *, uint8_t *, const uint8_t *); - enc = get_func(handle, "pqcrystals_kyber512_ref_enc"); - enc(ct, ss, pk); - dlclose(handle); -} -void CC_Kyber_768_encapsulate(uint8_t *ct, size_t ct_sz, uint8_t *ss, - size_t ss_sz, const uint8_t *pk, size_t pk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber768_ref.so"); - void (*enc)(uint8_t *, uint8_t *, const uint8_t *); - enc = get_func(handle, "pqcrystals_kyber768_ref_enc"); - enc(ct, ss, pk); - dlclose(handle); -} -void CC_Kyber_1024_encapsulate(uint8_t *ct, size_t ct_sz, uint8_t *ss, - size_t ss_sz, const uint8_t *pk, size_t pk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber1024_ref.so"); - void (*enc)(uint8_t *, uint8_t *, const uint8_t *); - enc = get_func(handle, "pqcrystals_kyber1024_ref_enc"); - enc(ct, ss, pk); - dlclose(handle); -} -void CC_Kyber_512_90s_encapsulate(uint8_t *ct, size_t ct_sz, uint8_t *ss, - size_t ss_sz, const uint8_t *pk, - size_t pk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber512-90s_ref.so"); - void (*enc)(uint8_t *, uint8_t *, const uint8_t *); - enc = get_func(handle, "pqcrystals_kyber512_90s_ref_enc"); - enc(ct, ss, pk); - dlclose(handle); -} -void CC_Kyber_768_90s_encapsulate(uint8_t *ct, size_t ct_sz, uint8_t *ss, - size_t ss_sz, const uint8_t *pk, - size_t pk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber768-90s_ref.so"); - void (*enc)(uint8_t *, uint8_t *, const uint8_t *); - enc = get_func(handle, "pqcrystals_kyber768_90s_ref_enc"); - enc(ct, ss, pk); - dlclose(handle); -} -void CC_Kyber_1024_90s_encapsulate(uint8_t *ct, size_t ct_sz, uint8_t *ss, - size_t ss_sz, const uint8_t *pk, - size_t pk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber1024-90s_ref.so"); - void (*enc)(uint8_t *, uint8_t *, const uint8_t *); - enc = get_func(handle, "pqcrystals_kyber1024_90s_ref_enc"); - enc(ct, ss, pk); - dlclose(handle); -} - -/* DECAPSULATE */ - -void CC_Kyber_512_decapsulate(uint8_t *ss, size_t ss_sz, const uint8_t *ct, - size_t ct_sz, const uint8_t *sk, size_t sk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber512_ref.so"); - void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); - dec = get_func(handle, "pqcrystals_kyber512_ref_dec"); - dec(ss, ct, sk); - dlclose(handle); -} -void CC_Kyber_768_decapsulate(uint8_t *ss, size_t ss_sz, const uint8_t *ct, - size_t ct_sz, const uint8_t *sk, size_t sk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber768_ref.so"); - void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); - dec = get_func(handle, "pqcrystals_kyber768_ref_dec"); - dec(ss, ct, sk); - dlclose(handle); -} -void CC_Kyber_1024_decapsulate(uint8_t *ss, size_t ss_sz, const uint8_t *ct, - size_t ct_sz, const uint8_t *sk, size_t sk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber1024_ref.so"); - void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); - dec = get_func(handle, "pqcrystals_kyber1024_ref_dec"); - dec(ss, ct, sk); - dlclose(handle); -} -void CC_Kyber_512_90s_decapsulate(uint8_t *ss, size_t ss_sz, const uint8_t *ct, - size_t ct_sz, const uint8_t *sk, - size_t sk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber512-90s_ref.so"); - void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); - dec = get_func(handle, "pqcrystals_kyber512_90s_ref_dec"); - dec(ss, ct, sk); - dlclose(handle); -} -void CC_Kyber_768_90s_decapsulate(uint8_t *ss, size_t ss_sz, const uint8_t *ct, - size_t ct_sz, const uint8_t *sk, - size_t sk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber768-90s_ref.so"); - void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); - dec = get_func(handle, "pqcrystals_kyber768_90s_ref_dec"); - dec(ss, ct, sk); - dlclose(handle); -} -void CC_Kyber_1024_90s_decapsulate(uint8_t *ss, size_t ss_sz, const uint8_t *ct, - size_t ct_sz, const uint8_t *sk, - size_t sk_sz) { - - void *handle = get_lib_handle("libpqcrystals_kyber1024-90s_ref.so"); - void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); - dec = get_func(handle, "pqcrystals_kyber1024_90s_ref_dec"); - dec(ss, ct, sk); - dlclose(handle); -} diff --git a/tests/harness/MLDSA.harness.c b/tests/harness/MLDSA.harness.c new file mode 100644 index 0000000..4c3709f --- /dev/null +++ b/tests/harness/MLDSA.harness.c @@ -0,0 +1,90 @@ +#include +#include +#include +#include +#include + + +void *get_lib_handle(const char lib_name[]) { + void *handle; + char libdir[PATH_MAX]; + + snprintf(libdir, PATH_MAX, "%s/%s/%s", getenv("HOME"), + ".local/share/crypto-condor/MLDSA", lib_name); + handle = dlopen(libdir, RTLD_LAZY); + if (!handle) { + fprintf(stderr, "dlopen error: %s\n", dlerror()); + exit(EXIT_FAILURE); + } + return handle; +} + +void *get_func(void *handle, const char func_name[]) { + void *func; + func = dlsym(handle, func_name); + if (!func) { + fprintf(stderr, "dlsym error: %s\n", dlerror()); + dlclose(handle); + exit(EXIT_FAILURE); + } + return func; +} + + + +void CC_MLDSA_44_sign(uint8_t *sig, size_t siglen, const uint8_t *msg, size_t msglen, const uint8_t *ctx, size_t ctxlen, const uint8_t *sk, size_t sklen) { + void *handle = get_lib_handle("ML-DSA-44-ref.so"); + void (*sign)(uint8_t *, size_t *, const uint8_t *, const size_t, const uint8_t *, const size_t, const uint8_t *); + sign = get_func(handle, "pqcrystals_dilithium2_ref_signature"); + size_t r_siglen; + sign(sig, &r_siglen, msg, msglen, ctx, ctxlen, sk); + dlclose(handle); +} + +void CC_MLDSA_65_sign(uint8_t *sig, size_t siglen, const uint8_t *msg, size_t msglen, const uint8_t *ctx, size_t ctxlen, const uint8_t *sk, size_t sklen) { + void *handle = get_lib_handle("ML-DSA-65-ref.so"); + void (*sign)(uint8_t *, size_t *, const uint8_t *, const size_t, const uint8_t *, const size_t, const uint8_t *); + sign = get_func(handle, "pqcrystals_dilithium3_ref_signature"); + size_t r_siglen; + sign(sig, &r_siglen, msg, msglen, ctx, ctxlen, sk); + dlclose(handle); +} + +void CC_MLDSA_87_sign(uint8_t *sig, size_t siglen, const uint8_t *msg, size_t msglen, const uint8_t *ctx, size_t ctxlen, const uint8_t *sk, size_t sklen) { + void *handle = get_lib_handle("ML-DSA-87-ref.so"); + void (*sign)(uint8_t *, size_t *, const uint8_t *, const size_t, const uint8_t *, const size_t, const uint8_t *); + sign = get_func(handle, "pqcrystals_dilithium5_ref_signature"); + size_t r_siglen; + sign(sig, &r_siglen, msg, msglen, ctx, ctxlen, sk); + dlclose(handle); +} + +/* VERIFY */ + + +int CC_MLDSA_44_verify(const uint8_t *sig, size_t siglen, const uint8_t *msg, size_t msglen, const uint8_t *ctx, size_t ctxlen, const uint8_t *pk, size_t pklen) { + void *handle = get_lib_handle("ML-DSA-44-ref.so"); + int (*verify)(const uint8_t *, size_t, const uint8_t *, const size_t, const uint8_t *, const size_t, const uint8_t *); + verify = get_func(handle, "pqcrystals_dilithium2_ref_verify"); + int res = verify(sig, siglen, msg, msglen, ctx, ctxlen, pk); + dlclose(handle); + return res; +} + +int CC_MLDSA_65_verify(const uint8_t *sig, size_t siglen, const uint8_t *msg, size_t msglen, const uint8_t *ctx, size_t ctxlen, const uint8_t *pk, size_t pklen) { + void *handle = get_lib_handle("ML-DSA-65-ref.so"); + int (*verify)(const uint8_t *, size_t, const uint8_t *, const size_t, const uint8_t *, const size_t, const uint8_t *); + verify = get_func(handle, "pqcrystals_dilithium3_ref_verify"); + int res = verify(sig, siglen, msg, msglen, ctx, ctxlen, pk); + dlclose(handle); + return res; +} + +int CC_MLDSA_87_verify(const uint8_t *sig, size_t siglen, const uint8_t *msg, size_t msglen, const uint8_t *ctx, size_t ctxlen, const uint8_t *pk, size_t pklen) { + void *handle = get_lib_handle("ML-DSA-87-ref.so"); + int (*verify)(const uint8_t *, size_t, const uint8_t *, const size_t, const uint8_t *, const size_t, const uint8_t *); + verify = get_func(handle, "pqcrystals_dilithium5_ref_verify"); + int res = verify(sig, siglen, msg, msglen, ctx, ctxlen, pk); + dlclose(handle); + return res; +} diff --git a/tests/harness/MLKEM.harness.c b/tests/harness/MLKEM.harness.c new file mode 100644 index 0000000..1550f8a --- /dev/null +++ b/tests/harness/MLKEM.harness.c @@ -0,0 +1,88 @@ +#include +#include +#include +#include +#include + +void *get_lib_handle(const char lib_name[]) { + void *handle; + char libdir[PATH_MAX]; + + snprintf(libdir, PATH_MAX, "%s/%s/%s", getenv("HOME"), + ".local/share/crypto-condor/MLKEM", lib_name); + handle = dlopen(libdir, RTLD_LAZY); + if (!handle) { + fprintf(stderr, "dlopen error: %s\n", dlerror()); + exit(EXIT_FAILURE); + } + return handle; +} + +void *get_func(void *handle, const char func_name[]) { + void *func; + func = dlsym(handle, func_name); + if (!func) { + fprintf(stderr, "dlsym error: %s\n", dlerror()); + dlclose(handle); + exit(EXIT_FAILURE); + } + return func; +} + +void CC_MLKEM_512_encaps(uint8_t *ct, size_t ct_sz, uint8_t *ss, + size_t ss_sz, const uint8_t *pk, size_t pk_sz) { + + void *handle = get_lib_handle("ML-KEM-512-ref.so"); + void (*enc)(uint8_t *, uint8_t *, const uint8_t *); + enc = get_func(handle, "pqcrystals_kyber512_ref_enc"); + enc(ct, ss, pk); + dlclose(handle); +} +void CC_MLKEM_768_encaps(uint8_t *ct, size_t ct_sz, uint8_t *ss, + size_t ss_sz, const uint8_t *pk, size_t pk_sz) { + + void *handle = get_lib_handle("ML-KEM-768-ref.so"); + void (*enc)(uint8_t *, uint8_t *, const uint8_t *); + enc = get_func(handle, "pqcrystals_kyber768_ref_enc"); + enc(ct, ss, pk); + dlclose(handle); +} +void CC_MLKEM_1024_encaps(uint8_t *ct, size_t ct_sz, uint8_t *ss, + size_t ss_sz, const uint8_t *pk, size_t pk_sz) { + + void *handle = get_lib_handle("ML-KEM-1024-ref.so"); + void (*enc)(uint8_t *, uint8_t *, const uint8_t *); + enc = get_func(handle, "pqcrystals_kyber1024_ref_enc"); + enc(ct, ss, pk); + dlclose(handle); +} + +/* DECAPSULATE */ + +void CC_MLKEM_512_decaps(uint8_t *ss, size_t ss_sz, const uint8_t *ct, + size_t ct_sz, const uint8_t *sk, size_t sk_sz) { + + void *handle = get_lib_handle("ML-KEM-512-ref.so"); + void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); + dec = get_func(handle, "pqcrystals_kyber512_ref_dec"); + dec(ss, ct, sk); + dlclose(handle); +} +void CC_MLKEM_768_decaps(uint8_t *ss, size_t ss_sz, const uint8_t *ct, + size_t ct_sz, const uint8_t *sk, size_t sk_sz) { + + void *handle = get_lib_handle("ML-KEM-768-ref.so"); + void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); + dec = get_func(handle, "pqcrystals_kyber768_ref_dec"); + dec(ss, ct, sk); + dlclose(handle); +} +void CC_MLKEM_1024_decaps(uint8_t *ss, size_t ss_sz, const uint8_t *ct, + size_t ct_sz, const uint8_t *sk, size_t sk_sz) { + + void *handle = get_lib_handle("ML-KEM-1024-ref.so"); + void (*dec)(uint8_t *, const uint8_t *, const uint8_t *); + dec = get_func(handle, "pqcrystals_kyber1024_ref_dec"); + dec(ss, ct, sk); + dlclose(handle); +} diff --git a/tests/harness/test.py b/tests/harness/test.py index 46dfb06..b3d51c1 100644 --- a/tests/harness/test.py +++ b/tests/harness/test.py @@ -15,14 +15,14 @@ @pytest.mark.skipif(sys.platform != "linux", reason="dlopen's library in .local/share") -@pytest.mark.parametrize("primitive", ["AES", "Dilithium", "Kyber"]) +@pytest.mark.parametrize("primitive", ["AES", "MLDSA", "MLKEM"]) def test_harness(primitive: str): """Tests harnesses with :func:`crypto_condor.harness.test_harness`.""" # Compile the hook subprocess.run(["make", "-C", ROOT_DIR, f"{primitive}.harness.so"], check=True) results = harness.test_harness(ROOT_DIR / f"{primitive}.harness.so") - for result in results: + for result in results.values(): console.print_results(result) assert result.check() diff --git a/tests/primitives/test_Dilithium.py b/tests/primitives/test_Dilithium.py deleted file mode 100644 index 0b025ba..0000000 --- a/tests/primitives/test_Dilithium.py +++ /dev/null @@ -1,49 +0,0 @@ -"""Module to test Dilithium.""" - -import pytest - -from crypto_condor.primitives import Dilithium -from crypto_condor.primitives.common import Console - -console = Console() - - -@pytest.mark.parametrize("parameter_set", Dilithium.Paramset) -def test_sign(parameter_set: Dilithium.Paramset): - """Tests internal signing function.""" - vectors = Dilithium.DilithiumVectors.load(parameter_set) - for vector in vectors.tests: - sm = Dilithium._sign(parameter_set, vector.sk, vector.msg) - assert sm == vector.sm, f"Test {vector.count} failed" - - -@pytest.mark.parametrize("parameter_set", Dilithium.Paramset) -def test_verify(parameter_set: Dilithium.Paramset): - """Tests internal verifying function.""" - vectors = Dilithium.DilithiumVectors.load(parameter_set) - for vector in vectors.tests: - assert Dilithium._verify(parameter_set, vector.pk, vector.sm) - - -@pytest.mark.parametrize("parameter_set", Dilithium.Paramset) -def test_test_sign(parameter_set: Dilithium.Paramset): - """Tests :func:`crypto_condor.primitives.Dilithium.test_sign`.""" - - def _sign(sk, msg): - return Dilithium._sign(parameter_set, sk, msg) - - results = Dilithium.test_sign(_sign, parameter_set) - console.print_results(results) - assert results.check() - - -@pytest.mark.parametrize("parameter_set", Dilithium.Paramset) -def test_test_verify(parameter_set: Dilithium.Paramset): - """Tests :func:`crypto_condor.primitives.Dilithium.test_verify`.""" - - def _verify(pk, sig, msg): - return Dilithium._verify(parameter_set, pk, sig, msg) - - results = Dilithium.test_verify(_verify, parameter_set) - console.print_results(results) - assert results.check() diff --git a/tests/primitives/test_Kyber.py b/tests/primitives/test_Kyber.py deleted file mode 100644 index 859e7d4..0000000 --- a/tests/primitives/test_Kyber.py +++ /dev/null @@ -1,61 +0,0 @@ -"""Module to test Kyber.""" - -import pytest - -from crypto_condor.primitives import Kyber -from crypto_condor.primitives.common import Console -from crypto_condor.vectors.Kyber import KyberVectors - -console = Console() - - -@pytest.mark.parametrize("parameter_set", Kyber.Paramset) -def test_encapsulate(parameter_set: Kyber.Paramset): - """Tests encapsulation.""" - vectors = KyberVectors.load(parameter_set) - - for test in vectors.tests: - ct, ss = Kyber._encapsulate(parameter_set, test.pk) - res_ss = Kyber._decapsulate(parameter_set, test.sk, ct) - assert res_ss == ss - - -@pytest.mark.parametrize("parameter_set", Kyber.Paramset) -def test_decapsulate(parameter_set: Kyber.Paramset): - """Tests decapsulation.""" - vectors = KyberVectors.load(parameter_set) - - for test in vectors.tests: - ss = Kyber._decapsulate(parameter_set, test.sk, test.ct) - assert ss == test.ss - - -@pytest.mark.parametrize("parameter_set", Kyber.Paramset) -def test_test_encapsulate(parameter_set: Kyber.Paramset): - """Tests :func:`crypto_condor.primitives.Kyber.test`. - - Only tests an encapsulation function. - """ - - def _encap(pk): - return Kyber._encapsulate(parameter_set, pk) - - results = Kyber.test_encapsulate(_encap, parameter_set) - assert results is not None, "results is None" - console.print_results(results) - assert results.check() - - -@pytest.mark.parametrize("parameter_set", Kyber.Paramset) -def test_test_decapsulate(parameter_set: Kyber.Paramset): - """Tests :func:`crypto_condor.primitives.Kyber.test`. - - Only tests a decapsulation function. - """ - - def _decap(sk, ct): - return Kyber._decapsulate(parameter_set, sk, ct) - - results = Kyber.test_decapsulate(_decap, parameter_set) - console.print_results(results) - assert results.check() diff --git a/tests/primitives/test_MLDSA.py b/tests/primitives/test_MLDSA.py new file mode 100644 index 0000000..ef6e283 --- /dev/null +++ b/tests/primitives/test_MLDSA.py @@ -0,0 +1,59 @@ +"""Module to test the ML-DSA primitive.""" + +import random +from pathlib import Path + +import pytest + +from crypto_condor.primitives import MLDSA +from crypto_condor.primitives.common import Console + +console = Console() + + +@pytest.mark.parametrize("paramset", MLDSA.Paramset) +def test_sign(paramset: MLDSA.Paramset): + """Tests internal signing function.""" + + def _sign(sk: bytes, msg: bytes, ctx: bytes) -> bytes: + return MLDSA._sign(paramset, sk, msg, ctx) + + rd = MLDSA.test_sign(_sign, paramset) + assert rd.check() + + +@pytest.mark.parametrize("paramset", MLDSA.Paramset) +def test_verify(paramset: MLDSA.Paramset): + """Tests internal verifying function.""" + + def _verify(pk: bytes, msg: bytes, sig: bytes, ctx: bytes): + return MLDSA._verify(paramset, pk, msg, sig, ctx) + + rd = MLDSA.test_verify(_verify, paramset) + assert rd.check() + + +@pytest.mark.parametrize("paramset", MLDSA.Paramset) +def test_output_encaps(paramset: MLDSA.Paramset, tmp_path: Path): + """Test for :func:`crypto_condor.primitives.MLDSA.test_output_encaps`.""" + output = tmp_path / f"{str(paramset)}.txt" + lines = list() + for _ in range(50): + pk, sk = MLDSA._keygen(paramset) + msglen = random.randint(128, 1024) + # ctx is a byte string of 255 or fewer bytes + ctxlen = random.randint(16, 255) + msg = random.randbytes(msglen) + ctx = random.randbytes(ctxlen) + sig = MLDSA._sign(paramset, sk, msg, ctx) + lines.append(f"{pk.hex()}/{msg.hex()}/{sig.hex()}/{ctx.hex()}") + for _ in range(50): + pk, sk = MLDSA._keygen(paramset) + msglen = random.randint(128, 1024) + msg = random.randbytes(msglen) + sig = MLDSA._sign(paramset, sk, msg, b"") + lines.append(f"{pk.hex()}/{msg.hex()}/{sig.hex()}/") + output.write_text("\n".join(lines)) + + rd = MLDSA.test_output_sign(output, paramset) + assert rd.check() diff --git a/tests/primitives/test_MLKEM.py b/tests/primitives/test_MLKEM.py new file mode 100644 index 0000000..7427cee --- /dev/null +++ b/tests/primitives/test_MLKEM.py @@ -0,0 +1,48 @@ +"""Module to test the ML-KEM primitive.""" + +from pathlib import Path + +import pytest + +from crypto_condor.primitives import MLKEM +from crypto_condor.primitives.common import Console + +console = Console() + + +@pytest.mark.parametrize("paramset", MLKEM.Paramset) +def test_encaps(paramset: MLKEM.Paramset): + """Test for :func:`crypto_condor.primitives.MLKEM.test_encaps`.""" + + def _encaps(pk: bytes) -> tuple[bytes, bytes]: + return MLKEM._encaps(paramset, pk) + + rd = MLKEM.test_encaps(_encaps, paramset) + assert rd is not None + assert rd.check() + + +@pytest.mark.parametrize("paramset", MLKEM.Paramset) +def test_decaps(paramset: MLKEM.Paramset): + """Test for :func:`crypto_condor.primitives.MLKEM.test_decaps`.""" + + def _decaps(sk: bytes, ct: bytes) -> bytes: + return MLKEM._decaps(paramset, sk, ct) + + rd = MLKEM.test_decaps(_decaps, paramset) + assert rd.check() + + +@pytest.mark.parametrize("paramset", MLKEM.Paramset) +def test_output_encaps(paramset: MLKEM.Paramset, tmp_path: Path): + """Test for :func:`crypto_condor.primitives.MLKEM.test_output_encaps`.""" + output = tmp_path / f"{str(paramset)}.txt" + lines = list() + for _ in range(50): + pk, sk = MLKEM._keygen(paramset) + ct, ss = MLKEM._encaps(paramset, pk) + lines.append(f"{pk.hex()}/{sk.hex()}/{ct.hex()}/{ss.hex()}") + output.write_text("\n".join(lines)) + + rd = MLKEM.test_output_encaps(output, paramset) + assert rd.check()