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mod.rs
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#[cfg(test)]
mod tests {
use crate::shared::dh::{simplified_srp, srp};
use crate::shared::hmac::hmac;
use crate::shared::rsa;
use crate::shared::sha256::SHA256;
use crate::shared::{dh, mod_inv};
use num_bigint::BigUint;
use num_integer::Integer;
use num_traits::{One, Zero};
use std::ops::Sub;
use std::str::FromStr;
#[allow(non_snake_case)]
#[test]
fn test_challenge_33() {
let p_hex = b"\
ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024\
e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd\
3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec\
6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f\
24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361\
c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552\
bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff\
fffffffffffff";
let g_hex = b"2";
let p = &BigUint::parse_bytes(p_hex, 16).unwrap();
let g = &BigUint::parse_bytes(g_hex, 16).unwrap();
let (ref a, ref A) = dh::generate_keypair(p, g);
let (ref b, ref B) = dh::generate_keypair(p, g);
let s1 = dh::derive_shared(p, a, B);
let s2 = dh::derive_shared(p, b, A);
assert_eq!(s1, s2);
}
#[allow(non_snake_case)]
#[test]
fn test_challenge_34() {
let p_hex = b"\
ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024\
e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd\
3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec\
6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f\
24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361\
c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552\
bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff\
fffffffffffff";
let g_hex = b"2";
// Initialization
let Ap = &BigUint::parse_bytes(p_hex, 16).unwrap();
let Ag = &BigUint::parse_bytes(g_hex, 16).unwrap();
let (ref Aa, ref AA) = dh::generate_keypair(Ap, Ag);
// A->M
let Mp = Ap;
let Mg = Ag;
let _AB = AA;
// M->B
let Bp = Mp;
let Bg = Mg;
let BA = Mp;
let (ref Bb, ref BB) = dh::generate_keypair(&Bp, &Bg);
// B->M
let _MB = BB;
// M->A
let AB = Mp;
let As = dh::derive_shared(Ap, Aa, AB);
let Bs = dh::derive_shared(Bp, Bb, BA);
assert!(As.is_zero());
assert!(Bs.is_zero());
}
#[allow(non_snake_case)]
#[test]
fn test_challenge_35() {
let p_hex = b"\
ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024\
e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd\
3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec\
6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f\
24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361\
c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552\
bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff\
fffffffffffff";
let g_hex = b"2";
let Ap = &BigUint::parse_bytes(p_hex, 16).unwrap();
let Ag = &BigUint::parse_bytes(g_hex, 16).unwrap();
let protocol = |g: &BigUint| {
// A -> M
let Mp = Ap;
let _Mg = Ag;
// M -> B
let Bp = Mp;
let Bg = g;
// A -> B
let (ref Aa, ref AA) = dh::generate_keypair(Ap, Ag);
let BA = AA;
// B -> A
let (ref Bb, ref BB) = dh::generate_keypair(Bp, Bg);
let AB = BB;
let As = dh::derive_shared(Ap, Aa, AB);
let Bs = dh::derive_shared(Bp, Bb, BA);
(As, Bs)
};
let (As, _Bs) = protocol(&BigUint::one());
assert!(As.is_one());
let (As, _Bs) = protocol(Ap);
assert!(As.is_zero());
let (As, _Bs) = protocol(&Ap.sub(1u8));
assert!(As.is_one() || As == Ap.sub(1u8));
}
#[allow(non_snake_case)]
#[test]
fn test_challenge_36() {
let N_hex = b"\
ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024\
e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd\
3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec\
6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f\
24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361\
c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552\
bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff\
fffffffffffff";
let g_hex = b"2";
let k_hex = b"3";
let N = &BigUint::parse_bytes(N_hex, 16).unwrap();
let g = &BigUint::parse_bytes(g_hex, 16).unwrap();
let k = &BigUint::parse_bytes(k_hex, 16).unwrap();
let mut Cmac = [0; 32];
let mut Smac = [0; 32];
srp(
N,
g,
k,
false,
&mut [0; 32],
&mut Cmac,
&mut [0; 32],
&mut Smac,
);
assert_eq!(Cmac, Smac);
}
#[allow(non_snake_case)]
#[test]
fn test_challenge_37() {
let N_hex = b"\
ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024\
e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd\
3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec\
6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f\
24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361\
c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552\
bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff\
fffffffffffff";
let g_hex = b"2";
let k_hex = b"3";
let N = &BigUint::parse_bytes(N_hex, 16).unwrap();
let g = &BigUint::parse_bytes(g_hex, 16).unwrap();
let k = &BigUint::parse_bytes(k_hex, 16).unwrap();
let mut SK = [0; 32];
srp(
N,
g,
k,
true,
&mut [0; 32],
&mut [0; 32],
&mut SK,
&mut [0; 32],
);
let mut zero_hash = [0; 32];
SHA256::default().hash(&BigUint::zero().to_bytes_be(), &mut zero_hash);
assert_eq!(SK, zero_hash);
}
#[allow(non_snake_case)]
#[test]
fn test_challenge_38() {
let N_hex = b"\
ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024\
e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd\
3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec\
6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f\
24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361\
c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552\
bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff\
fffffffffffff";
let g_hex = b"2";
let N = &BigUint::parse_bytes(N_hex, 16).unwrap();
let g = &BigUint::parse_bytes(g_hex, 16).unwrap();
let mut Cmac = [0; 32];
let mut Smac = [0; 32];
simplified_srp(N, g, &mut [0; 16], &mut Cmac, &mut Smac);
assert_eq!(Cmac, Smac);
let mut Ssalt = [0; 16];
let (ref Sb, ref SA, ref Su) = simplified_srp(N, g, &mut Ssalt, &mut Cmac, &mut [0; 32]);
let SN = N;
let Sg = g;
let dictionary: [&[u8]; 4] = [b"password1", b"password2", b"password3", b"password"];
assert!(dictionary.into_iter().any(|P| {
let mut hash = [0; 32];
SHA256::default().hash(&[&Ssalt, P].concat(), &mut hash);
let Sx = &BigUint::from_bytes_be(&hash);
let Sv = &Sg.modpow(Sx, SN);
let SS = (SA * Sv.modpow(&Su, SN)).modpow(&Sb, SN);
let mut SK = [0; 32];
SHA256::default().hash(&SS.to_bytes_be(), &mut SK);
hmac(&SK, &Ssalt, &mut Smac, |msg, hash| {
SHA256::default().hash(msg, hash);
});
Smac == Cmac
}));
}
#[test]
fn test_challenge_39() {
let message = b"Lorem ipsum dolor sit amet, consectetur adipiscing elit";
let m = BigUint::from_bytes_be(message);
// Apparently there's no real pure Rust libraries to generate random primes??...
let p = &BigUint::from_str("9902478688314345424239631829098064031372511021415073888934444987805904619070767824954564980642642554558422713147827332946886953946202126417051242267443733").unwrap();
let q = &BigUint::from_str("9023289800571256384296979170278503137808766752150078076803904588875045578444674044397684797154640374473290798963775917093544857834628721547751219278749279").unwrap();
let (public_key, private_key) = rsa::generate_keypair(p, q);
let c = rsa::encrypt(&public_key, &m);
let m = rsa::decrypt(&private_key, &c);
assert_eq!(m.to_bytes_be(), message);
}
#[test]
fn test_challenge_40() {
let message = b"Lorem ipsum dolor sit amet, consectetur adipiscing elit";
let m = BigUint::from_bytes_be(message);
// Apparently there's no real pure Rust libraries to generate random primes??...
let p0 = &BigUint::from_str("9902478688314345424239631829098064031372511021415073888934444987805904619070767824954564980642642554558422713147827332946886953946202126417051242267443733").unwrap();
let q0 = &BigUint::from_str("9023289800571256384296979170278503137808766752150078076803904588875045578444674044397684797154640374473290798963775917093544857834628721547751219278749279").unwrap();
let p1 = &BigUint::from_str("11274983038895115121293116870192254883468059626563068837945742093801526722162538837580229240054792262576510430845352465935843147772922402832853959860669771").unwrap();
let q1 = &BigUint::from_str("7262594005020769019931822832663446500662485538381898929588200396322418810779276174809382812951073349907424874728035382013137196078489330189449393145355503").unwrap();
let p2 = &BigUint::from_str("12913543998799265969823239687498071641165862012531925177661036260568473452380829657935448074759790583333391776955901364246374511636780811502839627485014289").unwrap();
let q2 = &BigUint::from_str("9545889585983283723785056542372918092517768841049236382780906557531644288178748339341312152025004910555059160421572735766889349024115657853149560419070863").unwrap();
let (public_key0, _) = rsa::generate_keypair(p0, q0);
let (public_key1, _) = rsa::generate_keypair(p1, q1);
let (public_key2, _) = rsa::generate_keypair(p2, q2);
let c0 = rsa::encrypt(&public_key0, &m);
let c1 = rsa::encrypt(&public_key1, &m);
let c2 = rsa::encrypt(&public_key2, &m);
let (n0, _) = public_key0;
let (n1, _) = public_key1;
let (n2, _) = public_key2;
let n012 = &n0 * &n1 * &n2;
let ms0 = &n1 * &n2;
let ms1 = &n0 * &n2;
let ms2 = &n0 * &n1;
let result = ((&c0 * &ms0 * mod_inv(&ms0, &n0).unwrap()).mod_floor(&n012)
+ (&c1 * &ms1 * mod_inv(&ms1, &n1).unwrap()).mod_floor(&n012)
+ (&c2 * &ms2 * mod_inv(&ms2, &n2).unwrap()).mod_floor(&n012))
.mod_floor(&n012);
let m = result.nth_root(3);
assert_eq!(m.to_bytes_be(), message);
}
}