This repository contains data and code associated with the paper “Computationally easy, spectrally good multipliers for congruential pseudorandom number generators”, by Guy Steele and Sebastiano Vigna.
The directory src contains the code used to sample multipliers.
The directory python contains the Python code used to select the
multipliers reported in the paper.
The databases of candidate multipliers are available at http://vigna.di.unimi.it/CPRNG.tar.bz2. (The size of the bzip2 file is approximately 14 gigabytes; the unzipped data is approximately 36 gigabytes.)
The databases contain, for each type, state size, and multiplier size,
spectral scores (e.g., LCG-128-128 for spectral scores of 128-bit
multipliers for LCGs with 128 bits of state) and lagged spectral scores
(e.g., MCG-128-3-64 for 3-lagged scores of 64-bit multipliers for MCGs
with 128 bits of state). For each multiplier we list the minimum score
from dimension 2 to dimension 8, the harmonic score (see the paper) from
dimension 2 to dimension 8, the multiplier in decimal and hexadecimal
form, and finally the spectral scores from dimension 2 to dimension 8.