English

A New Test for Hamming-Weight Dependencies

Data Structures and Algorithms 2022-03-29 v2 Mathematical Software

Abstract

We describe a new statistical test for pseudorandom number generators (PRNGs). Our test can find bias induced by dependencies among the Hamming weights of the outputs of a PRNG, even for PRNGs that pass state-of-the-art tests of the same kind from the literature, and in particular for generators based on F2\mathbf F_2-linear transformations such as the dSFMT, xoroshiro1024+, and WELL512.

Keywords

Cite

@article{arxiv.2108.13061,
  title  = {A New Test for Hamming-Weight Dependencies},
  author = {David Blackman and Sebastiano Vigna},
  journal= {arXiv preprint arXiv:2108.13061},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1805.01407

R2 v1 2026-06-24T05:31:07.228Z