English

Again, random numbers fall mainly in the planes: xorshift128+ generators

Cryptography and Security 2019-08-28 v1

Abstract

Xorshift128+ are pseudo random number generators with eight sets of parameters. Some of them are standard generators in many platforms, such as JavaScript V8 Engine. We show that in the 3D plots generated by this method, points concentrate on planes, ruining the randomness.

Keywords

Cite

@article{arxiv.1908.10020,
  title  = {Again, random numbers fall mainly in the planes: xorshift128+ generators},
  author = {Hiroshi Haramoto and Makoto Matsumoto},
  journal= {arXiv preprint arXiv:1908.10020},
  year   = {2019}
}
R2 v1 2026-06-23T10:57:36.085Z