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Unveiling patterns in xorshift128+ pseudorandom number generators

Mathematical Software 2021-08-25 v3
Authors: Hiroshi Haramoto , Makoto Matsumoto , Mutsuo Saito
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Abstract

Xorshift128+ is a newly proposed pseudorandom number generator (PRNG), which is now the standard PRNG on a number of platforms. We demonstrate that three-dimensional plots of the random points generated by the generator have visible structures: they concentrate on particular planes in the cube. We provide a mathematical analysis of this phenomenon.

Keywords

pseudorandom number generator

Cite

@article{arxiv.1907.03251,
  title  = {Unveiling patterns in xorshift128+ pseudorandom number generators},
  author = {Hiroshi Haramoto and Makoto Matsumoto and Mutsuo Saito},
  journal= {arXiv preprint arXiv:1907.03251},
  year   = {2021}
}

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