Unveiling patterns in xorshift128+ pseudorandom number generators

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 p...

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Bibliographic Details
Main Authors Haramoto, Hiroshi, Matsumoto, Makoto, Saito, Mutsuo
Format Journal Article
LanguageEnglish
Published 07.07.2019
Subjects
Computer Science - Mathematical Software
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Summary: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.
DOI:10.48550/arxiv.1907.03251