Pseudo random number generators: attention for a newly proposed generator

07/07/2019

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by   Hiroshi Haramoto, et al.

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Xorshift128+ is a newly proposed pseudo random number generator (PRNG), which is now the standard PRNG in a number of platforms. We point out 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 mathematical analysis on this phenomenon. A key-observation is that the exclusive-or is well-approximated by the arithmetic sum or subtraction with relatively high probability.