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A Fast Hardware Pseudorandom Number Generator Based on xoroshiro128 by James Hanlon; Stephen Felix is a scholarly article available to read on EtoBox.

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The Graphcore Intelligent Processing Unit contains an original pseudorandom number generator (PRNG) called xoroshiro128aox, based on the F F F F F F F 2 -linear generator xoroshiro128. It is designed to be cheap to implement in hardware and provide high-quality statistical randomness. In this paper, we present a rigorous assessment of the generator's quality using standard statistical test suites and compare the results with the fast contemporary PRNGs xoroshiro128+, pcg64 and philox4x32-10. We show that xoroshiro128aox mitigates the known weakness in the lower order bits of xoroshiro128+ with a new 'AOX' output function by passing the BigCrush and PractRand suites, but we note that the function has some minor non uniformities. We focus our testing with specific tests for linear artefacts to highlight the weaknesses of both xoroshiro128 PRNGs, but conclude that they are hard to detect, and xoroshiro128aox otherwise provides a good trade off between statistical quality and hardware implementation cost.

Author

James Hanlon; Stephen Felix

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Published

2023

Language

EN