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arXiv · 1705.00098

Xorshift random number generators from primitive polynomials

Susil Kumar Bishoi·Surya Narayan Maharana
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Abstract

A class of xorshift random number generators (RNGs) are introduced by Marsaglia. We have proposed an algorithm which constructs a full period xorshift RNG from a given primitive polynomial. It is shown there is a weakness present in those RNGs and is suggested its improvement. A separate algorithm is also proposed which returns a full period xorshift generator with desired number of xorshift operations.%We also introduce the notion of tweaked primitive multiple-recursive matrix method with improved linear complexity.

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Susil Kumar Bishoi, Surya Narayan Maharana. 2017-04-28. Xorshift random number generators from primitive polynomials. https://arxiv.org/abs/1705.00098

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