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Xorshift random number generators from primitive polynomials

Kumar Bishoi S., Narayan Maharana S.

Theoretical and Applied Informatics

2017

Vol. 29, No. 1-2

1--13

A class of Xorshift Random Number Generators (RNGs) are introduced by Marsaglia. We have proposed an algorithm which constructs a primitive Xorshift RNG from a given prim- itive polynomial. We also have shown a weakness present in those RNGs and suggested its solution. A separate algorithm also proposed which returns a full periodic Xorshift generator with desired number of Xorshift operations.