On asymptotically optimal tests for random number generators

Boris Ryabko

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arXiv · 1912.06542

On asymptotically optimal tests for random number generators

Boris Ryabko

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Abstract

The problem of constructing effective statistical tests for random number generators (RNG) is considered. Currently, statistical tests for RNGs are a mandatory part of cryptographic information protection systems, but their effectiveness is mainly estimated based on experiments with various RNGs. We find an asymptotic estimate for the p-value of an optimal test in the case where the alternative hypothesis is a known stationary ergodic source, and then describe a family of tests each of which has the same asymptotic estimate of the p-value for any (unknown) stationary ergodic source.

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BibTeX RIS

Boris Ryabko. 2019-12-13. On asymptotically optimal tests for random number generators. https://arxiv.org/abs/1912.06542

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