Paper 2019/1426 Original: eprint.iacr.org/2019/1426 ↗

On asymptotically optimal tests for random number generators

Boris Ryabko
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.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2019-12-10: last updated
2019-12-10: published
Short URL
https://ia.cr/2019/1426
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/1426,
      author = {Boris Ryabko},
      title = {On asymptotically optimal   tests for random number generators},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/1426},
      year = {2019},
      url = {https://eprint.iacr.org/2019/1426}
}
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