Using Information Theory Approach to  Randomness Testing

B.  Ya.  Ryabko; V. A.  Monarev

Paper 2003/127 Original: eprint.iacr.org/2003/127 ↗

Using Information Theory Approach to Randomness Testing

B. Ya. Ryabko

V. A. Monarev

Abstract

We address the problem of detecting deviations of binary sequence from randomness,which is very important for random number (RNG) and pseudorandom number generators (PRNG). Namely, we consider a null hypothesis $H_0$ that a given bit sequence is generated by Bernoulli source with equal probabilities of 0 and 1 and the alternative hypothesis $H_1$ that the sequence is generated by a stationary and ergodic source which differs from the source under $H_0$. We show that data compression methods can be used as a basis for such testing and describe two new tests for randomness, which are based on ideas of universal coding. Known statistical tests and suggested ones are applied for testing PRNGs, which are practically used. Those experiments show that the power of the new tests is greater than of many known algorithms.

Metadata

Available format(s): PDF
Publication info: Preprint.
History: 2003-06-23: last updated; 2003-06-23: published
Short URL: https://ia.cr/2003/127
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2003/127,
      author = {B.  Ya.  Ryabko and V. A.  Monarev},
      title = {Using Information Theory Approach to  Randomness Testing},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/127},
      year = {2003},
      url = {https://eprint.iacr.org/2003/127}
}