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Randomness for Randomness Testing

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Part of the Lecture Notes in Computer Science book series (LNCS,volume 13301)


Given a binary sequence, one may inquire whether it is produced by a true random source. There are several tests designed to answer this question, such as the statistical test suite of the National Institute of Standard and Technology (NIST) and the Diehard tests.

The problem is that, given deterministic tests of randomization, an adversary may know/learn, the adversary may tailor a non-random (deterministic) sequence, guided by the deterministic tests, that passes the tests.

We suggest to use a true random source for randomness tests and thus make the tests significantly harder to being misled. We design tests that use true random sources and demonstrate their ability to detect non-random sequences that NIST classifies as random.


  • Property testing
  • Randomness testing
  • Truly random generator

D. Berend—Research supported in part by the Milken Families Foundation Chair in Mathematics and the Cyber Security Research Center at Ben-Gurion University.

S. Dolev—This research was (partially) funded by a grant from the Ministry of Science and Technology, Israel & the Japan Science and Technology Agency (JST), the German Research Funding (DFG, Grant #8767581199), Genesis Consortium, the Rita Altura trust chair in computer science, and by the Lynne and William Frankel Center for Computer Science.

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We thank Dean Doron for many interesting discussion related to this research.

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Correspondence to Manish Kumar .

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Berend, D., Dolev, S., Kumar, M. (2022). Randomness for Randomness Testing. In: Dolev, S., Katz, J., Meisels, A. (eds) Cyber Security, Cryptology, and Machine Learning. CSCML 2022. Lecture Notes in Computer Science, vol 13301. Springer, Cham.

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