On the correlation and sensitivity of so far statistical randomness tests based on runs

Authors

  • Hoang Dinh Linh
  • Do Dai Chi
  • Nguyen Tuan Anh
  • Le Thao Uyen

DOI:

https://doi.org/10.54654/isj.v2i14.212

Tóm tắt

Abstract— Random numbers play a very important role in cryptography. More precisely, almost cryptographic primitives are ensured their security based on random values such as random key, nonces, salts... Therefore, the assessment of randomness according to statistical tests is really essential for measuring the security of cryptographic algorithms. In this paper, we focus on so far randomness tests based on runs in the literature. First, we have proved in detail that the expected number of gaps (or blocks) of length  in a random sequence of length  is . Secondly, we have evaluated correlation of some tests based on runs so far using Pearson coefficient method [5, 6] and Fail-Fail ratio one [7, 8]. Surprisingly, the Pearson coefficient method do not show any strong linear correlation of these runs-based tests but the Fail-Fail ratio do. Then, we have considered the sensitivity of these runs tests with some basic transformations. Finally, we have proposed some new runs tests based on the sensitivity results and applied evaluations to some random sources.

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References

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Published

2022-01-14

How to Cite

Linh, H. D., Chi, D. D. ., Anh, N. T. ., & Uyen, L. T. . (2022). On the correlation and sensitivity of so far statistical randomness tests based on runs. Journal of Science and Technology on Information Security, 2(14), 55-65. https://doi.org/10.54654/isj.v2i14.212

Issue

Vol. 2. No. (14) 2021

Section

Papers

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3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).