[Resource Topic] 2019/551: A note on the correlations between NIST cryptographic statistical tests suite

Welcome to the resource topic for 2019/551

Title:
A note on the correlations between NIST cryptographic statistical tests suite

Authors: Emil Simion, Paul Burciu

Abstract:

This paper is focused on an open question regarding the correlation and the power of the NIST statistical test suite. If we found some correlation between these statistical tests, then we can improve the testing strategy by executing only one of the tests that are correlated. Using the Galton-Pearson “product-moment correlation coefficient”, by simulation, we found a high correlation between five couples of this statistical tests: (frequency, cumulative sums forward), (frequency, cumulative sums reverse), (cumulative sums forward, cumulative sums reverse), (random excursions, random excursions variant), and (serial 1, serial 2).

ePrint: https://eprint.iacr.org/2019/551

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