[Resource Topic] 2023/890: Efficient Evaluation of Frequency Test for Overlapping Vectors Statistic

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Title:
Efficient Evaluation of Frequency Test for Overlapping Vectors Statistic

Authors: Krzysztof MAŃK

Abstract:

Randomness testing is one of the essential and easiest tools for evaluating cryptographic primitives. The faster we can test, the greater volume of data that can be tested. Thus a more detailed analysis is possible.
This paper presents a range of observations made for a well-known frequency test for overlapping vectors in binary sequence testing. We have obtained precise chi-square statistic computed in O \left(dt 2^{dt} \right) instead of O\left( 2^{2dt}\right) time, without precomputed tables.

ePrint: https://eprint.iacr.org/2023/890

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