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Mathematics > Number Theory

arXiv:1803.05758 (math)
[Submitted on 15 Mar 2018]

Title:The measures of pseudorandomness and the NIST tests

Authors:László Mérai, Joël Rivat, András Sárközy
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Abstract:A few years ago new quantitative measures of pseudorandomness of binary sequences have been introduced. Since that these measures have been studied in many papers and many constructions have been given along these lines. In this paper the connection between the new measures and the NIST tests is analyzed. It is shown that finite binary sequences possessing strong pseudorandom properties in terms of these new measures usually also pass or nearly pass most of the NIST tests.
Subjects: Number Theory (math.NT)
Cite as: arXiv:1803.05758 [math.NT]
  (or arXiv:1803.05758v1 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.1803.05758

Submission history

From: László Mérai [view email]
[v1] Thu, 15 Mar 2018 14:09:43 UTC (20 KB)
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