On a classification of finite statistical tests

David Lubicz

doi:10.3934/amc.2007.1.509

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2007, Volume 1, Issue 4: 509-524. Doi: 10.3934/amc.2007.1.509

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On a classification of finite statistical tests

David Lubicz^1,

1.
CELAR, BP 57419 35174 Bruz Cedex

Received: June 2007

Revised: September 2007

Published: November 2007

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Abstract

Statistical tests of random sequences are often used in cryptography in order to perform some routine checks for random and pseudo-random number generators. Most of the test suites available are based on the theory of hypothesis testing which allows one to decide whether a sample has been drawn following a certain distribution. In this article, we develop a theoretical foundation of statistical tests of random sequences and hypothesis testing with a focus on cryptographic applications and we draw some interesting practical consequences.

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Mathematics Subject Classification: Primary: 94A60; Secondary: 94A15.

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