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Constructing Empirical Tests of Randomness

Published: 28 August 2014 Publication History

Abstract

In this paper we introduce a general framework for automatic construction of empirical tests of randomness. Our new framework generalises and improves a previous approach (Å venda et al., 2013) and it also provides a clear statistical interpretation of its results. This new approach was tested on selected stream ciphers from the eSTREAM competition. Results show that our approach can lay foundations to randomness testing and it is comparable to the Statistical Test Suite developed by NIST. Additionally, the proposed approach is able
to perform randomness analysis even when presented with sequences shorter by several orders of magnitude than required by the NIST suite. Although the Dieharder battery still provides a slightly better randomness analysis, our framework is able to detect non-randomness for stream ciphers with limited number of rounds (Hermes, Fubuki) where both above-mentioned batteries fail.

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  1. Constructing Empirical Tests of Randomness

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    Published In

    cover image Guide Proceedings
    ICETE 2014: Proceedings of the 11th International Joint Conference on e-Business and Telecommunications - Volume 4
    August 2014
    509 pages
    ISBN:9789897580451

    Publisher

    SCITEPRESS - Science and Technology Publications, Lda

    Setubal, Portugal

    Publication History

    Published: 28 August 2014

    Author Tags

    1. Genetic Programming
    2. Random Distinguisher
    3. Randomness Statistical Testing
    4. Software Circuit.
    5. eSTREAM

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