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Further Results on the Relation Between Nonlinearity and Resiliency for Boolean Functions

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Cryptography and Coding (Cryptography and Coding 1999)

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Abstract

A good design of a Boolean function used in a stream cipher requires that the function satisfies certain criteria in order to resist different attacks. In this paper we study the tradeoff between two such criteria, the nonlinearity and the resiliency. The results are twofold. Firstly, we establish the maximum nonlinearity for a fixed resiliency in certain cases. Secondly, we present a simple search algorithm for finding Boolean functions with good nonlinearity and some fixed resiliency.

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© 1999 Springer-Verlag Berlin Heidelberg

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Pasalic, E., Johansson, T. (1999). Further Results on the Relation Between Nonlinearity and Resiliency for Boolean Functions. In: Walker, M. (eds) Cryptography and Coding. Cryptography and Coding 1999. Lecture Notes in Computer Science, vol 1746. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46665-7_3

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  • DOI: https://doi.org/10.1007/3-540-46665-7_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66887-9

  • Online ISBN: 978-3-540-46665-9

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