Titlebook: Cryptography and Coding; 7th IMA Internationa Michael Walker Conference proceedings 1999 Springer-Verlag Berlin Heidelberg 1999 AES.Boolean

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Cryptography and Coding978-3-540-46665-9Series ISSN 0302-9743 Series E-ISSN 1611-3349

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anesthesia

The Political and Economic Background. 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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Deduct

The Political and Economic Backgroundhold behaviour has been studied in many situations outside coding theory and a number of tools have been developped. One of those turns out to be particularly relevant to coding, namely the derivation of isoperimetric inequalities for product measures on Hamming spaces. we discuss this approach and derive consequences.

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The Political and Economic Backgroundhe rectangular complement operation. The notions of rectangular closure and basis were already defined. In this paper we represent a method to construct a rectangular basis of a linear code from a given linear basis.

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The Political and Economic Backgroundally efficient algorithm to determine whether or not a time-varying convolutional encoder is catastrophic is derived. This algorithm is shown to be simpler than the catastrophicity test proposed by Balakirsky [.]. Furthermore, the algorithm can easily be generalised to rate . time-varying convolutional encoders.

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Michael WalkerIncludes supplementary material:

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https://doi.org/10.1007/3-540-46665-7AES; Boolean Functions; Coding; Data Encryption; Decoding Algorithms; Error-Correcting Codes; Error-correc