On the number of ℓ-suitable Boolean functions in constructions of filter and combining models of stream ciphers T. A. Bonich, M. A. Panferov, N. N. Tokareva
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ArticleContent type: Текст Media type: электронный Other title: О числе ℓ-подходящих булевых функций в конструкциях фильтрующей и комбинирующей моделей поточных шифров [Parallel title]Subject(s): поточные шифры | фильтрующие генераторы | комбинирующие генераторы | булевы функцииGenre/Form: статьи в журналах Online resources: Click here to access online
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Прикладная дискретная математика № 62. С. 21-28Abstract: It is well known that every stream cipher is based on a good pseudorandom generator. For cryptographic purposes, we are interested in generating pseudorandom sequences with the maximum possible period. A feedback register is one of the most known cryptographic primitives that is used to construct stream ciphers. We consider periodic properties of pseudorandom sequences produced by filter and combiner generators (two known schemes of stream generators based on feedback registers). We analyze functions in these schemes that lead to output sequences of period at least a given number I. We call such functions l-suitable and count the exact number of them for an arbitrary n.
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It is well known that every stream cipher is based on a good pseudorandom generator. For cryptographic purposes, we are interested in generating pseudorandom sequences with the maximum possible period. A feedback register is one of the most known cryptographic primitives that is used to construct stream ciphers. We consider periodic properties of pseudorandom sequences produced by filter and combiner generators (two known schemes of stream generators based on feedback registers). We analyze functions in these schemes that lead to output sequences of period at least a given number I. We call such functions l-suitable and count the exact number of them for an arbitrary n.
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