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- W1509518159 abstract "In this paper we investigate nonlinear equivalence of stream ciphers over a finite field, exemplified by the pure LFSR-based filter generator over F2. We define a nonlinear equivalence class consisting of filter generators of length n that generate a binary keystream of period dividing 2n-1, and investigate certain cryptographic properties of the ciphers in this class. We show that a number of important cryptographic properties, such as algebraic immunity and nonlinearity, are not invariant among elements of the same equivalence class. It follows that analysis of cipher-components in isolation presents some limitations, as it most often involves investigating cryptographic properties that vary among equivalent ciphers. Thus in order to assess the resistance of a cipher against a certain type of attack, one should in theory determine the weakest equivalent cipher and not only a particular instance. This is however likely to be a very difficult task, when we consider the size of the equivalence class for ciphers used in practice; therefore assessing the exact cryptographic properties of a cipher appears to be notoriously difficult." @default.
- W1509518159 created "2016-06-24" @default.
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- W1509518159 date "2010-01-01" @default.
- W1509518159 modified "2023-09-26" @default.
- W1509518159 title "Nonlinear Equivalence of Stream Ciphers" @default.
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- W1509518159 doi "https://doi.org/10.1007/978-3-642-13858-4_3" @default.
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