Periodic autocorrelation of sequences

October 15, 2024 Β· Declared Dead Β· πŸ› Cryptography and Communications

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Authors Florian Caullery, Eric F Γ‰rard, FranΓ§ois Rodier arXiv ID 2410.11347 Category cs.IT: Information Theory Citations 2 Venue Cryptography and Communications Last Checked 4 months ago
Abstract
The autocorrelation of a sequence is a useful criterion, among all, of resistance to cryptographic attacks. The behavior of the autocorrelations of random Boolean functions (studied by Florian Caullery, Eric FΓ©rard and FranΓ§ois Rodier [4]) shows that they are concentrated around a point. We show that the same is true for the evaluation of the periodic autocorrelations of random binary sequences.
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