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Mat. Vopr. Kriptogr., 2019, Volume 10, Issue 2, Pages 159–168 (Mi mvk293)  

On a new classification of Boolean functions

S. N. Fedorov

Information Security Institute of Lomonosov Moscow State University, Moscow, Russia

Abstract: We discuss a recent approach to the study of Boolean functions. The approach is based on a notion of $\Delta$-equivalence class, which is a set of Boolean functions having the same autocorrelation function. Such a classification has an apparently useful property: a substantial number of cryptographic characteristics of Boolean functions are the same within any $\Delta$-equivalence class.

Key words: Boolean function, WalshHadamard transform, correlation immunity, propagation criterion, global avalanche characteristics.

DOI: https://doi.org/10.4213/mvk293

Full text: PDF file (186 kB)
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UDC: 519.719.2
Received 06.II.2018
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Citation: S. N. Fedorov, “On a new classification of Boolean functions”, Mat. Vopr. Kriptogr., 10:2 (2019), 159–168

Citation in format AMSBIB
\Bibitem{Fed19}
\by S.~N.~Fedorov
\paper On a new classification of Boolean functions
\jour Mat. Vopr. Kriptogr.
\yr 2019
\vol 10
\issue 2
\pages 159--168
\mathnet{http://mi.mathnet.ru/mvk293}
\crossref{https://doi.org/10.4213/mvk293}


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