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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2023, Volume 14, Issue 1, Pages 15–25
DOI: https://doi.org/10.4213/mvk428 (Mi mvk428) 		 
On approximations of Boolean functions by linear spreads

A. N. Veliguraab

a National Research Nuclear University MEPhI, Moscow
b Financial University under the Government of the Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk428
Abstract: We study approximations of Boolean functions by linear spreads, i. e. piecewise linear Boolean functions such that the domain of each piece is a linear manifold. The representation of the distance from the given Boolean function to the nearest linear spread is given in terms of spectral coefficients of the function. An algorithm for constructing the linear spread which is nearest to the given Boolean function for given spreading transform is suggested.
Key words: Boolean functions, linear functions, linear spreads.
Received 05.X.2022
Bibliographic databases:
Document Type: Article
UDC: 519.716.322+519.719.2
Language: Russian
Citation: A. N. Veligura, “On approximations of Boolean functions by linear spreads”, Mat. Vopr. Kriptogr., 14:1 (2023), 15–25
Citation in format AMSBIB
\Bibitem{Vel23}
\by A.~N.~Veligura
\paper On approximations of Boolean functions by linear spreads
\jour Mat. Vopr. Kriptogr.
\yr 2023
\vol 14
\issue 1
\pages 15--25
\mathnet{http://mi.mathnet.ru/mvk428}
\crossref{https://doi.org/10.4213/mvk428}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4593642}
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