Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2016, Volume 7, Issue 1, Pages 57–70
DOI: https://doi.org/10.4213/mvk174 (Mi mvk174) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The structure of Boolean functions spectra

G. I. Ivchenkoab, Yu. I. Medvedevab, V. A. Mironovaba

a MIEM NRU Higher School of Economics, Moscow
b Academy of Cryptography of the Russian Federation, Moscow
Full-text PDF (162 kB) Citations (1)
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DOI: https://doi.org/10.4213/mvk174
Abstract: The notion of the spectrum of the Boolean function $f$ of $n$ variables is defined, its properties are investigated. The stochastic case is considered also under the assumption that the function $f$ has the uniform distribution on the set $F_n = \{f\}$ of all Boolean functions of $n$ variables.
Key words: Boolean function, Walsh–Hadamard transform, the spectrum of a Boolean function, structure of the spectrum, structure distribution, limit theorems.
Funding agency Grant number
Академия криптографии РФ
Received 20.IV.2015
Bibliographic databases:
Document Type: Article
UDC: 519.719.2
Language: Russian
Citation: G. I. Ivchenko, Yu. I. Medvedev, V. A. Mironova, “The structure of Boolean functions spectra”, Mat. Vopr. Kriptogr., 7:1 (2016), 57–70
Citation in format AMSBIB
\Bibitem{IvcMedMir16}
\by G.~I.~Ivchenko, Yu.~I.~Medvedev, V.~A.~Mironova
\paper The structure of Boolean functions spectra
\jour Mat. Vopr. Kriptogr.
\yr 2016
\vol 7
\issue 1
\pages 57--70
\mathnet{http://mi.mathnet.ru/mvk174}
\crossref{https://doi.org/10.4213/mvk174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3562045}
\elib{https://elibrary.ru/item.asp?id=26475099}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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