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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2013, Volume 4, Issue 4, Pages 49–63
DOI: https://doi.org/10.4213/mvk99 (Mi mvk99) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Symmetric Boolean functions and their metric properties matrices of transitions of differences when using some modular groups

G. I. Ivchenkoa, Yu. I. Medvedevb, V. A. Mironovaa

a NRU Higher School of Economics, Moscow
b Academy of Cryptography of the Russian Federation, Moscow
Full-text PDF (306 kB) Citations (3)
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DOI: https://doi.org/10.4213/mvk99
Abstract: Various metric properties of symmetric Boolean functions are analysed (including the case of random functions). The minimal and maximal distances from a given Boolean function to the set of symmetric functions (as well to its subsets) are found. The structure and the size of the set of functions which are the farthest from the symmetric functions set are investigated.
Key words: symmetric Boolean function, level vector, Hamming distance, probabilistic model, binomial deviation, limit theorems, $S$-functions.
Received 22.IV.2013
Document Type: Article
UDC: 519.212.2
Language: Russian
Citation: G. I. Ivchenko, Yu. I. Medvedev, V. A. Mironova, “Symmetric Boolean functions and their metric properties matrices of transitions of differences when using some modular groups”, Mat. Vopr. Kriptogr., 4:4 (2013), 49–63
Citation in format AMSBIB
\Bibitem{IvcMedMir13}
\by G.~I.~Ivchenko, Yu.~I.~Medvedev, V.~A.~Mironova
\paper Symmetric Boolean functions and their metric properties matrices of transitions of differences when using some modular groups
\jour Mat. Vopr. Kriptogr.
\yr 2013
\vol 4
\issue 4
\pages 49--63
\mathnet{http://mi.mathnet.ru/mvk99}
\crossref{https://doi.org/10.4213/mvk99}
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    • This publication is cited in the following 3 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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