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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2018, Volume 9, Issue 4, Pages 101–124
DOI: https://doi.org/10.4213/mvk272 (Mi mvk272) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements

V. N. Sachkov, I. A. Kruglov

Academy of Cryptography of the Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk272
Abstract: For the additive group of a vector space of increasing dimension $m$ over a field of two elements we study the moments of a random variable equal to the weight deficit of a random equiprobable involution formed by the product of $2^{m-1}$ independent binary cycles. Exact and asymptotic formulas for the binomial moments and for the variance are obtained.
Key words: random involutions, weight deficit, binomial moments.
Received 18.IV.2018
Bibliographic databases:
Document Type: Article
UDC: 519.212.2
Language: Russian
Citation: V. N. Sachkov, I. A. Kruglov, “Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements”, Mat. Vopr. Kriptogr., 9:4 (2018), 101–124
Citation in format AMSBIB
\Bibitem{SacKru18}
\by V.~N.~Sachkov, I.~A.~Kruglov
\paper Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements
\jour Mat. Vopr. Kriptogr.
\yr 2018
\vol 9
\issue 4
\pages 101--124
\mathnet{http://mi.mathnet.ru/mvk272}
\crossref{https://doi.org/10.4213/mvk272}
\elib{https://elibrary.ru/item.asp?id=37652155}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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