Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2020, Volume 11, Issue 3, Pages 121–138
DOI: https://doi.org/10.4213/mvk335
(Mi mvk335)
 

This article is cited in 5 scientific papers (total in 5 papers)

Construction of permutations on the space $V_{2m}$ by means of $(2m,m)$-functions

D. B. Fomin

National Research University Higher School of Economics, Moscow
Full-text PDF (501 kB) Citations (5)
References:
Abstract: We generalize the method of construction of permutations based on the Butterfly structure for the case of arbitrary arithmetic space with even dimension over the field of two elements. An approach to the construction of permutations by means of nonbalanced $(2m,m)$-functions with high nonlinearity is suggested.
Key words: substitution, vectorial Boolean function, nonlinearity.
Received 06.VII.2020
Document Type: Article
UDC: 519.719.2
Language: Russian
Citation: D. B. Fomin, “Construction of permutations on the space $V_{2m}$ by means of $(2m,m)$-functions”, Mat. Vopr. Kriptogr., 11:3 (2020), 121–138
Citation in format AMSBIB
\Bibitem{Fom20}
\by D.~B.~Fomin
\paper Construction of permutations on the space $V_{2m}$ by means of $(2m,m)$-functions
\jour Mat. Vopr. Kriptogr.
\yr 2020
\vol 11
\issue 3
\pages 121--138
\mathnet{http://mi.mathnet.ru/mvk335}
\crossref{https://doi.org/10.4213/mvk335}
Linking options:
  • https://www.mathnet.ru/eng/mvk335
  • https://doi.org/10.4213/mvk335
  • https://www.mathnet.ru/eng/mvk/v11/i3/p121
  • This publication is cited in the following 5 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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    Abstract page:308
    Full-text PDF :174
    References:47
    First page:9
     
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