Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2013, Volume 4, Issue 4, Pages 27–47
DOI: https://doi.org/10.4213/mvk98
(Mi mvk98)
 

This article is cited in 9 scientific papers (total in 10 papers)

On the matrices of transitions of differences for some modular groups

M. M. Glukhov

Academy of Cryptography of the Russian Federation, Moscow
References:
Abstract: Let $G_t$ be a translation group in a direct sum of groups $(Z/2^t,+)$. For the system of substitutions $G_rhG_s$ of order $2^n$ the matrices of digram transitions are investigated. A well-known hypothesis on the nonexistence of APN-substitutions of the field $GF(2^n)$ for even $n$ is partly verified. Some methods of construction of differentially $4$-uniform substitutions are suggested.
Key words: modular group, difference characteristics, systems of substitutions, APN-functions.
Received 22.IV.2013
Document Type: Article
UDC: 512.542.74
Language: Russian
Citation: M. M. Glukhov, “On the matrices of transitions of differences for some modular groups”, Mat. Vopr. Kriptogr., 4:4 (2013), 27–47
Citation in format AMSBIB
\Bibitem{Glu13}
\by M.~M.~Glukhov
\paper On the matrices of transitions of differences for some modular groups
\jour Mat. Vopr. Kriptogr.
\yr 2013
\vol 4
\issue 4
\pages 27--47
\mathnet{http://mi.mathnet.ru/mvk98}
\crossref{https://doi.org/10.4213/mvk98}
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  • https://doi.org/10.4213/mvk98
  • https://www.mathnet.ru/eng/mvk/v4/i4/p27
  • This publication is cited in the following 10 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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