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Diskretnaya Matematika, 2019, Volume 31, Issue 2, Pages 69–76
DOI: https://doi.org/10.4213/dm1564 (Mi dm1564) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A method of construction of differentially $4$-uniform permutations over $V_{m}$ for even $m$

S. A. Davydov, I. A. Kruglov

Academy of Cryptography of Russian Federation
Full-text PDF (430 kB) Citations (1)
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DOI: https://doi.org/10.4213/dm1564
Abstract: A generalization of the method of C. Carlet for constructing differentially 4-uniform permutations of binary vector spaces in even dimension $2k$ is suggested. It consists in restricting APN-functions in $2k+1$ variables to a linear manifold of dimension $2k$. The general construction of the method is proposed and a criterion for its applicability is established. Power permutations to which this construction is applicable are completely described and a class of suitable not one-to-one functions is presented.
Keywords: vector space, binary vector, finite field, transformation, permutation, differential uniformity, nonlinearity.
Received: 31.01.2019
Revised: 05.05.2019
English version:
Discrete Mathematics and Applications, 2021, Volume 31, Issue 6, Pages 383–388
DOI: https://doi.org/10.1515/dma-2021-0033
Bibliographic databases:
Document Type: Article
UDC: 519.719.2+519.12
Language: Russian
Citation: S. A. Davydov, I. A. Kruglov, “A method of construction of differentially $4$-uniform permutations over $V_{m}$ for even $m$”, Diskr. Mat., 31:2 (2019), 69–76; Discrete Math. Appl., 31:6 (2021), 383–388
Citation in format AMSBIB
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\by S.~A.~Davydov, I.~A.~Kruglov
\paper A method of construction of differentially $4$-uniform permutations over $V_{m}$ for even $m$
\jour Diskr. Mat.
\yr 2019
\vol 31
\issue 2
\pages 69--76
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\crossref{https://doi.org/10.4213/dm1564}
\elib{https://elibrary.ru/item.asp?id=37652129}
\transl
\jour Discrete Math. Appl.
\yr 2021
\vol 31
\issue 6
\pages 383--388
\crossref{https://doi.org/10.1515/dma-2021-0033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000730399800001}
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  • https://doi.org/10.4213/dm1564
  • https://www.mathnet.ru/eng/dm/v31/i2/p69
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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