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Diskretnaya Matematika, 2023, Volume 35, Issue 3, Pages 37–44
DOI: https://doi.org/10.4213/dm1758 (Mi dm1758) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On linear equivalence of piecewise-linear permutations of the field $\mathbb{F}_{2^{n}}$

A. V. Menyachikhin

TVP Laboratories
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DOI: https://doi.org/10.4213/dm1758
Abstract: We study conditions for linear equivalence of piecewise-linear and partially defined piecewise-linear permutations of the field $\mathbb{F}_{2^{n}}$.
Keywords: nonlinear mixing transform, permutation of a finite field, orthomorphism, involution, $s$-box, piecewise-linear mapping, adapted spectral-differential method.
Received: 11.01.2023
Published: 29.08.2023
English version:
Discrete Mathematics and Applications, 2024, Volume 34, Issue 6, Pages 331–336
DOI: https://doi.org/10.1515/dma-2024-0029
Document Type: Article
UDC: 519.719.2+512.542.74
Language: Russian
Citation: A. V. Menyachikhin, “On linear equivalence of piecewise-linear permutations of the field $\mathbb{F}_{2^{n}}$”, Diskr. Mat., 35:3 (2023), 37–44; Discrete Math. Appl., 34:6 (2024), 331–336
Citation in format AMSBIB
\Bibitem{Men23}
\by A.~V.~Menyachikhin
\paper On linear equivalence of piecewise-linear permutations of the field $\mathbb{F}_{2^{n}}$
\jour Diskr. Mat.
\yr 2023
\vol 35
\issue 3
\pages 37--44
\mathnet{http://mi.mathnet.ru/dm1758}
\crossref{https://doi.org/10.4213/dm1758}
\transl
\jour Discrete Math. Appl.
\yr 2024
\vol 34
\issue 6
\pages 331--336
\crossref{https://doi.org/10.1515/dma-2024-0029}
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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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