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Diskretnaya Matematika, 2021, Volume 33, Issue 2, Pages 31–45
DOI: https://doi.org/10.4213/dm1638 (Mi dm1638) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the existence of special nonlinear invariants for round functions of XSL-ciphers

D. A. Burov

TVP Laboratory
Full-text PDF (466 kB) Citations (5)
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DOI: https://doi.org/10.4213/dm1638
Abstract: Nonlinear invariants of round transformations in XSL-schemes are studied. The emphasis is on invariants which may be found by means of the approach suggested at the conference ASIACRYPT 2016. Some known results on the inertia groups of decomposable functions are used to describe conditions on S-boxes and matrices of XSL-schemes which are necessary for the existence of such invariants. It is shown that for a number of schemes these conditions are not satisfied.
Keywords: nonlinear invariant attack, block ciphers, “Kuznyechik”, AES, function decomposition.
Received: 20.09.2020
English version:
Discrete Mathematics and Applications, 2023, Volume 33, Issue 2, Pages 65–75
DOI: https://doi.org/10.1515/dma-2023-0007
Document Type: Article
UDC: 519.719.2
Language: Russian
Citation: D. A. Burov, “On the existence of special nonlinear invariants for round functions of XSL-ciphers”, Diskr. Mat., 33:2 (2021), 31–45; Discrete Math. Appl., 33:2 (2023), 65–75
Citation in format AMSBIB
\Bibitem{Bur21}
\by D.~A.~Burov
\paper On the existence of special nonlinear invariants for round functions of XSL-ciphers
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 2
\pages 31--45
\mathnet{http://mi.mathnet.ru/dm1638}
\crossref{https://doi.org/10.4213/dm1638}
\transl
\jour Discrete Math. Appl.
\yr 2023
\vol 33
\issue 2
\pages 65--75
\crossref{https://doi.org/10.1515/dma-2023-0007}
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    • 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
    		Дискретная математика
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