Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2018, Volume 9, Issue 2, Pages 47–58
DOI: https://doi.org/10.4213/mvk252 (Mi mvk252) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The permutation group insight on the diffusion property of linear mappings

D. A. Burova, B. A. Pogorelovb

a TVP Laboratories, Moscow
b Academy of Cryptography of the Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk252
Abstract: We investigate the properties of linear mappings related to the structures of the group generated by S-box layer and the group of key addition layer, i. e. the translation group of a vector space. We propose new parameters characterizing the diffusion properties of linear mapping. A new characterization of MDS linear mappings is given. MDS linear mappings that have arisen to provide the security with respect to the differential and linear methods, as well as other components of the round transformation, may be synthesized on the base of the permutation groups theory.
Key words: block cipher, linear mapping, wreath product, exponentiation, structures of permutation groups, metrics.
Received 05.II.2017
Bibliographic databases:
Document Type: Article
UDC: 519.719.2
Language: English
Citation: D. A. Burov, B. A. Pogorelov, “The permutation group insight on the diffusion property of linear mappings”, Mat. Vopr. Kriptogr., 9:2 (2018), 47–58
Citation in format AMSBIB
\Bibitem{BurPog18}
\by D.~A.~Burov, B.~A.~Pogorelov
\paper The permutation group insight on the diffusion property of linear mappings
\jour Mat. Vopr. Kriptogr.
\yr 2018
\vol 9
\issue 2
\pages 47--58
\mathnet{http://mi.mathnet.ru/mvk252}
\crossref{https://doi.org/10.4213/mvk252}
\elib{https://elibrary.ru/item.asp?id=35276437}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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