Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2018, Volume 9, Issue 2, Pages 59–70
DOI: https://doi.org/10.4213/mvk256 (Mi mvk256) 		 
Group properties of block ciphers of the Russian standards GOST R 34.11-2012 and GOST R 34.12-2015

V. V. Vlasovaa, M. A. Pudovkinab

a Kaspersky Lab, Moscow
b Bauman Moscow State Technical University, Moscow
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DOI: https://doi.org/10.4213/mvk256
Abstract: A group generated by the set of the round functions is often used to describe properties of a block cipher. The results obtained by A. S. Maslov in 2007 are used to prove that round functions of Kuznyechik and Stribog generate the alternating groups. We prove a theorem on the mixing properties of linear transformations and apply this theorem to the family of Stribog-like ciphers (Stribog, Anubis, etc.).
Key words: GOST R 34.11–2012, GOST R 34.12–2015, Kuznyechik, Stribog, permutation groups, alternating group, linear transformation of block cipher.
Received 03.II.2017
Bibliographic databases:
Document Type: Article
UDC: 519.719.2
Language: English
Citation: V. V. Vlasova, M. A. Pudovkina, “Group properties of block ciphers of the Russian standards GOST R 34.11-2012 and GOST R 34.12-2015”, Mat. Vopr. Kriptogr., 9:2 (2018), 59–70
Citation in format AMSBIB
\Bibitem{VlaPud18}
\by V.~V.~Vlasova, M.~A.~Pudovkina
\paper Group properties of block ciphers of the Russian standards GOST R 34.11-2012 and GOST R 34.12-2015
\jour Mat. Vopr. Kriptogr.
\yr 2018
\vol 9
\issue 2
\pages 59--70
\mathnet{http://mi.mathnet.ru/mvk256}
\crossref{https://doi.org/10.4213/mvk256}
\elib{https://elibrary.ru/item.asp?id=35276438}
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