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Fundamentalnaya i Prikladnaya Matematika, 2015, Volume 20, Issue 1, Pages 205–222 (Mi fpm1633)  
This article is cited in 26 scientific papers (total in 26 papers)

Cryptographic algorithms on groups and algebras

A. S. Kuzmina, V. T. Markovb, A. A. Mikhalevb, A. V. Mikhalevb, A. A. Nechaev

a Academy of Cryptography of Russian Federation
b Lomonosov Moscow State University
Full-text PDF (209 kB) Citations (26)
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Abstract: We analyze algorithms for open construction of a key on some noncommutative group. Algorithms of factorization and decomposition for associative algebras (of small dimension) are considered. A survey of applications (in particular, in cryptography) of so-called “hidden matrices” is given.
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 223, Issue 5, Pages 629–641
DOI: https://doi.org/10.1007/s10958-017-3371-y
Bibliographic databases:
Document Type: Article
UDC: 512.624.95+512.552.12+512.8
Language: Russian
Citation: A. S. Kuzmin, V. T. Markov, A. A. Mikhalev, A. V. Mikhalev, A. A. Nechaev, “Cryptographic algorithms on groups and algebras”, Fundam. Prikl. Mat., 20:1 (2015), 205–222; J. Math. Sci., 223:5 (2017), 629–641
Citation in format AMSBIB
\Bibitem{KuzMarMik15}
\by A.~S.~Kuzmin, V.~T.~Markov, A.~A.~Mikhalev, A.~V.~Mikhalev, A.~A.~Nechaev
\paper Cryptographic algorithms on groups and algebras
\jour Fundam. Prikl. Mat.
\yr 2015
\vol 20
\issue 1
\pages 205--222
\mathnet{http://mi.mathnet.ru/fpm1633}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3451671}
\elib{https://elibrary.ru/item.asp?id=25686556}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 223
\issue 5
\pages 629--641
\crossref{https://doi.org/10.1007/s10958-017-3371-y}
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  • https://www.mathnet.ru/eng/fpm1633
  • https://www.mathnet.ru/eng/fpm/v20/i1/p205
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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