M. M. Gluhov, “On a method of construction of orthogonal quasigroup systems by means of groups”, Mat. Vopr. Kriptogr., 2:4 (2011), 5

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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2011, Volume 2, Issue 4, Pages 5–24
DOI: https://doi.org/10.4213/mvk40 (Mi mvk40)

This article is cited in 13 scientific papers (total in 14 papers)

On a method of construction of orthogonal quasigroup systems by means of groups

M. M. Gluhov

Academy of Cryptography of Russian Federation, Moscow

Full-text PDF (643 kB) Citations (14)

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DOI: https://doi.org/10.4213/mvk40

Abstract: We suggest a method of construction of orthogonal quasigroups systems and orthogonal Latin squares by means of Frobenius groups. It is proved that this method generalizes many (but not all) existing methods of orthogonal Latin squares construction by means of groups.

Key words: quasigroup, Latin square, system of orthogonal quasigroups, orthogonal Latin squares, regular set of permutations, regular automorphism of a group.

Received 23.VI.2010

Document Type: Article

UDC: 512.548.7

Language: Russian

Citation: M. M. Gluhov, “On a method of construction of orthogonal quasigroup systems by means of groups”, Mat. Vopr. Kriptogr., 2:4 (2011), 5–24

Citation in format AMSBIB

\Bibitem{Glu11}

\by M.~M.~Gluhov

\paper On a method of construction of orthogonal quasigroup systems by means of groups

\jour Mat. Vopr. Kriptogr.

\yr 2011

\vol 2

\issue 4

\pages 5--24

\mathnet{http://mi.mathnet.ru/mvk40}

\crossref{https://doi.org/10.4213/mvk40}

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https://www.mathnet.ru/eng/mvk40

https://doi.org/10.4213/mvk40

https://www.mathnet.ru/eng/mvk/v2/i4/p5

This publication is cited in the following 14 articles:

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