Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2015, Volume 6, Issue 3, Pages 5–17
DOI: https://doi.org/10.4213/mvk157
(Mi mvk157)
 

This article is cited in 4 scientific papers (total in 4 papers)

On transversals of homogeneous Latin squares

V. V. Borisenko

LLC "Certification Research Center", Moscow
Full-text PDF (136 kB) Citations (4)
References:
Abstract: We consider homogeneous Latin squares, i.e. Latin squares of order $2n$ with elements from $\{0,\dots,2n-1\}$ such that after reducing modulo $n$ we obtain $2n\times2n$-matrix consisting of four identical Latin squares of order $n$. The set of all transversals of homogeneous Latin squares is described in a general case; homogeneous Latin squares of order 10 are considered in more detail.
Key words: Latin square, transversal, transversal codes.
Received 30.V.2014
Bibliographic databases:
Document Type: Article
UDC: 519.143
Language: Russian
Citation: V. V. Borisenko, “On transversals of homogeneous Latin squares”, Mat. Vopr. Kriptogr., 6:3 (2015), 5–17
Citation in format AMSBIB
\Bibitem{Bor15}
\by V.~V.~Borisenko
\paper On transversals of homogeneous Latin squares
\jour Mat. Vopr. Kriptogr.
\yr 2015
\vol 6
\issue 3
\pages 5--17
\mathnet{http://mi.mathnet.ru/mvk157}
\crossref{https://doi.org/10.4213/mvk157}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3540243}
\elib{https://elibrary.ru/item.asp?id=25064788}
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  • https://doi.org/10.4213/mvk157
  • https://www.mathnet.ru/eng/mvk/v6/i3/p5
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические вопросы криптографии
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    Full-text PDF :197
    References:50
    First page:8
     
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