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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 3, Pages 84–100 (Mi da613)  

This article is cited in 2 scientific papers (total in 2 papers)

On construction of vertex-transitive partitions of $n$-cube into perfect codes

F. I. Solov'evaab, G. K. Guskovab

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (308 kB) Citations (2)
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Abstract: Two approaches to construct vertex-transitive and 2-transitive partitions of $n$-cube into perfect codes are introduced along with the lower bounds on the number of inequivalent transitive, vertex-transitive and 2-transitive partitions of $n$-cube into perfect codes. Bibl. 16.
Keywords: perfect binary code, vertex-transitive partition, $k$-transitive partition of $n$-cube.
Received: 11.02.2010
Revised: 10.03.2010
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: F. I. Solov'eva, G. K. Guskov, “On construction of vertex-transitive partitions of $n$-cube into perfect codes”, Diskretn. Anal. Issled. Oper., 17:3 (2010), 84–100
Citation in format AMSBIB
\Bibitem{SolGus10}
\by F.~I.~Solov'eva, G.~K.~Guskov
\paper On construction of vertex-transitive partitions of $n$-cube into perfect codes
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 3
\pages 84--100
\mathnet{http://mi.mathnet.ru/da613}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2732275}
\zmath{https://zbmath.org/?q=an:1249.94062}
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  • https://www.mathnet.ru/eng/da/v17/i3/p84
  • 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
    Дискретный анализ и исследование операций
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    Abstract page:390
    Full-text PDF :113
    References:47
    First page:6
     
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