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Diskretnyi Analiz i Issledovanie Operatsii, Ser. 1, 2006, Volume 13, Issue 1, Pages 77–98 (Mi da25)  
This article is cited in 7 scientific papers (total in 7 papers)

On enumeration of nonequivalent perfect binary codes of length 15 and rank 15

S. A. Malyugin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (313 kB) Citations (7)
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Abstract: All nonequivalent perfect binary codes of length 15 and rank 15 are constructed that are obtained from the Hamming code $H^{15}$ by translating its disjoint components. Also, the main invariants of this class of codes are determined such as the ranks, dimensions of kernels, and orders of automorphism groups.
Received: 11.11.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 1, Pages 77–89
DOI: https://doi.org/10.1134/S1990478907010085
Bibliographic databases:
UDC: 519.72
Language: Russian
Citation: S. A. Malyugin, “On enumeration of nonequivalent perfect binary codes of length 15 and rank 15”, Diskretn. Anal. Issled. Oper., Ser. 1, 13:1 (2006), 77–98; J. Appl. Industr. Math., 1:1 (2007), 77–89
Citation in format AMSBIB
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\by S.~A.~Malyugin
\paper On enumeration of nonequivalent perfect binary codes of length~15 and rank~15
\jour Diskretn. Anal. Issled. Oper., Ser.~1
\yr 2006
\vol 13
\issue 1
\pages 77--98
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2258905}
\zmath{https://zbmath.org/?q=an:1249.94060}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 1
\pages 77--89
\crossref{https://doi.org/10.1134/S1990478907010085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67849122764}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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