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Problemy Peredachi Informatsii, 2004, Volume 40, Issue 1, Pages 27–39 (Mi ppi121)  
This article is cited in 38 scientific papers (total in 38 papers)

Coding Theory

Binary Perfect Codes of Length 15 by Generalized Concatenated Construction

V. A. Zinov'ev, D. V. Zinov'ev

Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (1392 kB) Citations (38)
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Abstract: We enumerate binary nonlinear perfect codes of length 15 obtained by the generalized concatenated (GC) construction. There are 15 different types of such codes. They are defined by pairs of MDS codes $A_i$: $(4,2,64)_4$. For every pair we give the number of nonequivalent codes of this type. In total, there are 777 nonequivalent binary perfect codes of length 15 obtained by the GC construction. This number includes the Hamming code (of rank 11), 18 Vasil'ev codes (of rank 12), and 758 codes of rank 13.
Received: 18.06.2003
English version:
Problems of Information Transmission, 2004, Volume 40, Issue 1, Pages 25–36
DOI: https://doi.org/10.1023/B:PRIT.0000024877.03232.39
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. A. Zinov'ev, D. V. Zinov'ev, “Binary Perfect Codes of Length 15 by Generalized Concatenated Construction”, Probl. Peredachi Inf., 40:1 (2004), 27–39; Problems Inform. Transmission, 40:1 (2004), 25–36
Citation in format AMSBIB
\Bibitem{ZinZin04}
\by V.~A.~Zinov'ev, D.~V.~Zinov'ev
\paper Binary Perfect Codes of Length~15 by Generalized Concatenated Construction
\jour Probl. Peredachi Inf.
\yr 2004
\vol 40
\issue 1
\pages 27--39
\mathnet{http://mi.mathnet.ru/ppi121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099017}
\zmath{https://zbmath.org/?q=an:1084.94022}
\transl
\jour Problems Inform. Transmission
\yr 2004
\vol 40
\issue 1
\pages 25--36
\crossref{https://doi.org/10.1023/B:PRIT.0000024877.03232.39}
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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