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Problemy Peredachi Informatsii, 2005, Volume 41, Issue 3, Pages 23–31 (Mi ppi104)  

This article is cited in 15 scientific papers (total in 15 papers)

Coding Theory

On Construction of Transitive Codes

F. I. Solov'eva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: Application of some known methods of code construction (such as the Vasil'ev, Plotkin, and Mollard methods) to transitive codes satisfying certain auxiliary conditions yields infinite classes of large-length transitive codes, in particular, at least $\lfloor k/2\rfloor^2$ nonequivalent perfect transitive codes of length $n=2^k-1$, $k>4$. A similar result is valid for extended perfect transitive codes.
Received: 05.04.2005
Revised: 30.05.2005
English version:
Problems of Information Transmission, 2005, Volume 41, Issue 3, Pages 204–211
DOI: https://doi.org/10.1007/s11122-005-0025-3
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: F. I. Solov'eva, “On Construction of Transitive Codes”, Probl. Peredachi Inf., 41:3 (2005), 23–31; Problems Inform. Transmission, 41:3 (2005), 204–211
Citation in format AMSBIB
\Bibitem{Sol05}
\by F.~I.~Solov'eva
\paper On~Construction of Transitive Codes
\jour Probl. Peredachi Inf.
\yr 2005
\vol 41
\issue 3
\pages 23--31
\mathnet{http://mi.mathnet.ru/ppi104}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2163848}
\zmath{https://zbmath.org/?q=an:1102.94029}
\transl
\jour Problems Inform. Transmission
\yr 2005
\vol 41
\issue 3
\pages 204--211
\crossref{https://doi.org/10.1007/s11122-005-0025-3}
Linking options:
  • https://www.mathnet.ru/eng/ppi104
  • https://www.mathnet.ru/eng/ppi/v41/i3/p23
  • This publication is cited in the following 15 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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    References:67
     
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