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Problemy Peredachi Informatsii, 1999, Volume 35, Issue 3, Pages 40–47 (Mi ppi451)  
This article is cited in 1 scientific paper (total in 1 paper)

Coding Theory

Perfect Codes for Metrics Generated by Primitive 2-Error-Correcting Binary BCH Codes

È. M. Gabidulin, J. Simonis
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Abstract: For any positive integer m, a metric on $\mathbb F_2^{2m}$ is considered which is induced by the quasi-perfect $[2^m-1, 2^m-2m-1,5]$ binary BCH code. The isometry group is determined. Constructions of codes are given which are perfect with respect to this metric. In addition, easy decoding methods for these codes are proposed.
Received: 29.09.1998
Revised: 20.04.1999
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: È. M. Gabidulin, J. Simonis, “Perfect Codes for Metrics Generated by Primitive 2-Error-Correcting Binary BCH Codes”, Probl. Peredachi Inf., 35:3 (1999), 40–47; Problems Inform. Transmission, 35:3 (1999), 224–230
Citation in format AMSBIB
\Bibitem{GabSim99}
\by \`E.~M.~Gabidulin, J.~Simonis
\paper Perfect Codes for Metrics Generated by Primitive 2-Error-Correcting Binary~BCH Codes
\jour Probl. Peredachi Inf.
\yr 1999
\vol 35
\issue 3
\pages 40--47
\mathnet{http://mi.mathnet.ru/ppi451}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1730801}
\zmath{https://zbmath.org/?q=an:0977.94053}
\transl
\jour Problems Inform. Transmission
\yr 1999
\vol 35
\issue 3
\pages 224--230
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    • This publication is cited in the following 1 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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