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Problemy Peredachi Informatsii, 1983, Volume 19, Issue 2, Pages 14–22 (Mi ppi1172)  
Coding Theory

Two Decyclical Lengthening Methods for Block Codes

V. Yu. Krachkovskii
Full-text PDF (986 kB)
Abstract: The author proposes two lengthening methods for block codes that are variants of the constructs of decyclical lengthening. Their use makes it possible to construct new block codes with parameters that are better than the available ones. Suitable examples are given. By lengthening Hamming codes of length $2^m-1$ by $2m$ symbols, the author constructs a class of codes with minimum distance 7 and redundancy $3m$.
Received: 06.07.1981
Revised: 30.09.1982
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. Yu. Krachkovskii, “Two Decyclical Lengthening Methods for Block Codes”, Probl. Peredachi Inf., 19:2 (1983), 14–22; Problems Inform. Transmission, 19:2 (1983), 97–105
Citation in format AMSBIB
\Bibitem{Kra83}
\by V.~Yu.~Krachkovskii
\paper Two Decyclical Lengthening Methods for Block Codes
\jour Probl. Peredachi Inf.
\yr 1983
\vol 19
\issue 2
\pages 14--22
\mathnet{http://mi.mathnet.ru/ppi1172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=744615}
\zmath{https://zbmath.org/?q=an:0582.94021}
\transl
\jour Problems Inform. Transmission
\yr 1983
\vol 19
\issue 2
\pages 97--105
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    		Проблемы передачи информации Problems of Information Transmission
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