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Problemy Peredachi Informatsii, 1988, Volume 24, Issue 1, Pages 11–24 (Mi ppi682)  
Information Theory and Coding Theory

On the Number of Minimum-Weight Words in Block Codes

A. A. Davydov, L. M. Tombak
Full-text PDF (1589 kB)
Abstract: Lower bounds on the number of minimum distances are considered for arbitrary block codes of given length, size, and base. These are lower bounds on the number of minimal-weight words for distance-invariant codes containing the null word. We apply the notion of uniformly packed code and MacWilliams's transform of the distance distribution of a code to derive the conditions when these bounds are attainable. Examples of codes attaining this bound are given.
Received: 17.12.1985
Revised: 30.07.1986
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: A. A. Davydov, L. M. Tombak, “On the Number of Minimum-Weight Words in Block Codes”, Probl. Peredachi Inf., 24:1 (1988), 11–24; Problems Inform. Transmission, 24:1 (1988), 7–18
Citation in format AMSBIB
\Bibitem{DavTom88}
\by A.~A.~Davydov, L.~M.~Tombak
\paper On the Number of Minimum-Weight Words in Block Codes
\jour Probl. Peredachi Inf.
\yr 1988
\vol 24
\issue 1
\pages 11--24
\mathnet{http://mi.mathnet.ru/ppi682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=939570}
\zmath{https://zbmath.org/?q=an:0675.94019|0657.94013}
\transl
\jour Problems Inform. Transmission
\yr 1988
\vol 24
\issue 1
\pages 7--18
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    		Проблемы передачи информации Problems of Information Transmission
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