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Problemy Peredachi Informatsii, 1974, Volume 10, Issue 2, Pages 43–51 (Mi ppi1028)  
Coding Theory

Upper Bounds for the Number of Points of a Binary Code with a Specified Code Distance

V. M. Sidel'nikov
Full-text PDF (949 kB)
Abstract: An upper bound is obtained for the number of points of a binary code of length $n$ and code distance $d$; the new bound improves the Elias bound by a factor that grows exponentially with $n$; a new upper bound is also obtained for the number of points of a binary equilibrium code.
Received: 19.12.1973
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. M. Sidel'nikov, “Upper Bounds for the Number of Points of a Binary Code with a Specified Code Distance”, Probl. Peredachi Inf., 10:2 (1974), 43–51; Problems Inform. Transmission, 10:2 (1974), 124–131
Citation in format AMSBIB
\Bibitem{Sid74}
\by V.~M.~Sidel'nikov
\paper Upper Bounds for the Number of Points of a Binary Code with a Specified Code Distance
\jour Probl. Peredachi Inf.
\yr 1974
\vol 10
\issue 2
\pages 43--51
\mathnet{http://mi.mathnet.ru/ppi1028}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=479660}
\zmath{https://zbmath.org/?q=an:0315.94006}
\transl
\jour Problems Inform. Transmission
\yr 1974
\vol 10
\issue 2
\pages 124--131
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