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Problemy Peredachi Informatsii, 1975, Volume 11, Issue 3, Pages 14–20 (Mi ppi1591)  
Coding Theory

An Upper Bound on the Volume of $q$-ary Codes

V. R. Sidorenko
Full-text PDF (319 kB)
Abstract: An analog of Sidel'nikov's lemma [Probl. Inf. Trans., 1974, vol. 10, no. 2, pp. 124–131] is obtained for $q$-ary codes with a specified vector composition. Upper bounds are obtained for the volume of codes with a specified vector composition and for arbitrary codes. An upper bound is obtained for the exponent of the volume of an arbitrary $q$-ary code that is uniformly superior to the Elias bound.
Received: 27.03.1974
Revised: 10.02.1975
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. R. Sidorenko, “An Upper Bound on the Volume of $q$-ary Codes”, Probl. Peredachi Inf., 11:3 (1975), 14–20; Problems Inform. Transmission, 11:3 (1975), 190–194
Citation in format AMSBIB
\Bibitem{Sid75}
\by V.~R.~Sidorenko
\paper An Upper Bound on the Volume of $q$-ary Codes
\jour Probl. Peredachi Inf.
\yr 1975
\vol 11
\issue 3
\pages 14--20
\mathnet{http://mi.mathnet.ru/ppi1591}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=484739}
\zmath{https://zbmath.org/?q=an:0328.94009}
\transl
\jour Problems Inform. Transmission
\yr 1975
\vol 11
\issue 3
\pages 190--194
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