Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1966, Volume 2, Issue 1, Pages 91–95 (Mi ppi1949)  
Сorrespondence

The Correlation Between the Properties of a Binary Group Code and Those of its Null Space

V. I. Korzhik
Full-text PDF (645 kB)
Abstract: A new proof is given of a theorem on the linear dependence of the distribution of the weights of a code and of its null space. The connection is determined between the number of blocks of any length belonging to the code and some properties of its null space. A structural property of cyclic codes is found as a corollary.
Received: 18.03.1965
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:51
Language: Russian
Citation: V. I. Korzhik, “The Correlation Between the Properties of a Binary Group Code and Those of its Null Space”, Probl. Peredachi Inf., 2:1 (1966), 91–95; Problems Inform. Transmission, 2:1 (1966), 70–74
Citation in format AMSBIB
\Bibitem{Kor66}
\by V.~I.~Korzhik
\paper The Correlation Between the Properties of a~Binary Group Code and Those of its Null Space
\jour Probl. Peredachi Inf.
\yr 1966
\vol 2
\issue 1
\pages 91--95
\mathnet{http://mi.mathnet.ru/ppi1949}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=195644}
\zmath{https://zbmath.org/?q=an:0259.94015}
\transl
\jour Problems Inform. Transmission
\yr 1966
\vol 2
\issue 1
\pages 70--74
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