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Problemy Peredachi Informatsii, 1991, Volume 27, Issue 3, Pages 16–29 (Mi ppi567)  
Information Theory and Coding Theory

On Existence of Fixed Convolutional Codes of Rate $2/c$ for $c\ge 4$ that Attain the Costello Bound

K. Sh. Zigangirov, V. V. Chepyzhov
Full-text PDF (1176 kB)
Abstract: We establish lower bounds for the weights of codewords generated by fixed convolutional codes of rate $R=2/c$ with $c\ge 4$. The bounds are derived for three types of input sequences. The results imply the existence of fixed convolutional codes of rate $2/c$ whose free distance $d_{\rm free}$ asymptotically achieves the Costello bound.
Received: 08.01.1990
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: K. Sh. Zigangirov, V. V. Chepyzhov, “On Existence of Fixed Convolutional Codes of Rate $2/c$ for $c\ge 4$ that Attain the Costello Bound”, Probl. Peredachi Inf., 27:3 (1991), 16–29; Problems Inform. Transmission, 27:3 (1991), 199–211
Citation in format AMSBIB
\Bibitem{ZigChe91}
\by K.~Sh.~Zigangirov, V.~V.~Chepyzhov
\paper On Existence of Fixed Convolutional Codes of Rate $2/c$ for $c\ge 4$ that Attain the Costello Bound
\jour Probl. Peredachi Inf.
\yr 1991
\vol 27
\issue 3
\pages 16--29
\mathnet{http://mi.mathnet.ru/ppi567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1140904}
\zmath{https://zbmath.org/?q=an:0744.94011}
\transl
\jour Problems Inform. Transmission
\yr 1991
\vol 27
\issue 3
\pages 199--211
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    		Проблемы передачи информации Problems of Information Transmission
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