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 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1962, Volume 7, Issue 2, Pages 208–213 (Mi tvp4716)

Short Communications

Optimal Binary Codes for Small Rates of Transmission of Information

R. L. Dobrušin

Moscow

Abstract: Let us suppose that the input alphabet of a channel consists of two symbols. We consider the optimal method of transmission of $N$ code entries through the channel where the length of transmission is for $n\to\infty$ and $N=\operatorname{const}$. Formula (21) gives an asymptotic expression for the optimal probability of error if the transition matrix of the channel is symmetrical in a certain sense.

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English version:
Theory of Probability and its Applications, 1962, 7:2, 199–204

Citation: R. L. Dobrušin, “Optimal Binary Codes for Small Rates of Transmission of Information”, Teor. Veroyatnost. i Primenen., 7:2 (1962), 208–213; Theory Probab. Appl., 7:2 (1962), 199–204

Citation in format AMSBIB
\Bibitem{Dob62} \by R.~L.~Dobru{\v s}in \paper Optimal Binary Codes for Small Rates of Transmission of Information \jour Teor. Veroyatnost. i Primenen. \yr 1962 \vol 7 \issue 2 \pages 208--213 \mathnet{http://mi.mathnet.ru/tvp4716} \transl \jour Theory Probab. Appl. \yr 1962 \vol 7 \issue 2 \pages 199--204 \crossref{https://doi.org/10.1137/1107020} 

• http://mi.mathnet.ru/eng/tvp4716
• http://mi.mathnet.ru/eng/tvp/v7/i2/p208

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This publication is cited in the following articles:
1. V. V. Prelov, “Information theory in Dobrushin's scientific activity”, Russian Math. Surveys, 52:2 (1997), 245–249