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Problemy Peredachi Informatsii, 1980, Volume 16, Issue 2, Pages 18–24 (Mi ppi1437)  

Information Theory

Lower Bound for Ensemble-Average Error Probability for a Discrete Memoryless Channel

A. G. D'yachkov
Abstract: The article obtains a lower asymptotic bound for the average error probability over a standard ensemble of codes for the case of decoding using a list of fixed length $L\geq 1$ for a discrete memoryless channel. For all coding rates, this bound establishes the optimality of the exponent of the familiar Gallager upper bound [E. G. Gallager, Information Theory and Reliable Communication, Wiley, 1968].
Received: 24.05.1977
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.2
Language: Russian
Citation: A. G. D'yachkov, “Lower Bound for Ensemble-Average Error Probability for a Discrete Memoryless Channel”, Probl. Peredachi Inf., 16:2 (1980), 18–24; Problems Inform. Transmission, 16:2 (1980), 93–98
Citation in format AMSBIB
\Bibitem{Dya80}
\by A.~G.~D'yachkov
\paper Lower Bound for Ensemble-Average Error Probability for a~Discrete Memoryless Channel
\jour Probl. Peredachi Inf.
\yr 1980
\vol 16
\issue 2
\pages 18--24
\mathnet{http://mi.mathnet.ru/ppi1437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=624587}
\zmath{https://zbmath.org/?q=an:0452.94018}
\transl
\jour Problems Inform. Transmission
\yr 1980
\vol 16
\issue 2
\pages 93--98
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  • https://www.mathnet.ru/eng/ppi/v16/i2/p18
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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