Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1977, Volume 13, Issue 1, Pages 3–18 (Mi ppi1062)  
This article is cited in 3 scientific papers (total in 3 papers)

Information Theory

Bounds on the Probability of Undetected Error

V. I. Levenshtein
Full-text PDF (1661 kB) Citations (3)
Abstract: New upper and lower bounds are obtained for the probability of undetected error for block codes in a binary symmetrical channel (BSC). These bounds improve the available bounds by a factor that increases exponentially with the block length $n$, provided that the transmission rate is fixed and does not exceed the capacity of the BSC. The resultant bounds are used to select the parameters of a quasioptimal code for transmission over a BSC with instantaneous and noiseless feedback.
Received: 04.11.1975
Bibliographic databases:
Document Type: Article
UDC: 621.391.15, 519.2
Language: Russian
Citation: V. I. Levenshtein, “Bounds on the Probability of Undetected Error”, Probl. Peredachi Inf., 13:1 (1977), 3–18; Problems Inform. Transmission, 13:1 (1977), 1–12
Citation in format AMSBIB
\Bibitem{Lev77}
\by V.~I.~Levenshtein
\paper Bounds on the Probability of Undetected Error
\jour Probl. Peredachi Inf.
\yr 1977
\vol 13
\issue 1
\pages 3--18
\mathnet{http://mi.mathnet.ru/ppi1062}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=689169}
\zmath{https://zbmath.org/?q=an:0355.94020}
\transl
\jour Problems Inform. Transmission
\yr 1977
\vol 13
\issue 1
\pages 1--12
Linking options:
  • https://www.mathnet.ru/eng/ppi1062
  • https://www.mathnet.ru/eng/ppi/v13/i1/p3
    • This publication is cited in the following 3 articles:
    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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    Abstract page:421
    Full-text PDF :216
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