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Problemy Peredachi Informatsii, 2003, Volume 39, Issue 3, Pages 28–39 (Mi ppi306)  
This article is cited in 5 scientific papers (total in 5 papers)

Information Theory and Coding Theory

The Extended Binomial Moments of a Linear Code and the Undetected Error Probability

R. D. Dodunekova

Department of Mathematical Sciences, Chalmers University of Technology and the University of Göteborg
Full-text PDF (1189 kB) Citations (5)
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Abstract: Extended binomial moments of a linear code, introduced in this paper, are synonymously related to the code weight distribution and linearly to its binomial moments. In contrast to the latter, the extended binomial moments are monotone, which makes them appropriate for studying the undetected error probability. We establish some properties of the extended binomial moments and, based on this, derive new lower and upper bounds on the probability of undetected error. Also, we give a simplification of some previously obtained sufficient conditions for proper and good codes, stated in terms of the extended binomial moments.
Received: 03.06.2002
Revised: 28.01.2003
English version:
Problems of Information Transmission, 2003, Volume 39, Issue 3, Pages 255–265
DOI: https://doi.org/10.1023/A:1026162531539
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: R. D. Dodunekova, “The Extended Binomial Moments of a Linear Code and the Undetected Error Probability”, Probl. Peredachi Inf., 39:3 (2003), 28–39; Problems Inform. Transmission, 39:3 (2003), 255–265
Citation in format AMSBIB
\Bibitem{Dod03}
\by R.~D.~Dodunekova
\paper The Extended Binomial Moments of a Linear Code and the Undetected Error Probability
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 3
\pages 28--39
\mathnet{http://mi.mathnet.ru/ppi306}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099860}
\zmath{https://zbmath.org/?q=an:1072.94015}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 3
\pages 255--265
\crossref{https://doi.org/10.1023/A:1026162531539}
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    • This publication is cited in the following 5 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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