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Problemy Peredachi Informatsii, 1971, Volume 7, Issue 3, Pages 30–40 (Mi ppi1646)  
This article is cited in 2 scientific papers (total in 2 papers)

Coding Theory

One Method of Constructing Quasilinear Codes Providing Synchronization in the Presence of Errors

V. I. Levenshtein
Full-text PDF (1753 kB) Citations (2)
Abstract: A method is proposed for the construction of a family of codes of length $n$, these being the cosets of linear codes, providing synchronization in the presence of no more than t errors in $n$ successive symbols. Upper and lower bounds are obtained for the minimal redundancy of the codes of this family. From the bounds obtained follows the asymptotic expression for minimal redundancy under the condition that $t/n\to 0$.
Received: 25.06.1970
Bibliographic databases:
Document Type: Article
UDC: 621.391.154
Language: Russian
Citation: V. I. Levenshtein, “One Method of Constructing Quasilinear Codes Providing Synchronization in the Presence of Errors”, Probl. Peredachi Inf., 7:3 (1971), 30–40; Problems Inform. Transmission, 7:3 (1971), 215–222
Citation in format AMSBIB
\Bibitem{Lev71}
\by V.~I.~Levenshtein
\paper One Method of Constructing Quasilinear Codes Providing Synchronization in the Presence of Errors
\jour Probl. Peredachi Inf.
\yr 1971
\vol 7
\issue 3
\pages 30--40
\mathnet{http://mi.mathnet.ru/ppi1646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=335141}
\zmath{https://zbmath.org/?q=an:0305.94018}
\transl
\jour Problems Inform. Transmission
\yr 1971
\vol 7
\issue 3
\pages 215--222
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  • https://www.mathnet.ru/eng/ppi/v7/i3/p30
    • This publication is cited in the following 2 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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