Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1982, Volume 18, Issue 3, Pages 3–6 (Mi ppi1231)  
This article is cited in 2 scientific papers (total in 2 papers)

Information Theory and Coding Theory

Goppa Codes That Are Better Than the Varshamov–Gilbert Bound

M. A. Tsfasman
Full-text PDF (491 kB) Citations (2)
Abstract: It is shown that there exist an infinite series of $q$-ary linear Goppa codes that arise from objects of algebraic geometry, whose parameters are asymptotically higher (as $n\to\infty$) than the Varshamov–Gilbert bound.
Received: 26.05.1981
Revised: 29.12.1981
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: M. A. Tsfasman, “Goppa Codes That Are Better Than the Varshamov–Gilbert Bound”, Probl. Peredachi Inf., 18:3 (1982), 3–6; Problems Inform. Transmission, 18:3 (1982), 163–166
Citation in format AMSBIB
\Bibitem{Tsf82}
\by M.~A.~Tsfasman
\paper Goppa Codes That Are Better Than the Varshamov--Gilbert Bound
\jour Probl. Peredachi Inf.
\yr 1982
\vol 18
\issue 3
\pages 3--6
\mathnet{http://mi.mathnet.ru/ppi1231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=711895}
\zmath{https://zbmath.org/?q=an:0503.94025}
\transl
\jour Problems Inform. Transmission
\yr 1982
\vol 18
\issue 3
\pages 163--166
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  • https://www.mathnet.ru/eng/ppi/v18/i3/p3
    • 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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