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Problemy Peredachi Informatsii, 1984, Volume 20, Issue 1, Pages 47–55 (Mi ppi1120)  

This article is cited in 2 scientific papers (total in 2 papers)

Coding Theory

Modular Curves and Codes with Polynomial Construction Complexity

S. G. Vlăduţ, G. L. Katsman, M. A. Tsfasman
Abstract: The authors construct and analyze linear $q$-ary codes that arise from modular Drinfeld, and the associated binary codes. All these codes have polynomial complexity of construction and “good” asymptotic parameters: $q4-ary codes for $q=p^{2m}\geq 49$ lie above the Varshamov–Gilbert bound on some segment, while binary codes lie above the Blokh–Zyablov bound everywhere.
Received: 02.08.1982
Revised: 15.04.1983
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:519.72
Language: Russian
Citation: S. G. Vlăduţ, G. L. Katsman, M. A. Tsfasman, “Modular Curves and Codes with Polynomial Construction Complexity”, Probl. Peredachi Inf., 20:1 (1984), 47–55; Problems Inform. Transmission, 20:1 (1984), 35–42
Citation in format AMSBIB
\Bibitem{VlaKatTsf84}
\by S.~G.~Vl{\u a}du\c t, G.~L.~Katsman, M.~A.~Tsfasman
\paper Modular Curves and Codes with Polynomial Construction Complexity
\jour Probl. Peredachi Inf.
\yr 1984
\vol 20
\issue 1
\pages 47--55
\mathnet{http://mi.mathnet.ru/ppi1120}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=776765}
\zmath{https://zbmath.org/?q=an:0555.94008}
\transl
\jour Problems Inform. Transmission
\yr 1984
\vol 20
\issue 1
\pages 35--42
Linking options:
  • https://www.mathnet.ru/eng/ppi1120
  • https://www.mathnet.ru/eng/ppi/v20/i1/p47
  • 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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