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Problemy Peredachi Informatsii, 1987, Volume 23, Issue 1, Pages 28–41 (Mi ppi730)  

This article is cited in 1 scientific paper (total in 1 paper)

Coding Theory

An Exhaustion Bound for Algebraic-Geometric “Modular” Codes

S. G. Vlăduţ
Abstract: We construct a new lower bound for asymptotic parameters of codes arising from modular curves. For $q=4,9,16,25$, it is identical to the Varshamov–Gilbert bound, whereas for $q=p^{2a}\geq 49$ it improves the best known lower bound in two ranges of $\delta$.
Received: 14.03.1985
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:519.725
Language: Russian
Citation: S. G. Vlăduţ, “An Exhaustion Bound for Algebraic-Geometric “Modular” Codes”, Probl. Peredachi Inf., 23:1 (1987), 28–41; Problems Inform. Transmission, 23:1 (1987), 22–34
Citation in format AMSBIB
\Bibitem{Vla87}
\by S.~G.~Vl{\u a}du\c t
\paper An Exhaustion Bound for Algebraic-Geometric ``Modular'' Codes
\jour Probl. Peredachi Inf.
\yr 1987
\vol 23
\issue 1
\pages 28--41
\mathnet{http://mi.mathnet.ru/ppi730}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=893967}
\zmath{https://zbmath.org/?q=an:0642.94030}
\transl
\jour Problems Inform. Transmission
\yr 1987
\vol 23
\issue 1
\pages 22--34
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  • https://www.mathnet.ru/eng/ppi730
  • https://www.mathnet.ru/eng/ppi/v23/i1/p28
  • This publication is cited in the following 1 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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