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Problemy Peredachi Informatsii, 1987, Volume 23, Issue 4, Pages 19–34 (Mi ppi827)  
This article is cited in 3 scientific papers (total in 3 papers)

Information Theory and Coding Theory

Spectra of Algebraic-Geometric Codes

G. L. Katsman, M. A. Tsfasman
Full-text PDF (1596 kB) Citations (3)
Abstract: We derive bounds on the enumerator of an arbitrary algebraic-geometric code. We calculate in full the weight distribution of the code constructed from all the points of an elliptical curve. The weight distribution (the enumerator) is found to depend on the group of points of this curve and on an element of this group. The number of minimum-weight vectors is minimized both by elements and by curves. The possibility that such a code is an MDS code is explored.
Received: 05.09.1987
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: G. L. Katsman, M. A. Tsfasman, “Spectra of Algebraic-Geometric Codes”, Probl. Peredachi Inf., 23:4 (1987), 19–34; Problems Inform. Transmission, 23:4 (1987), 262–275
Citation in format AMSBIB
\Bibitem{KatTsf87}
\by G.~L.~Katsman, M.~A.~Tsfasman
\paper Spectra of Algebraic-Geometric Codes
\jour Probl. Peredachi Inf.
\yr 1987
\vol 23
\issue 4
\pages 19--34
\mathnet{http://mi.mathnet.ru/ppi827}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=931714}
\zmath{https://zbmath.org/?q=an:0654.94016|0636.94015}
\transl
\jour Problems Inform. Transmission
\yr 1987
\vol 23
\issue 4
\pages 262--275
Linking options:
  • https://www.mathnet.ru/eng/ppi827
  • https://www.mathnet.ru/eng/ppi/v23/i4/p19
    • This publication is cited in the following 3 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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