Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1984, Volume 25, Pages 209–257 (Mi intd77)  
This article is cited in 38 scientific papers (total in 39 papers)

Linear codes and modular curves

S. G. Vlăduţ, Yu. I. Manin
Full-text PDF (2408 kB) Citations (39)
Abstract: Results of recent investigations at the juncture of coding theory, the theory of computability, and algebraic geometry over finite fields are presented. The basic problems of the asymptotic theory of codes and Goppa's construction of codes on the basis of algebraic curves are presented, and a detailed algorithmic analysis is given of the codes arising on the modular curves of elliptic modules of V. G. Drinfel'd.
English version:
Journal of Soviet Mathematics, 1985, Volume 30, Issue 6, Pages 2611–2643
DOI: https://doi.org/10.1007/BF02249124
Bibliographic databases:
Document Type: Article
UDC: 519.725+512.624
Language: Russian
Citation: S. G. Vlăduţ, Yu. I. Manin, “Linear codes and modular curves”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 25, VINITI, Moscow, 1984, 209–257; J. Soviet Math., 30:6 (1985), 2611–2643
Citation in format AMSBIB
\Bibitem{VlaMan84}
\by S.~G.~Vl{\u a}du\c t, Yu.~I.~Manin
\paper Linear codes and modular curves
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1984
\vol 25
\pages 209--257
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd77}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=770943}
\zmath{https://zbmath.org/?q=an:0629.94013}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 30
\issue 6
\pages 2611--2643
\crossref{https://doi.org/10.1007/BF02249124}
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    • This publication is cited in the following 39 articles:
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