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Problemy Peredachi Informatsii, 1984, Volume 20, Issue 1, Pages 47–55
(Mi ppi1120)
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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
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
Linking options:
https://www.mathnet.ru/eng/ppi1120 https://www.mathnet.ru/eng/ppi/v20/i1/p47
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