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This article is cited in 3 scientific papers (total in 3 papers)
Codes on fiber products of hyperelliptic curves
S. A. Stepanov
Abstract:
The purpose of this paper is to construct a new
family of smooth projective curves over a finite field $F_q$ with
a lot of $F_q$-rational points. The genus in this family is
considerably less than the number of rational points, so that the
corresponding geometric Goppa codes have rather good parameters.
The work was supported by Bilkent University, 06533 Bilkent, Ankara, Turkey.
Received: 12.05.1996
Citation:
S. A. Stepanov, “Codes on fiber products of hyperelliptic curves”, Diskr. Mat., 9:1 (1997), 83–94; Discrete Math. Appl., 7:1 (1997), 77–88
Linking options:
https://www.mathnet.ru/eng/dm460https://doi.org/10.4213/dm460 https://www.mathnet.ru/eng/dm/v9/i1/p83
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