This article is cited in 3 scientific papers (total in 3 papers)
Codes on fiber products of hyperelliptic curves
S. A. Stepanov
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.
PDF file (920 kB)
Discrete Mathematics and Applications, 1997, 7:1, 77–88
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
Citation in format AMSBIB
\paper Codes on fiber products of hyperelliptic curves
\jour Diskr. Mat.
\jour Discrete Math. Appl.
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This publication is cited in the following articles:
Ozbudak F., Stichtenoth H., “Curves with many points and configurations of hyperplanes over finite fields”, Finite Fields and Their Applications, 5:4 (1999), 436–449
Ozbudak F., “Codes on fibre products of some Kummer coverings”, Finite Fields and Their Applications, 5:2 (1999), 188–205
S. A. Stepanov, M. Kh. Shalalfekh, “Codes on fibre products of Artin–Schreier curves”, Discrete Math. Appl., 11:2 (2001), 133–143
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