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Diskretnaya Matematika, 1997, Volume 9, Issue 1, Pages 83–94
DOI: https://doi.org/10.4213/dm460 (Mi dm460) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Codes on fiber products of hyperelliptic curves

S. A. Stepanov
Full-text PDF (920 kB) Citations (3)
DOI: https://doi.org/10.4213/dm460
Abstract: The purpose of this paper is to construct a new family of smooth projective curves over a finite field Fq with a lot of Fq-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
Bibliographic databases:
UDC: 519.72
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Ste97}
\by S.~A.~Stepanov
\paper Codes on fiber products of hyperelliptic curves
\jour Diskr. Mat.
\yr 1997
\vol 9
\issue 1
\pages 83--94
\mathnet{http://mi.mathnet.ru/dm460}
\crossref{https://doi.org/10.4213/dm460}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1454181}
\zmath{https://zbmath.org/?q=an:0993.76522|0904.94026}
\transl
\jour Discrete Math. Appl.
\yr 1997
\vol 7
\issue 1
\pages 77--88
Linking options:
  • https://www.mathnet.ru/eng/dm460
  • https://doi.org/10.4213/dm460
  • https://www.mathnet.ru/eng/dm/v9/i1/p83
    • This publication is cited in the following 3 articles:
    1. S. A. Stepanov, M. Kh. Shalalfekh, “Codes on fibre products of Artin–Schreier curves”, Discrete Math. Appl., 11:2 (2001), 133–143  mathnet  crossref  mathscinet  zmath
    2. 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  crossref  mathscinet  zmath  isi  scopus
    3. Ozbudak F., “Codes on fibre products of some Kummer coverings”, Finite Fields and Their Applications, 5:2 (1999), 188–205  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
    Statistics & downloads:
    Abstract page:473
    Full-text PDF :248
    References:1
    First page:3
     
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