• DocumentCode
    2620751
  • Title

    On algebraic geometric codes from singular projective curves over GF(2m)

  • Author

    Moreno, Oscar ; Zinoviev, Victor A. ; Zinoviev, Dmitrii V. ; Polemi, Despina

  • Author_Institution
    Dept. of Math., Puerto Rico Univ., Rio Piedras, Puerto Rico
  • fYear
    1994
  • fDate
    27 Jun-1 Jul 1994
  • Firstpage
    157
  • Abstract
    Using known techniques of desingularization of singular projective curves over finite fields, we found several new planar and non planar curves with genuses 3 and 4, whose number of Fq-rational points meet or are close to Serre´s upper bound
  • Keywords
    Galois fields; Goppa codes; algebraic geometric codes; Galois field; Goppa codes; algebraic geometric codes; binary linear codes; desingularization; finite fields; non-planar curves; planar curves; singular projective curves; upper bound; Algebra; Contracts; Galois fields; Gold; Integral equations; Linear code; Mathematics; Polynomials; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
  • Conference_Location
    Trondheim
  • Print_ISBN
    0-7803-2015-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1994.394815
  • Filename
    394815