• DocumentCode
    586661
  • Title

    Improved multipoint codes from Hermitian curves

  • Author

    Fujisawa, Masahiko ; Sakata, Shiro

  • Author_Institution
    Dept. of Ind. Manage. & Eng., Tokyo Univ. of Sci., Tokyo, Japan
  • fYear
    2012
  • fDate
    28-31 Oct. 2012
  • Firstpage
    431
  • Lastpage
    435
  • Abstract
    Multipoint codes are a broad class of algebraic geometry codes derived from algebraic functions which have multiple poles and/or zeros on their defining curves. Thus, they are more general than one-point codes which are an important class of algebraic codes. In this paper, we give several improved codes of multipoint codes derived from Hermitian curves by using an improving method introduced by Feng and Rao for one-point codes.
  • Keywords
    Hermitian matrices; algebraic codes; geometric codes; Hermitian curves; algebraic functions; algebraic geometry codes; improved multipoint codes; one-point codes; Cost accounting; Decoding; Educational institutions; Geometry; Poles and zeros; Polynomials; Redundancy;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory and its Applications (ISITA), 2012 International Symposium on
  • Conference_Location
    Honolulu, HI
  • Print_ISBN
    978-1-4673-2521-9
  • Type

    conf

  • Filename
    6400970