• DocumentCode
    327319
  • Title

    A type of recurring relations on sequences and efficient decoding of a class of algebraic-geometric codes

  • Author

    Li, Bao ; Xiao, Guo-zhen

  • Author_Institution
    Inst. of Software Eng., Acad. Sinica, Beijing, China
  • fYear
    1998
  • fDate
    16-21 Aug 1998
  • Firstpage
    94
  • Abstract
    A type of recurring relation is introduced on sequences. Some properties of this type of recurring relations are established and an algorithm for computing a minimal polynomial set of this type of recurring relation is presented. Then an efficient decoding algorithm up to half the Feng-Rao bound for a class of algebraic-geometric codes is proposed by developing a majority voting scheme of the recurring relation on the syndrome sequence of an error vector
  • Keywords
    algebraic geometric codes; computational complexity; decoding; polynomials; sequences; Feng-Rao bound; algebraic-geometric codes; efficient decoding; error vector; majority voting scheme; minimal polynomial set; recurring relations; sequences; syndrome sequence; Decoding; Hamming weight; Information security; Parity check codes; Polynomials; Software engineering; Vectors; Voting;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-7803-5000-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1998.708681
  • Filename
    708681