• DocumentCode
    3064723
  • Title

    Fast erasure and error decoding of algebraic geometry codes up to the Feng-Rao bound

  • Author

    Sakata, Shojiro ; Leonard, Douglas A. ; Jensen, Helge Elbrønd ; Høholdt, Tom

  • Author_Institution
    Dept. of Comput. Sci. & Inf. Math., Univ. of Electro-Commun., Tokyo, Japan
  • fYear
    1997
  • fDate
    29 Jun-4 Jul 1997
  • Firstpage
    382
  • Abstract
    We present an erasure- and error decoding algorithm of one-point algebraic geometry codes up to the Feng-Rao designed distance using Sakata´s (see Proceedings of the 1995 IEEE-ISIT, Whistler, Canada) multidimensional generalization of the Berlekamp-Massey algorithm and the voting procedure of Feng and Rao (1993)
  • Keywords
    BCH codes; algebraic geometric codes; coding errors; decoding; BCH codes; Berlekamp-Massey algorithm; Feng and Rao; Sakata´s multidimensional generalization; error decoding algorithm; fast erasure; one-point algebraic geometry codes; Algorithm design and analysis; Code standards; Computer errors; Decoding; Geometry; Iterative algorithms; Mathematics; Multidimensional systems; Polynomials; Voting;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
  • Conference_Location
    Ulm
  • Print_ISBN
    0-7803-3956-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1997.613319
  • Filename
    613319