• DocumentCode
    1414286
  • Title

    An explicit construction of a sequence of codes attaining the Tsfasman-Vladut-Zink bound. The first steps

  • Author

    Voss, Conny ; Høholdt, Tom

  • Author_Institution
    Math. Inst., Tech. Univ. Denmark, Lyngby, Denmark
  • Volume
    43
  • Issue
    1
  • fYear
    1997
  • fDate
    1/1/1997 12:00:00 AM
  • Firstpage
    128
  • Lastpage
    135
  • Abstract
    We present a sequence of codes attaining the Tsfasman-Vladut-Zink bound. The construction is based on the tower of Artin-Schreier extensions described by Garcia and Stichtenoth (1995). We also determine the dual codes. The first steps of the constructions are explicitly given as generator matrices
  • Keywords
    algebraic geometric codes; dual codes; matrix algebra; sequential codes; Artin-Schreier extensions; Tsfasman-Vladut-Zink bound; code sequence; dual codes; explicit construction; generator matrices; Cost accounting; Equations; Poles and towers; Poles and zeros;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.567659
  • Filename
    567659