• DocumentCode
    1197926
  • Title

    A determination of the parameters of a large class of Goppa codes

  • Author

    Johnsen, Trygve ; Manshadi, Saeed ; Monzavi, Noorbakhsh

  • Author_Institution
    Tromso Univ., Norway
  • Volume
    40
  • Issue
    5
  • fYear
    1994
  • fDate
    9/1/1994 12:00:00 AM
  • Firstpage
    1678
  • Lastpage
    1681
  • Abstract
    We determine the code parameters of a large class of Goppa codes, constructed from certain curves described by Stichtenoth (see Arch. Math., vol.XXIV, pp.615-631, 1973), in terms of the genus and the Weierstrass gap sequence of a given chosen point on each tune. Examples are codes from Hermitian, Artin-Schreier, and hyperelliptic curves
  • Keywords
    codes; error correction codes; parameter estimation; series (mathematics); Artin-Schreier curves; Goppa codes; Hermitian curves; Weierstrass gap sequence; code parameters; error correction codes; hyperelliptic curves; Code standards; Decoding; Equations; Galois fields; Hamming distance; Linear code; Polynomials; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.333893
  • Filename
    333893
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1197926