• DocumentCode
    1412838
  • Title

    On the parameters of algebraic-geometry codes related to Arf semigroups

  • Author

    Campillo, Antonio ; Farrán, José Ignacio ; Munuera, Carlos

  • Author_Institution
    Dept. de Algebra y Geometria, Valladolid Univ., Spain
  • Volume
    46
  • Issue
    7
  • fYear
    2000
  • fDate
    11/1/2000 12:00:00 AM
  • Firstpage
    2634
  • Lastpage
    2638
  • Abstract
    We compute the order (or Feng-Rao (1994)) bound on the minimum distance of one-point algebraic-geometry codes CΩ(P, ρtQ), when the Weierstrass semigroup at the point Q is an Arf 91949) semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to these C Ω (P, ρtQ)
  • Keywords
    Goppa codes; algebraic geometric codes; group theory; Arf semigroups; Feng-Rao bound; Weierstrass semigroup; code dimension; code parameters; improved geometric Goppa codes; minimum distance; one-point algebraic-geometry codes; order bound; Algebra; Cost accounting; Galois fields; Geometry; Linear code; Parity check codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.887872
  • Filename
    887872
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1412838