• DocumentCode
    3069181
  • Title

    Good codes from generalised algebraic geometry codes

  • Author

    Jibril, Mubarak ; Tomlinson, Martin ; Ahmed, Mohammed Zaki ; Tjhai, Cen

  • Author_Institution
    Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK
  • fYear
    2010
  • fDate
    13-18 June 2010
  • Firstpage
    1130
  • Lastpage
    1132
  • Abstract
    Algebraic geometry codes or Goppa codes are defined with places of degree one. In constructing generalised algebraic geometry codes places of higher degree are used. In this paper we present 41 new codes over F16 which improve on the best known codes of the same length and rate. The construction method uses places of small degree with a technique originally published over 10 years ago for the construction of generalised algebraic geometry codes.
  • Keywords
    Goppa codes; algebraic codes; geometric codes; Goppa code; generalised algebraic geometry code; Computational geometry; Error correction codes; Galois fields; Linear code; Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
  • Conference_Location
    Austin, TX
  • Print_ISBN
    978-1-4244-7890-3
  • Electronic_ISBN
    978-1-4244-7891-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2010.5513687
  • Filename
    5513687
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3069181