• DocumentCode
    1049420
  • Title

    Improvements on Parameters of Algebraic-Geometry Codes From Hermitian Curves

  • Author

    Siman Yang

  • Author_Institution
    Dept. of Mat.h., East China Normal Univ., Shanghai
  • Volume
    55
  • Issue
    1
  • fYear
    2009
  • Firstpage
    105
  • Lastpage
    108
  • Abstract
    Using the Vladut-Xing method, we refine a construction of Xu to improve the parameters of algebraic-geometry codes based on Hermitian curves. The parameters of these Hermitian codes are arbitrarily close to the Singleton bound, provided that the length of the code is sufficiently large. We also exhibit a class of Hermitian codes over any finite field BBFq 2 (q > 2) with good parameters.
  • Keywords
    algebraic codes; geometric codes; Hermitian codes; Hermitian curves; Singleton bound; Vladut-Xing method; algebraic-geometry codes; Code standards; Concrete; Estimation theory; Galois fields; H infinity control; Information rates; Linear code; Mathematics; Modular construction; Algebraic curves; Hermitian codes; Hermitian curves; algebraic-geometry codes; asymptotic bounds;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.2008123
  • Filename
    4729783
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1049420