• DocumentCode
    314003
  • Title

    An improved Serre bound for elementary abelian extensions of Fq(x) and the generalized Hamming weights of duals of BCH codes

  • Author

    Moreno, O. ; Pedersen, J.P. ; Polemi, D.

  • Author_Institution
    Dept. of Math. & Comput. Sci., Puerto Rico Univ., Rio Piedras, Puerto Rico
  • fYear
    1997
  • fDate
    29 Jun-4 Jul 1997
  • Firstpage
    82
  • Abstract
    An improvement on the Serre bound for the number of rational places is obtained here. Using our result we improve the bounds on the generalized Hamming weights of the duals of the BCH codes estimated by Stichtenoth and Voss (see IEEE Trans. Inform. Theory, vol.40, no.2, p.554-8, 1994). Our new bound is tight in the binary case of the generalized Hamming weight of BCH(2)⊥
  • Keywords
    BCH codes; algebra; dual codes; functional analysis; BCH codes; Serre bound; algebraic function fields; binary case; dual codes; elementary abelian extensions; generalized Hamming weights; rational places; Hamming weight; Linear code; Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
  • Conference_Location
    Ulm
  • Print_ISBN
    0-7803-3956-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1997.612997
  • Filename
    612997
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=314003