• DocumentCode
    1254263
  • Title

    Goppa codes and trace operator

  • Author

    Veron, P.

  • Author_Institution
    GECT, Toulon Univ., La Garde, France
  • Volume
    44
  • Issue
    1
  • fYear
    1998
  • fDate
    1/1/1998 12:00:00 AM
  • Firstpage
    290
  • Lastpage
    294
  • Abstract
    We study Goppa codes, Γ(L,g), defined by the polynomial g(z)=a(z)TrFpms:Fps(b(z)). It is shown that the dimension of these codes never reaches the general, well-known, bound for Goppa codes. New bounds are proposed depending on the value of m and p. Furthermore, we prove that when p=2 these codes have only even weights
  • Keywords
    Goppa codes; mathematical operators; polynomials; Goppa codes; bounds; code dimension; even weights; polynomial; trace operator; Information theory; Memoryless systems; Parity check codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.651048
  • Filename
    651048
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1254263