• DocumentCode
    1523523
  • Title

    Automorphism groups of one-point codes from the curves yq+y=xqr+1

  • Author

    Kondo, Shoichi ; Katagiri, Tomokazu ; Ogihara, Takao

  • Author_Institution
    Dept. of Math., Waseda Univ., Tokyo, Japan
  • Volume
    47
  • Issue
    6
  • fYear
    2001
  • fDate
    9/1/2001 12:00:00 AM
  • Firstpage
    2573
  • Lastpage
    2579
  • Abstract
    The automorphism groups are determined for the one-point codes C m on the curve over Fq2r defined by yq+y=xqr+1, where r is an odd number. This generalizes Xing´s theorem (see ibid., vol.41, p.1629-35, Nov. 1995) and extends a result of Wesemeyer (see ibid., vol.44, p.630-43, March 1998)to the case of the above curve
  • Keywords
    Galois fields; Goppa codes; geometric codes; group codes; Galois field; automorphism groups; geometric Goppa codes; one-point codes; Communication system control; Cost accounting; Decoding; Equations; Galois fields; Geometry; Information theory; Notice of Violation; Poles and towers; Tail;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.945272
  • Filename
    945272
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1523523