• DocumentCode
    1343151
  • Title

    On the automorphism group of various Goppa codes

  • Author

    Wesemeyer, Stephan

  • Author_Institution
    Dept. of Math., Exeter Univ., UK
  • Volume
    44
  • Issue
    2
  • fYear
    1998
  • fDate
    3/1/1998 12:00:00 AM
  • Firstpage
    630
  • Lastpage
    643
  • Abstract
    We determine the automorphism group of various Goppa codes 𝒞 L(D,G) associated with certain function fields F/F q of genus g>0. It is well known that, for deg D=n>2g+2, the automorphism group {AutD,G(F/Fq) can be embedded into Aut(𝒞L(D,G)) as a subgroup. We show that, under certain conditions on the divisors D and G AutD,G(F/Fq ) is actually isomorphic to Aut(𝒞L(D,G))
  • Keywords
    Goppa codes; group theory; Goppa codes; automorphism group; code automorphisms; function fields; hyperelliptic codes; isomorphic divisors; subgroup; Codes; Communication systems; Cost accounting; Galois fields; Information technology; Mathematics; Poles and zeros; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.661509
  • Filename
    661509
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1343151