• DocumentCode
    1153309
  • Title

    A note on self-dual group codes

  • Author

    Willems, Wolfgang

  • Author_Institution
    Institut fur Algebra und Geometrie, Otto-von-Guericke-Universitat, Magdeburg, Germany
  • Volume
    48
  • Issue
    12
  • fYear
    2002
  • fDate
    12/1/2002 12:00:00 AM
  • Firstpage
    3107
  • Lastpage
    3109
  • Abstract
    We classify group algebras over Galois rings containing self-dual ideals; i.e., ideals C which satisfy C = C⊥ with respect to the natural nondegenerate bilinear form given on group algebras.
  • Keywords
    Galois fields; dual codes; group codes; group theory; linear codes; Galois rings; group algebra; linear code; nondegenerate bilinear form; self-dual group codes; Algebra; Galois fields; Information theory; Linear code; Modules (abstract algebra); Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.805076
  • Filename
    1077803
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1153309