• DocumentCode
    1015898
  • Title

    On the Number of Inequivalent Binary Self-Orthogonal Codes

  • Author

    Hou, Xiang-Dong

  • Author_Institution
    Univ. of South Florida, Tampa
  • Volume
    53
  • Issue
    7
  • fYear
    2007
  • fDate
    7/1/2007 12:00:00 AM
  • Firstpage
    2459
  • Lastpage
    2479
  • Abstract
    Let Psik,n denote the number of inequivalent binary self-orthogonal [n, k] codes. We present a method which allows us to compute Psik,n explicitly for a moderate k and an arbitrary n. Included in this paper are explicit formulas for Psik,n with k les 5.
  • Keywords
    binary codes; orthogonal codes; binary self-orthogonal code,; general linear group; inequivalent binary; quadratic form; symmetric group; Codes; Instruction sets; Mathematics; Binary self-orthogonal code; equivalence; general linear group; quadratic form; symmetric group;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2007.899542
  • Filename
    4252332