• DocumentCode
    859143
  • Title

    Some restrictions on weight enumerators of singly even self-dual codes

  • Author

    Harada, Masaaki ; Munemasa, Akihiro

  • Author_Institution
    Dept. of Math. Sci., Yamagata Univ.
  • Volume
    52
  • Issue
    3
  • fYear
    2006
  • fDate
    3/1/2006 12:00:00 AM
  • Firstpage
    1266
  • Lastpage
    1269
  • Abstract
    In this correspondence, we give some restrictions on weight enumerators of singly even self-dual [n,n/2,d] codes whose shadows have minimum weight d/2. As a consequence, we determine the weight enumerators for which there is an extremal singly even self-dual [40,20,8] code and an optimal singly even self-dual [50,25,10] code
  • Keywords
    dual codes; optimisation; optimal extremal code; singly even self-dual code; weight enumerator; Algorithm design and analysis; Channel coding; Communication system control; Concatenated codes; Error correction codes; Error probability; Maximum likelihood decoding; Performance analysis; Protection; Upper bound; Extremal code; minimum weight; self-dual code; shadow; weight enumerator;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.864416
  • Filename
    1603793