• DocumentCode
    1416610
  • Title

    Singly Even Self-Dual Codes With Minimal Shadow

  • Author

    Bouyuklieva, Stefka ; Willems, Wolfgang

  • Author_Institution
    Fak. fur Math., Otto-von-Guericke Univ., Magdeburg, Germany
  • Volume
    58
  • Issue
    6
  • fYear
    2012
  • fDate
    6/1/2012 12:00:00 AM
  • Firstpage
    3856
  • Lastpage
    3860
  • Abstract
    In this paper, extremal singly even self-dual codes with minimal shadow are investigated. Nonexistence of such codes for particular parameters is proved. By a result of Rains, the length of extremal singly even self-dual codes is bounded. Explicit bounds are given in case the shadow is minimal.
  • Keywords
    dual codes; explicit bounds; extremal singly even self-dual codes; minimal shadow; rains; Cryptography; Polynomials; Rain; Upper bound; Vectors; Bounds for codes; minimal shadow; self-dual codes; singly even codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2183114
  • Filename
    6125247