• DocumentCode
    1254304
  • Title

    Extremal self-dual codes with an automorphism of order 2

  • Author

    Buyuklieva, Stefka ; Boukliev, Iliya

  • Author_Institution
    Fac. of Math. & Inf., Univ. of Veliko Tarnovo, Veliko Tarnova, Bulgaria
  • Volume
    44
  • Issue
    1
  • fYear
    1998
  • fDate
    1/1/1998 12:00:00 AM
  • Firstpage
    323
  • Lastpage
    328
  • Abstract
    A method to design binary self-dual codes with an automorphism of order two without fixed points is presented. Extremal self-dual codes with lengths 40, 42, 44, 54, 58, 68 are constructed. Many of them have weight enumerators for which extremal codes were previously not known to exist
  • Keywords
    binary sequences; cyclic codes; dual codes; automorphism; binary self-dual codes; code length; extremal self-dual codes; generator matrix; singly-even self-dual codes; weight enumerators; Design methodology; Heuristic algorithms; Informatics; Linear code; Mathematics; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.651059
  • Filename
    651059