• DocumentCode
    1343267
  • Title

    Some new extremal self-dual codes with lengths 44, 50, 54, and 58

  • Author

    Boukliev, Ilya ; Buyuklieva, Stefka

  • Author_Institution
    Inst. of Math., Bulgarian Acad. of Sci., Sofia, Bulgaria
  • Volume
    44
  • Issue
    2
  • fYear
    1998
  • fDate
    3/1/1998 12:00:00 AM
  • Firstpage
    809
  • Lastpage
    812
  • Abstract
    We construct extremal self-dual codes with lengths 44, 50, 54, and 58. They have weight enumerators for which extremal codes were previously not known to exist. Two methods are used for constructing the codes using self dual codes of same or smaller length. To obtain the codes we use a combinatorial optimization search
  • Keywords
    combinatorial mathematics; dual codes; optimisation; search problems; code lengths; extremal self-dual codes; weight enumerators; Cryptography; Lattices;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.661526
  • Filename
    661526