• DocumentCode
    1167237
  • Title

    The Automorphism Group of a Binary Self-Dual Doubly Even [72,36,16] Code is Solvable

  • Author

    Bouyuklieva, Stefka ; O´Brien, E.A. ; Willems, Wolfgang

  • Author_Institution
    Otto-von-Guericke Univ. of Magdeburg
  • Volume
    52
  • Issue
    9
  • fYear
    2006
  • Firstpage
    4244
  • Lastpage
    4248
  • Abstract
    In this correspondence, we prove that the automorphism group of a putative binary self-dual doubly even [72,36,16] code is solvable. Moreover, its order is 5,7,10,14,56, or a divisor of 72
  • Keywords
    binary codes; dual codes; group codes; automorphism group; binary code; doubly even code; self-dual code; Algebra; Binary codes; Hamming weight; Informatics; Linear code; Mathematics; Rain; Vectors; Automorphisms; self-dual codes; self-orthogonal codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.880048
  • Filename
    1683942