• DocumentCode
    1251952
  • Title

    The Automorphism Group of an Extremal [{72,36,16}] Code Does Not Contain Z_{7} ,

  • Author

    Feulner, Thomas ; Nebe, Gabriele

  • Author_Institution
    Dept. of Math., Univ. of Bayreuth, Bayreuth, Germany
  • Volume
    58
  • Issue
    11
  • fYear
    2012
  • Firstpage
    6916
  • Lastpage
    6924
  • Abstract
    A computer calculation with Magma shows that there is no extremal self-dual binary code C of length 72 that has an automorphism group containing either the dihedral group of order 10, the elementary abelian group of order 9, or the cyclic group of order 7. Combining this with the known results in the literature, one obtains that the order of Aut(C) is either 5 or divides 24.
  • Keywords
    binary codes; cyclic codes; dual codes; group theory; automorphism group; cyclic group; dihedral group; elementary abelian group; extremal self-dual binary code; Algebra; Binary codes; Bismuth; Orbits; Automorphism group; extremal self-dual code; type II code;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2208176
  • Filename
    6249760
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1251952