• DocumentCode
    1266131
  • Title

    On Extremal Self-Dual Codes of Length 96

  • Author

    de La Cruz, Jorge ; Willems, Wolfgang

  • Author_Institution
    Dept. de Mat., Univ. del Norte, Barranquilla, Colombia
  • Volume
    57
  • Issue
    10
  • fYear
    2011
  • Firstpage
    6820
  • Lastpage
    6823
  • Abstract
    Let C be a binary extremal self-dual code of length 96. We prove that an automorphism of C of order 3 has 6 or no fixed points and an automorphism of order 5 has 6 fixed points. Moreover, if all automorphisms of order 3 are fixed point free then Aut(C) is solvable and its order divides 253 or 255 or Aut(C) is the alternating group A5 which is the only possible group of order 60. Furthermore, |Aut(C)| = 20 or 40 cannot occur.
  • Keywords
    binary codes; dual codes; C automorphism; binary extremal self-dual code; extremal self-dual automorphism; fixed points; Algebra; Binary codes; Generators; Integrated circuits; Orbits; Rain;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2155031
  • Filename
    5942167
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1266131