• DocumentCode
    1304632
  • Title

    A Putative Doubly Even [72,36,16] Code Does Not Have an Automorphism of Order 9

  • Author

    Yankov, Nikolay

  • Author_Institution
    Fac. of Math. & Inf., Shumen Univ., Shumen, Bulgaria
  • Volume
    58
  • Issue
    1
  • fYear
    2012
  • Firstpage
    159
  • Lastpage
    163
  • Abstract
    In this paper, we prove that there does not exist a binary self-dual doubly even code with an automorphism of order 9. To do so, we apply a method for constructing binary self-dual codes possessing an automorphism of order for an odd prime .
  • Keywords
    binary codes; dual codes; automorphism; binary self-dual codes; binary self-dual doubly even code; putative doubly even [72,36,16] code; Binary codes; Cryptography; Generators; Polynomials; Publishing; Automorphisms; self-dual codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2165829
  • Filename
    5995168
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1304632