• DocumentCode
    924522
  • Title

    On the automorphism group of a doubly-even (72,36,16) code

  • Author

    Bouyuklieva, Stefka

  • Author_Institution
    Dept. of Math. & Informatics, Univ. of Veliko Tarnovo, Bulgaria
  • Volume
    50
  • Issue
    3
  • fYear
    2004
  • fDate
    3/1/2004 12:00:00 AM
  • Firstpage
    544
  • Lastpage
    547
  • Abstract
    We prove that a putative doubly-even (72,36,16) code has no automorphism of order 3 with fixed points. Moreover, such a code has no automorphism of an odd order greater than 7. Eventually, we prove that 25 and 49 do not divide the order of its automorphism group.
  • Keywords
    Hamming codes; dual codes; automorphism group; doubly-even code; self-dual codes; Codes; Informatics; Mathematics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.825252
  • Filename
    1273666
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=924522