• DocumentCode
    3559049
  • Title

    A Geometric Construction of a [110,5,90]_{9} -Linear Code Admitting the Mathieu Group M_{11}

  • Author

    Cossidente, Antonio ; Sonnino, Angelo

  • Author_Institution
    Dept. of Math. & Comput. Sci., Basilicata Univ., Potenza
  • Volume
    54
  • Issue
    11
  • fYear
    2008
  • Firstpage
    5251
  • Lastpage
    5252
  • Abstract
    We give a geometric construction of a [110,5,90]9-linear code admitting the Mathieu group M 11 as a subgroup of its automorphism group.
  • Keywords
    geometric codes; linear codes; Mathieu group; automorphism group; geometric construction; linear code; Binary codes; Error correction codes; Galois fields; Hamming distance; Hamming weight; Linear code; Orbits; Vectors; Automorphism group; Golay code; Mathieu group; cap-code; finite projective space;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.929966
  • Filename
    4655443
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3559049