• DocumentCode
    1178214
  • Title

    A family of highly symmetric codes

  • Author

    Bierbrauer, Jürgen ; Marcugini, Stefano ; Pambianco, Fernanda

  • Author_Institution
    Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI, USA
  • Volume
    51
  • Issue
    10
  • fYear
    2005
  • Firstpage
    3665
  • Lastpage
    3668
  • Abstract
    We define a class of codes admitting a large automorphism group. This family contains the binary extended Hamming code, the hexacode, the Golay codes, the Pless symmetry codes, as well as the [16,4,12]8-codes constructed by Marcugini et al. A computer search resulted in the construction of codes with new parameters [28,7,18]8,[32,8,20]8, and [39,13,17]4 belonging to this family.
  • Keywords
    Galois fields; Golay codes; Hamming codes; binary codes; group codes; linear codes; Galois field; Golay code; Pless symmetry code; automorphism group; binary extended Hamming code; hexacode; highly symmetric code; linear code; Galois fields; Geometry; Informatics; Linear code; Mathematics; Orbits; Symmetric matrices; Galois fields; Linear codes; symmetry groups;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.855607
  • Filename
    1512438
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1178214