• DocumentCode
    53917
  • Title

    There is No Self-Dual  BBZ _{4} -Linear Code Whose Gray Image Has the Parameters (72,2^{36},16)

  • Author

    Kiermaier, Michael

  • Author_Institution
    Dept. of Math., Univ. of Bayreuth, Bayreuth, Germany
  • Volume
    59
  • Issue
    6
  • fYear
    2013
  • fDate
    Jun-13
  • Firstpage
    3384
  • Lastpage
    3386
  • Abstract
    It is shown that there is no self-dual BBZ4-linear code whose Gray image has the parameters (72,236,16).
  • Keywords
    Hamming codes; binary codes; dual codes; error correction codes; linear codes; BBZ4-linear code; Gray map; error-correcting code; gray image; minimum Hamming distance; self-dual linear code; Binary codes; Educational institutions; Hamming weight; Linear code; Vectors; $ BBZ _{4}$-linear code; Error-correcting code; Gray map; extremal code; self-dual code;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2013.2246816
  • Filename
    6461127