• DocumentCode
    1173401
  • Title

    There exists no Hermitian self-dual quaternary [26,13,10]4 code

  • Author

    Östergård, Patric R J

  • Author_Institution
    Dept. of Electr. & Commun. Eng., Helsinki Univ. of Technol., Finland
  • Volume
    50
  • Issue
    12
  • fYear
    2004
  • Firstpage
    3316
  • Lastpage
    3317
  • Abstract
    Hermitian self-dual quaternary codes exist for all even lengths. The smallest length for which the maximum possible minimum distance of such codes is undetermined is 26; it is then either 8 or 10. By exhaustive computer search this case is settled; it is shown that minimum distance 10 is impossible for these parameters.
  • Keywords
    dual codes; linear codes; telecommunication computing; Hermitian self-dual quaternary code; computer search; linear codes; Galois fields; Linear code; Parity check codes; 65; Quaternary codes; self-dual codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.838349
  • Filename
    1362917
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1173401