• DocumentCode
    1355911
  • Title

    There is no ternary [28, 6, 16] code

  • Author

    Hamada, Noboru ; Helleseth, Tor ; Martinsen, Halvard ; Ytrehus, Oyind

  • Author_Institution
    Dept. of Appl. Math., Osaka Women´´s Univ., Japan
  • Volume
    46
  • Issue
    4
  • fYear
    2000
  • fDate
    7/1/2000 12:00:00 AM
  • Firstpage
    1550
  • Lastpage
    1554
  • Abstract
    The existence of a ternary [28, 6, 16] code is considered. We show that without loss of generality, a generator matrix of such a code must satisfy certain conditions. A computer search over all matrices that satisfy these conditions reveals that a ternary [28, 6, 16] code does not exist
  • Keywords
    block codes; linear codes; matrix algebra; search problems; ternary codes; code length; computer search; generator matrix; minimum Hamming distance; ternary linear block code; Block codes; Councils; Hamming distance; Informatics; Mathematics; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.850693
  • Filename
    850693
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1355911