• DocumentCode
    773186
  • Title

    Four nonexistence results for ternary linear codes

  • Author

    van Eupen, M.

  • Author_Institution
    Eindhoven Univ. of Technol., Netherlands
  • Volume
    41
  • Issue
    3
  • fYear
    1995
  • fDate
    5/1/1995 12:00:00 AM
  • Firstpage
    800
  • Lastpage
    805
  • Abstract
    It is proved that ternary codes with parameters [15,8,6], [15,9,5], [16,6,8], and [16,7,7] do not exist. This result solves the problem of finding optimal ternary linear codes of length at most 21. A table is given, showing the exact value of d3(n,k) for n⩽21 with the earliest references
  • Keywords
    linear codes; [15,8,6] code; [15,9,5] code; [16,6,8] code; [16,7,7] code; nonexistence results; optimal ternary linear codes; Chromium; Information theory; Linear code; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.382031
  • Filename
    382031
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=773186