• DocumentCode
    1401853
  • Title

    Covering radii of ternary linear codes of small dimensions and codimensions

  • Author

    Baicheva, Tsonka S. ; Velikova, Evgenia D.

  • Author_Institution
    Inst. of Math. & Inf., Bulgarian Acad. of Sci., Tarnovo, Bulgaria
  • Volume
    43
  • Issue
    6
  • fYear
    1997
  • fDate
    11/1/1997 12:00:00 AM
  • Firstpage
    2057
  • Lastpage
    2061
  • Abstract
    The covering radii and the least covering radii of all two- and three-dimensional codes over GF(3) are given in the present work. The exact values of the least covering radii of some ternary linear codes of codimensions up to 8 are also determined, and a table of values of t3[n,k] for n⩽27 is presented
  • Keywords
    Galois fields; linear codes; GF(3); codimensions; covering radii; least covering radii; small dimensions; ternary linear codes; three-dimensional codes; two-dimensional codes; Binary codes; Hamming weight; Informatics; Linear code; Mathematics; Upper bound; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.641577
  • Filename
    641577
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1401853