• DocumentCode
    1412858
  • Title

    Constructions of ternary constant-composition codes with weight three

  • Author

    Svanström, Mattias

  • Author_Institution
    Dept. of Electr. Eng., Linkoping Univ., Sweden
  • Volume
    46
  • Issue
    7
  • fYear
    2000
  • fDate
    11/1/2000 12:00:00 AM
  • Firstpage
    2644
  • Lastpage
    2647
  • Abstract
    We consider the problem of determining the maximum size of a ternary code with constant composition and Hamming weight three. We give several constructions of codes having maximum size and we also present an improvement of the Johnson (1962) bound. The results presented solve the problem for all lengths when d=3, as well as for lengths 7, 11, and all even lengths when d=4
  • Keywords
    ternary codes; Hamming weight three code; Johnson bound; block code; code constructions; code lengths; constant composition; lower bounds; maximum code size; optimal codes; ternary constant-composition codes; upper bounds; Associate members; Binary codes; Block codes; Councils; Hamming distance; Hamming weight; Linear code; Modular construction; Modulation coding;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.887875
  • Filename
    887875