• DocumentCode
    1208247
  • Title

    Optimal quaternary linear rate-1/2 codes of length ≤18

  • Author

    Gulliver, T. Aaron ; Östergård, Patric R J ; Senkevitch, Nikolai I.

  • Volume
    49
  • Issue
    6
  • fYear
    2003
  • fDate
    6/1/2003 12:00:00 AM
  • Firstpage
    1540
  • Lastpage
    1543
  • Abstract
    We classify all optimal linear [n,n/2,d] codes over F4 up to length 18. In particular, we show that there is a unique optimal [12,6,6] code and three optimal [16,8,7] codes, up to equivalence.
  • Keywords
    linear codes; optimisation; codes length; codewords; finite field; optimal quaternary linear rate codes; Councils; Galois fields; Geometry; Linear code; Terminology;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2003.811929
  • Filename
    1201077