• DocumentCode
    1316096
  • Title

    New optimal quaternary linear codes of dimension 5

  • Author

    Gulliver, T. Aaron

  • Author_Institution
    Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada
  • Volume
    42
  • Issue
    6
  • fYear
    1996
  • fDate
    11/1/1996 12:00:00 AM
  • Firstpage
    2260
  • Lastpage
    2265
  • Abstract
    In this correspondence, new optimal quaternary linear codes of dimension 5 are presented which extend previously known results. These codes belong to the class of quasi-twisted (QT) codes, and have been obtained using a greedy local search algorithm. Other codes are also given which provide a lower bound on the maximum possible minimum distance. The generator polynomials for these codes are tabulated, and the minimum distances of known QT codes are given
  • Keywords
    Galois fields; cyclic codes; linear codes; polynomials; generator polynomials; greedy local search algorithm; lower bound; minimum distance; optimal quaternary linear codes; quasi-cyclic codes; quasi-twisted codes; Councils; Error probability; Feedback communications; Hamming distance; Helium; Information theory; Linear code; Systems engineering and theory; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.556620
  • Filename
    556620