• DocumentCode
    1174671
  • Title

    Permutation codes for the Gaussian channel

  • Author

    Karlof, John K.

  • Author_Institution
    Dept. of Math. Sci., North Carolina Univ., Wilmington, NC, USA
  • Volume
    35
  • Issue
    4
  • fYear
    1989
  • fDate
    7/1/1989 12:00:00 AM
  • Firstpage
    726
  • Lastpage
    732
  • Abstract
    The initial vector problem is considered for group codes for the Gaussian channel and, in particular, for codes generated by permutation groups. Variant I and variant II permutation codes are defined, and optimal initial vectors for these codes are constructed. A numerical algorithm for constructing optimal group codes is presented together with examples of this algorithm applied to several permutation groups
  • Keywords
    codes; telecommunication channels; Gaussian channel; group codes; initial vector problem; numerical algorithm; optimal group codes; permutation codes; Block codes; Error probability; Gaussian channels; Gaussian noise; Helium; Mathematics; Maximum likelihood decoding; Signal generators; Symmetric matrices; Transmitters;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.32151
  • Filename
    32151