• DocumentCode
    1424877
  • Title

    Estimates for the range of binomiality in codes´ spectra

  • Author

    Krasikov, Ilia ; Litsyn, Simon

  • Author_Institution
    Sch. of Math. Sci., Tel Aviv Univ., Israel
  • Volume
    43
  • Issue
    3
  • fYear
    1997
  • fDate
    5/1/1997 12:00:00 AM
  • Firstpage
    987
  • Lastpage
    991
  • Abstract
    We derive new estimates for the range of binomiality in a code´s spectra, where the distance distribution of a code is upperbounded by the corresponding normalized binomial distribution. The estimates depend on the code´s dual distance
  • Keywords
    binomial distribution; dual codes; estimation theory; linear codes; polynomials; Krawtchouk polynomials; binomiality range estimates; code´s dual distance; codes´ spectra; distance distribution; normalized binomial distribution; random linear code; self-dual codes; Entropy; Error probability; Linear code; Linear programming; Maximum likelihood decoding; Maximum likelihood estimation; Polynomials; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.568707
  • Filename
    568707