• DocumentCode
    1178757
  • Title

    The Weight Distribution of Some Irreducible Cyclic Codes

  • Author

    Ding, Cunsheng

  • Author_Institution
    Dept. of Comput. Sci. & Eng., Hong Kong Univ. of Sci. & Technol., Kowloon
  • Volume
    55
  • Issue
    3
  • fYear
    2009
  • fDate
    3/1/2009 12:00:00 AM
  • Firstpage
    955
  • Lastpage
    960
  • Abstract
    Irreducible cyclic codes have been an interesting subject of study for a long time. Their weight distribution is known in only a few cases. In this paper, the weight distribution of the irreducible cyclic codes in a number of other cases is determined. The number of nonzero weights in the codes dealt with in this paper varies between one and four.
  • Keywords
    Fourier transforms; cyclic codes; Fourier transform; irreducible cyclic codes; nonzero weights number; weight distribution; Computer science; Distributed computing; Fourier transforms; Gaussian processes; Linear code; Cyclotomy; Gaussian periods; irreducible cyclic codes; linear codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.2011511
  • Filename
    4787595