• DocumentCode
    1476123
  • Title

    Cyclic Codes and Sequences: The Generalized Kasami Case

  • Author

    Luo, Jinquan ; Tang, Yuansheng ; Wang, Hongyu

  • Author_Institution
    Sch. of Math. Sci., Yangzhou Univ., Yangzhou, China
  • Volume
    56
  • Issue
    5
  • fYear
    2010
  • fDate
    5/1/2010 12:00:00 AM
  • Firstpage
    2130
  • Lastpage
    2142
  • Abstract
    In this paper, the large family of generalized Kasami sequences has been studied. In particular, the cross-correlation distribution among these sequences has been explicitly calculated. Meanwhile, the weight distributions of two classes of cyclic codes could also be determined. This paper generalizes the results from several previous papers.
  • Keywords
    correlation methods; cyclic codes; sequences; cross correlation distribution; cyclic codes; exponential sum; generalized Kasami sequence; weight distribution; Application specific integrated circuits; Autocorrelation; Binary sequences; Computer aided software engineering; Galois fields; Hamming weight; Information theory; Materials science and technology; Parity check codes; Physics; Correlation distribution; cyclic code; exponential sum; sequence; weight distribution;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2010.2043783
  • Filename
    5452197