• DocumentCode
    2622158
  • Title

    An upper bound for some exponential sums over Galois rings and applications

  • Author

    Kumar, P. Vijay ; Helleseth, Tor ; Calderbank, A.R.

  • Author_Institution
    Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
  • fYear
    1994
  • fDate
    27 Jun-1 Jul 1994
  • Firstpage
    70
  • Abstract
    An upper bound for Weil-type exponential sums over Galois rings is presented together with some examples where the bound is tight. The bound may be regarded as the Galois-ring analogue of the well-known Weil-Carlitz-Uchiyama bound for exponential sums over finite fields. An application of the bound to the design of large families of eight-phase sequences having low correlation is also given
  • Keywords
    Galois fields; correlation methods; sequences; CDMA; Galois rings; Weil-type exponential sums; correlation; eight-phase sequences; finite fields; upper bound; Communication systems; Councils; Informatics; Multiaccess communication; Polynomials; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
  • Conference_Location
    Trondheim
  • Print_ISBN
    0-7803-2015-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1994.394900
  • Filename
    394900