• DocumentCode
    995600
  • Title

    The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code

  • Author

    Moisio, Marko J.

  • Author_Institution
    Dept. of Math. & Stat., Vaasa Univ.
  • Volume
    53
  • Issue
    2
  • fYear
    2007
  • Firstpage
    843
  • Lastpage
    847
  • Abstract
    In this correspondence, we give the moments of a Kloosterman sum over Fq in terms of the frequencies of weights in the binary Zetterberg code of length q+1, which are known by the work of Schoof and van der Vlugt. The method is illustrated by giving explicit formulae for the moments up to the tenth moment. As a corollary the weight distribution of a Zetterberg-type binary cyclic code is obtained
  • Keywords
    binary codes; cyclic codes; Kloosterman sum moments; Zetterberg-binary cyclic code; weight distribution; Codes; Frequency; Galois fields; Joining processes; Mathematics; Statistics; Cyclic code; Kloosterman sum; Pless power moments; Zetterberg code; exponential sum; weight distribution;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.889020
  • Filename
    4069149
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=995600