• DocumentCode
    2518803
  • Title

    Hyperbent functions, Kloosterman sums and Dickson polynomials

  • Author

    Charpin, Pascale ; Gong, Guang

  • Author_Institution
    INRIA, Le Chesnay
  • fYear
    2008
  • fDate
    6-11 July 2008
  • Firstpage
    1758
  • Lastpage
    1762
  • Abstract
    This paper is devoted to the classification of hyperbent functions, i.e., bent functions which are bent up to a primitive root change. We first exhibit an infinite class of monomial functions which are not hyperbent. It implies notably that Kloosterman sums at point 1 on F2m cannot be zero, unless m = 4. Further, we show that hyperbent functions with multiple trace terms can be described by means of Dickson polynomials.
  • Keywords
    Boolean functions; polynomials; Boolean function; Dickson polynomials; Kloosterman sums; hyperbent functions; monomial functions; primitive root change; Boolean functions; Hamming weight; Helium; Polynomials; Boolean function; Dickson polynomial; Kloosterman sum; bent function; hyperbent function; permutation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2008. ISIT 2008. IEEE International Symposium on
  • Conference_Location
    Toronto, ON
  • Print_ISBN
    978-1-4244-2256-2
  • Electronic_ISBN
    978-1-4244-2257-9
  • Type

    conf

  • DOI
    10.1109/ISIT.2008.4595290
  • Filename
    4595290
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2518803