• DocumentCode
    1517955
  • Title

    A Class of Binomial Bent Functions Over the Finite Fields of Odd Characteristic

  • Author

    Jia, Wenjie ; Zeng, Xiangyong ; Helleseth, Tor ; Li, Chunlei

  • Author_Institution
    Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China
  • Volume
    58
  • Issue
    9
  • fYear
    2012
  • Firstpage
    6054
  • Lastpage
    6063
  • Abstract
    This paper studies a class of binomial functions over the finite fields of odd characteristic and characterizes their bentness in terms of the Kloosterman sums. Numerical results show that the proposed class contains bent functions that are affinely inequivalent to all known monomial and binomial ones.
  • Keywords
    Computers; Educational institutions; Electronic mail; Materials; Polynomials; Transforms; Upper bound; $p$-ary bent function; Exponential sum; Kloosterman sum; Walsh transform; regular bent function;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2199736
  • Filename
    6200866
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1517955