• DocumentCode
    75239
  • Title

    Several New Classes of Bent Functions From Dillon Exponents

  • Author

    Nian Li ; Helleseth, Tor ; Xiaohu Tang ; Kholosha, A.

  • Author_Institution
    Inf. Security & Nat. Comput. Grid Lab., Southwest Jiaotong Univ., Chengdu, China
  • Volume
    59
  • Issue
    3
  • fYear
    2013
  • fDate
    Mar-13
  • Firstpage
    1818
  • Lastpage
    1831
  • Abstract
    Several new classes of binary and p-ary regular bent functions are obtained in this paper. The bentness of all these functions is determined by some exponential sums over finite fields, most of which have close relations with the well-known Kloosterman sums.
  • Keywords
    Boolean functions; polynomials; Dillon exponents; Kloosterman sums; binary regular bent functions; exponential sums; finite fields; p-ary regular bent functions; Boolean functions; Educational institutions; Indexes; Informatics; Polynomials; Silicon; Transforms; $p$-ary bent function; Dickson polynomial; Kloosterman sum; binary bent function;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2229782
  • Filename
    6361298
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=75239