• DocumentCode
    1780164
  • Title

    New classes of quadratic bent functions in polynomial forms

  • Author

    Baofeng Wu

  • Author_Institution
    State Key Lab. of Inf. Security, Inst. of Inf. Eng., Beijing, China
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    1832
  • Lastpage
    1836
  • Abstract
    We propose new classes of quadratic bent functions in polynomial forms, coefficients of which are from extension fields of F2. Bentness of these functions is based on certain linearized permutation polynomials over finite fields of even characteristic, whose permutation properties are confirmed by virtue of arithmetics in skew-polynomial rings. This is the first time skew-polynomials over finite fields are used in studying quadratic bent functions.
  • Keywords
    Boolean functions; arithmetic; polynomials; arithmetics; even characteristic; extension fields; finite fields; linearized permutation polynomials; permutation properties; polynomial forms; quadratic bent functions; skew-polynomial rings; Boolean functions; Cryptography; Educational institutions; Information theory; Polynomials; Presses; Transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6875150
  • Filename
    6875150
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1780164