• DocumentCode
    1140099
  • Title

    Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

  • Author

    Budaghyan, Lilya ; Carlet, Claude

  • Author_Institution
    Univ. of Bergen, Bergen
  • Volume
    54
  • Issue
    5
  • fYear
    2008
  • fDate
    5/1/2008 12:00:00 AM
  • Firstpage
    2354
  • Lastpage
    2357
  • Abstract
    A method for constructing differentially 4-uniform quadratic hexanomials has been recently introduced by J. Dillon. We give various generalizations of this method and we deduce the constructions of new infinite classes of almost perfect nonlinear quadratic trinomials and hexanomials from F22m to F22m. We check for m = 3 that some of these functions are CCZ-inequivalent to power functions.
  • Keywords
    cryptography; functions; polynomials; almost perfect nonlinear trinomials; cryptanalysis; differentially 4-uniform quadratic hexanomials; infinite classes; polynomials; power functions; quadratic APN trinomials; Boolean functions; Differential equations; Gold; Informatics; Mathematics; Nonlinear equations; Polynomials; Affine equivalence; CCZ-equivalence; S-box; almost bent; almost perfect nonlinear; differential uniformity; nonlinearity; vectorial Boolean function;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.920246
  • Filename
    4494676
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1140099