• DocumentCode
    858978
  • Title

    New classes of almost bent and almost perfect nonlinear polynomials

  • Author

    Budaghyan, Lilya ; Carlet, Claude ; Pott, Alexander

  • Author_Institution
    Dept. of Math., Univ. of Trento
  • Volume
    52
  • Issue
    3
  • fYear
    2006
  • fDate
    3/1/2006 12:00:00 AM
  • Firstpage
    1141
  • Lastpage
    1152
  • Abstract
    New infinite classes of almost bent and almost perfect nonlinear polynomials are constructed. It is shown that they are affine inequivalent to any sum of a power function and an affine function
  • Keywords
    Boolean functions; affine transforms; cryptography; polynomials; CCZ-equivalence; Carlet-Charpin-Zinoviev equivalence; affine function; almost bent nonlinear polynomial; almost perfect nonlinear polynomial; power function; vectorial Boolean function; Algebra; Boolean functions; Cryptography; Geometry; Gold; Mathematics; Polynomials; Affine equivalence; Carlet–Charpin–Zinoviev (CCZ)-equivalence; 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.2005.864481
  • Filename
    1603777
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=858978