• DocumentCode
    802931
  • Title

    A new APN function which is not equivalent to a power mapping

  • Author

    Edel, Yves ; Kyureghyan, Gohar ; Pott, Alexander

  • Author_Institution
    Mathematisches Inst., Univ. Heidelberg, Germany
  • Volume
    52
  • Issue
    2
  • fYear
    2006
  • Firstpage
    744
  • Lastpage
    747
  • Abstract
    A new almost-perfect nonlinear function (APN) on F(210) which is not equivalent to any of the previously known APN mappings is constructed. This is the first example of an APN mapping which is not equivalent to a power mapping.
  • Keywords
    Walsh functions; cryptography; nonlinear functions; transforms; APN function; almost-perfect nonlinear function; finite field; power mapping; Additives; Algebra; Boolean functions; Cryptography; Discrete Fourier transforms; Fourier transforms; Galois fields; Geometry; Linearity; Vectors; Almost-perfect nonlinear (APN) function; Boolean function; finite field;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.862128
  • Filename
    1580810
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=802931