• DocumentCode
    1478714
  • Title

    New families of almost perfect nonlinear power mappings

  • Author

    Helleseth, Tor ; Rong, Chunming ; Sandberg, Daniel

  • Author_Institution
    Dept. of Inf., Bergen Univ., Norway
  • Volume
    45
  • Issue
    2
  • fYear
    1999
  • fDate
    3/1/1999 12:00:00 AM
  • Firstpage
    475
  • Lastpage
    485
  • Abstract
    A power mapping f(x)=xd over GF(pn) is said to be differentially k-uniform if k is the maximum number of solutions x∈GF(pn) of f(x+a)-f(x)=b where a, b∈GF(pn ) and a≠0. A 2-uniform mapping is called almost perfect nonlinear (APN). We construct several new infinite families of nonbinary APN power mappings
  • Keywords
    Galois fields; cryptography; 2-uniform mapping; Galois fields; almost perfect nonlinear power mappings; cryptography; differentially k-uniform mapping; infinite families; maximum solutions; nonbinary APN power mappings; Cryptography; Equations; Informatics; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.748997
  • Filename
    748997
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1478714