• DocumentCode
    1248153
  • Title

    Almost Perfect Nonlinear Power Functions in Odd Characteristic

  • Author

    Zha, Zhengbang ; Wang, Xueli

  • Author_Institution
    Dept. of Math. Sci., Luoyang Normal Univ., Luoyang, China
  • Volume
    57
  • Issue
    7
  • fYear
    2011
  • fDate
    7/1/2011 12:00:00 AM
  • Firstpage
    4826
  • Lastpage
    4832
  • Abstract
    In this paper, two new families of functions in odd characteristic are constructed, and they are proved to be almost perfect nonlinear (APN) functions. Some of the “open cases” which were introduced by Helleseth are answered by these new APN functions.
  • Keywords
    nonlinear functions; APN functions; almost perfect nonlinear power functions; odd characteristic; Complexity theory; Cryptography; Indexes; Information security; Laboratories; Polynomials; Almost perfect nonlinear function; characteristic; differential uniform mapping; perfect nonlinear function; quadratic character;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2145130
  • Filename
    5895102
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1248153