• DocumentCode
    1145701
  • Title

    Normal extensions of bent functions

  • Author

    Carlet, Claude ; Dobbertin, Hans ; Leander, Gregor

  • Author_Institution
    Univ. of Paris 8, France
  • Volume
    50
  • Issue
    11
  • fYear
    2004
  • Firstpage
    2880
  • Lastpage
    2885
  • Abstract
    In this paper, the notion of normal extension is introduced for bent functions, i.e., maximally nonlinear Boolean functions. We apply this concept to characterize when the direct sum of bent functions is normal, and we prove that the direct sum of a normal bent function and a nonnormal bent function is always nonnormal.
  • Keywords
    Boolean functions; nonlinear codes; nonlinear functions; optimisation; maximally nonlinear Boolean functions; nonnormal bent function; nonnormal direct sum; normal extension; Boolean functions; Concrete; Cryptography; Hamming distance; Boolean function; maximally nonlinear;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.836681
  • Filename
    1347378
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1145701