• DocumentCode
    2491640
  • Title

    Z4-version of the binary Maiorana-McFarland bent functions

  • Author

    Wolfma, Jacques

  • Author_Institution
    GECT, Toulon Univ., La Garde, France
  • fYear
    1998
  • fDate
    16-21 Aug 1998
  • Firstpage
    401
  • Abstract
    We introduce a one-to-one connection between a family M4 of functions defined over the Galois ring R=GR(4,m) of cardinality 4m and the binary Maiorana-McFarland family of bent functions. This gives rise to difference sets in the additive group of R=GR(4,m). On the other hand, we show that, if D is one of these new quaternary difference sets and if Φ is the Gray map of R into F22m, then Φ(D) is a difference set of (F22m,+)
  • Keywords
    Boolean functions; Galois fields; group theory; information theory; Galois ring; Gray map; Z4-version; additive group; binary Maiorana-McFarland bent functions; difference sets; one-to-one connection; quaternary difference sets; Fourier transforms; Galois fields;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-7803-5000-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1998.709006
  • Filename
    709006
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2491640