Negabent Functions in the Maiorana-McFarland Class

نویسندگان

  • Kai-Uwe Schmidt
  • Matthew G. Parker
  • Alexander Pott
چکیده

Boolean functions which are simultaneously bent and negabent are studied. Transformations that leave the bent-negabent property invariant are presented. A construction for infinitely many bentnegabent Boolean functions in 2mn variables (m > 1) and of algebraic degree at most n is described, this being a subclass of the Maiorana– McFarland class of bent functions. Finally it is shown that a bentnegabent function in 2n variables from the Maiorona–McFarland class has algebraic degree at most n− 1.

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تاریخ انتشار 2008