On cross-correlation spectrum of generalized bent functions in generalized Maiorana-McFarland class

Abstract

In this paper, we obtain the cross-correlation spectrum of generalized b ent Boolean functions in a subclass of Maiorana- McFarland class (GMMF). An affine transformation which preserve the cross-correlation spectrum of two generalized Boolean functions, in absolute value is also presented. A construction of generaliz ed bent Boolean functions in (n+ 2) variables from four generalized Boolean functions in n variables is presented. It is demonstrated that the direct sum of two gene ralized bent Boolean functions is also generalized bent. Finally, we identify a class of affine fun ctions, in the generalized set up, each of its function is generalized bent.