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Information Sciences Letters

Information Sciences Letters

Abstract

In this paper, we obtain the cross-correlation spectrum of generalized bent 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 generalized 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 generalized bent Boolean functions is also generalized bent. Finally, we identify a class of affine functions, in the generalized set up, each of its function is generalized bent.

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