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.
Kumar Singh, Brajesh
"On cross-correlation spectrum of generalized bent functions in generalized Maiorana-McFarland class,"
Information Sciences Letters: Vol. 2
, Article 2.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol2/iss3/2