Generalization of cross-correlation in Boolean functions and some generalized constructions in gbent functions

Abstract

The cross-correlation of two generalized Boolean functions defined on [Formula: see text] with values in [Formula: see text] is discussed in literature for [Formula: see text]. We generalize this result for [Formula: see text] [Formula: see text] and show that the existing result is a special case of our work. Further, we give some constructions of gbent functions.