Some Results Concerning Generalized Bent Functions

In this paper we investigate the properties of generalized bent functions defined on Z2 with values in Zq where q ≥ 2 is any positive integer. We characterize the class of generalized bent functions symmetric with respect to two variables, provide an analogue of Maiorana– McFarland type bent functions in the generalized set up. A class of bent functions called generalized spreads type is introduced and it is demonstrated that recently introduced Dillon type generalized bent functions and Maiorana–McFarland type generalized bent functions can be described as generalized spreads type functions. Thus unification of two different types of generalized bent functions is achieved.