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

摘要

The cross-correlation of two generalized Boolean functions defined on Z_2~n with values in Z_q is discussed in literature for q= 2~2. We generalize this result for q = 2s; s ≥ 2 and show that the existing result is a special case of our work. Further, we give some constructions of gbent functions.