Quaternary Generalized Boolean Bent Functions Obtained Through Permutation of Binary Boolean Bent Functions

Abstract

Various generalizations of binary Boolean bent functions have some applications in both binary and multiple-valued domain. The generalized Boolean functions having binary variables but taking four different values are of a special interest due to simple realizations. In this paper, we study how relationships between binary bent functions and generalized Boolean bent functions with quaternary values can be used to construct these functions.