A Study of the Haar Spectra of Ternary Bent Functions

Abstract

In the spectral domain, ternary bent functions are defined as ternary functions having flat Vilenkin-Chrestenson spectra. This transform is a global transform in the sense that all function values are involved in computing every spectral coefficient. The paper presents an analysis of characteristics of the spectra of ternary bent functions with respect to the ternary Haar transform, which is a multiresolution and local transform in the above sense. Due to this, it provides a further insight in the structure of ternary bent functions, their characteristics, and mutual relationships.