Several Classes of Boolean Functions with Four-Valued Walsh Spectra

Abstract

In this paper, we give constructions of several classes of Boolean functions with four-valued Walsh spectra, which are derived from the indirect sum construction. The Walsh spectra and spectrum distributions of these functions are determined. The result of functions with four-valued Walsh spectra derived from Bent functions is used to research Bent functions and o-polynomials. By investigating the indirect sum, we also give constructions of plateaued functions and functions with five-valued Walsh spectra.