Several Classes of Boolean Functions with Four-Valued Walsh Spectra

Zhiqiang Sun, Lei Hu · International Journal of Foundations of Computer Science · 2017

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.

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