Haar spectra of Generalized Boolean bent functions

Abstract. This paper presents a discussion of Haar spectra for Generalized Boolean bent functions. The definition and multiresolution feature of Haar coefficients and their organization into packets provides a deeper insight into bent functions and their properties. It is shown that manipulation of packets of Haar coefficients for binary bent functions leads to the Generalized Boolean bent functions. The presentation is restricted to functions in \(n=4\) variables, since in this case a direct examination of examples is easily realisable. Possibilities for a straightforward extension to functions of a larger number of variables are illustrated by examples for \(n=6\).