Haar Spectrum of Bent Boolean Functions

Bent boolean functions play a very significant role in the design of strong symmetric cryptosystems. in this paper,we present an analysis of bent functions in the haar domain. we first present a brief overview of bent boolean functions and then derive expressions for the haar spectrum of bent functions. the haar spectral coefficients of bent functions are given in two ways namely; in terms of sub-intervals over the entire spectrum,as well as,individual spectral coefficients. finally,we conclude the paper with a summary of findings and suggestions for further work for utilizing the results for design of secure cryptosystems.