Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)
Haar Spectrum of Bent Boolean Functions
H. M. Rafiq and M. U. Siddiqi
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
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.
Keywords: Cryptographic Boolean functions, Bent functions, Haar� transform, Walsh transform, Rademacher functions, Walsh orderings, Spectral Coefficients
