Generalized Semi-bent and Partially Bent Boolean Functions

نویسنده

  • Brajesh Kumar Singh
چکیده

In this article, a relationship between the Walsh-Hadamard spectrum and σ f , the sum-of-squares-modulus indicator (SSMI) of the generalized Boolean function is presented. It is demonstrated for every s-plateaued generalized Boolean function in n variables that σ f = 22n+s. Two constructions on generalized semi-bent Boolean functions are presented. A class of generalized semi-bent functions in (n + 1) variables is constructed from generalized bent Boolean functions in n variables, and identify a subclass of it for which σ f = 22n+1 and △ f = 2 n+1 2 . Further, some constructions on generalized partially bent Boolean functions are presented at end of the article.

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تاریخ انتشار 2013