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Title:
A New Class of Bent–Negabent Boolean Functions
Authors: Sugata Gangopadhyay, Ankita Chaturvedi
Abstract:In this paper we develop a technique of constructing bent–negabent Boolean functions by using complete mapping polynomials. Using this technique we demonstrate that for each \ell \ge 2 there exits bent–negabent functions on n = 12\ell variables with algebraic degree \frac{n}{4}+1 = 3\ell + 1. It is also demonstrated that there exist bent–negabent functions on 8 variables with algebraic degrees 2, 3 and 4.
ePrint: https://eprint.iacr.org/2010/597
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