Nega-Hadamard transform, bent and negabent functions

Abstract

In this paper, we start developing a detailed theory of nega-Hadamard transforms. Consequently, we derive several results on negabentness of concatenations and partially symmetric functions. We also obtain a characterization of bent-negabent functions in a subclass of Maiorana-McFarland set. As a byproduct of our results we obtain simple proofs of several existing facts.