Nega-Hadamard Transform, Bent and Negabent Functions

摘要

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