We establish a new connection between invariant theory and the theory of bent functions. This enables us to construct Boolean functions with a prescribed symmetry group action. Besides the quadratic ...

Abstract: In this paper, we consider homogeneity (of discrete-time systems) with respect to generalized dilations, which define a broader class of operators than dilations. The notion of generalized ...

// with degree r, where r and n are given in the constructor. // For convenience, the first is the zero Boolean function. // Initialize. Set the first Boolean function to zero. // You don't need to ...