Further Characterization of H Vectorial Functions

Vectorial Boolean bent functions, which possess the maximal nonlinearity and the minimum differential uniformity, contribute to optimum resistance against linear cryptanalysis and differential cryptanalysis. H vectorial functions is an infinite class of vectorial Boolean bent functions presented by S. Mesnager. This paper is devoted to further characterization of the H vectorial functions. It is shown that the EA-equivalent relationships among vectorial Boolean functions may be characterized by their component functions. As a result, the EA-equivalent relationships among H vectorial functions induced by many projectively equivalent o-polynomials of a given o-polynomial are obtained.