Constructions of Highly Nonlinear Resilient Vectorial Boolean Functions via Perfect Nonlinear Functions

Resilient vectorial Boolean functions are desirable for both stream cipher and block cipher, which are widely used in information security protection. The tradeoffs between resiliency and nonlinearity have received considerable attention. In this paper, a new method for constructing highly nonlinear resilient vectorial Boolean functions is presented. It is shown that this method can provide resilient vectorial functions with the currently best known nonlinearity, which is confirmed using examples.