A construction of resilient functions with high nonlinearity

We propose a construction of resilient functions with n binary input variables and m binary output variables. In certain cases, the nonlinearity of these functions is the highest nonlinearity known.

[1]  Kaoru Kurosawa,et al.  Highly Nonlinear t-resilient Functions , 1997, J. Univers. Comput. Sci..

[2]  Sangjin Lee,et al.  On the Correlation Immune Functions and Their Nonlinearity , 1996, ASIACRYPT.