Balanced Boolean Functions with Optimum Algebraic Immunity and High Nonlinearity.
Xiangyong Zeng, Claude Carlet, Jinyong Shan, Lei Hu · IACR Cryptology ePrint Archive · 2010
In this paper, three constructions of balanced Boolean functions with optimum algebraic immunity are proposed. The cryptographical properties such as algebraic degree and nonlinearity of the constructed functions are also analyzed.