Several Classes of Even-Variable Balanced Boolean Functions with Optimal Algebraic Immunity
Chik-How TAN, Siong Thye Goh · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2011
In this paper, we constructed six infinite classes of balanced Boolean functions. These six classes of Boolean functions achieved optimal algebraic degree, optimal algebraic immunity and high nonlinearity. Furthermore, we gave the proof of the lower bound of the nonlinearities of these balanced Boolean functions and proved the better lower bound of nonlinearity for Carlet-Feng's Boolean function.