Construction of Odd-variable Boolean Function with Optimum Algebraic Immunity
奇数变元代数免疫最优布尔函数的构造方法

Algebraic immunity is a new cryptographic criterion proposed to against algebraic attacks. In order to resist algebraic attacks,Boolean functions used in many stream ciphers should have optimum algebraic immunity. This paper presented a construction of Boolean function in odd variables with optimum algebraic immunity. It's a recursive construction. Given any odd number, we can construct Boolean function with optimum algebraic immunity in the same number of variables.