In recent years a new (algebraic) attack has been investigated and a new cryptographic property- algebraic immunity-has proposed to resist the algebraic attack.

The algebraic immunity and annihilators of generalized boolean functions;

Class of constructions of even variables Boolean function with optimum algebraic immunity

A sufficient and necessary condition is given that the algebraic immunity of a Boolean function is not more than a fixed value.

Algebraic attack on symmetric Boolean functions with a high algebraic immunity

This paper studies the algebraic degree,characteristic matrix,and algebraic immunity of Boolean functions.

Boolean functions used in cryptography should have good algebraic immunity in order to resist algebraic attack.

Two classes of boolean functions with optimum algebraic immunity in odd number of variables

Symmetric boolean functions have been proved to be have high algebraic immunity.

Based on the algebraic standard form of Boolean functions,the conditions satisfied by Boolean function f or f+1 with high degree nonzero annihilators are summarized,the sufficient conditions satisfied by the Boolean functions with optimal algebraic immunity are therefore obtained.