A kind of Boolean algebra and its application;

The Boolean Algebra Definited on the Partial Order Set;

Application of probabilistic method to m th order Walsh spectra of Boolean functions;

Research of designing Boolean function based on swap sequence PSO;

Walsh Spectral Analysis of the SMS4 S-Boxes Boolean Functions;

The n_ary Boole polynomial f(x_,…,x_n) can be denoted by the form off(x_1,…,x_n)=∑f(α_1,…,α_n)x~~~(α_1)_1…x~~~(α_n)_nLet F_n and_m is respectively the set of all n-ary Boole functions and all n_ary Boole polynomials on Boole algebra B,then F_n=_n iff |B|=2.

In this paper we construct a functor from the category o f Boole algebras to the category of double Stone algebras satisfying the complem ent property and show that this functor has a left adjoint.

Summarization of Boolean functions in cryptography;

The enumeration of symmetric balanced boolean functions with odd variables;

Study of nonlinearity bounds of Boolean functions;