通过计算选择逻辑函数的Walsh循环谱和自相关函数，系统分析了选择逻辑函数的密码学性质。所得结论表明选择逻辑函数在变元个数较大的情况下具有理想的稳定性，能够抵抗最佳仿射（BAA）攻击，但是其“扩散”特性不够理想，在一定意义下不能有效地抗击差分攻击。讨论了与选择逻辑函数线性等价意义下满足严格雪崩准则或具有相关免疫性的逻辑函数构造问题。

In this paper, the main results are concerned with the Walsh transform and the autocorrelation function of select logic functions. Select logic functions with large number of variables have perfect stability and can resist towards cryptanalysis of best affine approximation, but they can't resist towards differential cryptanalysis efficiently because of weak propagation property. By a linear transformation of coordinates, an explicit construction for functions satisfying the strict avalanche criterion or Being correlation immune is provided.