首先利用递归的方法证明了结构形式更为一般的布尔函数的Walsh谱分解式，然后利用这类布尔函数Walsh谱分解式，给出了密码学和编码学中具有重要应用价值的一些布尔函数，如弹性函数、Bent函数以及满足严格雪崩准则的布尔函数的构造方法。

This paper investigates a decomposition formula of Walsh spectrum for a class of Boolean functions. On the basis of this formula, the constructions of some cryptographic functions, such as resilient functions, Bent functions and H-Boolean function are studied H-Boolean function is a class of Boolean functions of much importance to the applications of coding theory and satisfying the strict Avalanche criterion.