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本文给出了非退化一阶相关免疫函数的一个构造方法，得到了这类函数个数的一个新的下界，并且给出了阶数大于1的相关免疫函数非退化的一个充分条件及实例．
In this paper, a construction method of nondegenerate first order correlation immune function is given. A new lower bound on the number of such functions is obtained. A sufficient condition and an example of the nondegenerate correlation immune function with orders greater than one are given.