中文摘要：

讨论了从[GF（q）]n到[GF（q）]m的相关免疫函数和弹性函数F的特征.首先提供了复合函数G·F的特征,其中G是从[GF（q）]m到[GF（q）]s的函数,同时得到了一些关于F的分量函数的非零线性组合的性质.给出了相关免疫函数和弹性函数的矩阵特征.利用傅里叶变换刻画了弹性函数的特征.

英文摘要：

The focus of this paper is on the characterizations of correlation immune and resilient functions F from [GF（q） ]^n into [GF（q）]^m. First, some characterizations of the compositon functions G · F are provided, where G is a function from [GF（q）]^m into [GF（q）]^s. Meanwhile, some properties about all nonzero linear combinations of the component functions of F are obtained. Second, other characterizations in terms of certain associated matrices are given. Finally, the resilient function F is characterized by means of the Fourier trasform.