Firstly, certain properties of correlation functions of multioutput m-valued logical functions over Zm ring are discussed. Then, probability expressions of correlation functions of multioutput m-valued logical functions are given. Finally, the relation between generalized first order Chrestenson spectra of multioutput m-valued logical functions and autocorrelation functions is obtained.%首先讨论了剩余类环上多输出m值逻辑函数的相关函数的若干性质,然后给出了多输出m值逻辑函数的相关函数的概率表示式,最后得到了多输出m值逻辑函数的广义一阶Chrestenson谱与自相关函数之间的关系.
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