摘要
讨论了剩余类环上多输出多值逻辑函数的谱特征,给出了多输出m值逻辑函数的广义一阶Chrestenson谱与单输出m值逻辑函数Chrestenson谱之间的关系,得到了多输出m值逻辑函数的广义一阶Chrestenson谱与其函数之间的转换公式,接着给出了多输出m值逻辑函数的广义一阶Chrestenson谱的概率表示式.同时讨论了多输出m值逻辑函数的广义一阶Chrestenson线性谱和循环谱之间的关系,并给出了这两种谱之间的关系式.
Certain spectral characteristics of multi-output m-valued logical functions over Zn ring are discussed. The relation between the generalized first order Chrestenson spectrum of multi-output m-valued logical functions and the Chrestenson spectrum of single-output m-valued logical functions is given. The transformation between multi-output m-valued logical functions ' generalized first order Chrestenson spectrum and the functions themselves is present. Then, the probability expression of multi-output m-valued logical functions' generalized first order Chrestenson spectrum is given. At last, the relation between multi-output m-valued logical functions' generalized first order linear spectrum and generalized first order cyclic spectrum is discussed and the transformation of these two spectra is obtained.
出处
《郑州大学学报(理学版)》
CAS
2006年第3期4-9,共6页
Journal of Zhengzhou University:Natural Science Edition
基金
中国科学院研究生院信息安全国家重点实验开放课题基金项目(2005-01-02)