k维p^r值向量逻辑函数相关免疫的等价判别条件  

Criterion of Correlation Immunity for k-Dimension p^r-Valued Logic Functions

作　　者：金栋梁[1] 赵亚群[1] 

机构地区：[1]信息工程大学信息工程学院,河南郑州450002

出　　处：《信息工程大学学报》2007年第3期276-279,共4页Journal of Information Engineering University

基　　金：国家重点实验室开放基金资助项目(01-02)

摘　　要：文章在p-adic分解意义下,讨论了k维pr值向量逻辑函数的相关免疫性。给出了pr值随机向量的分解性质及独立性的等价描述,对向量逻辑函数的每个分量函数及变元进行p-ad-ic分解,得到分解意义下相关免疫的线性组合定理,并通过广义一阶Chrestenson循环谱得到了k维pr值向量逻辑函数相关免疫性的谱判别定理。Combining the p-adic decomposition of the variables in Zpr, this paper mainly discusses the correlation immunity of k-dimension pr-valued logic functions. The decomposable properties and equivalent description of pr-valued random vector are presented. Then the p-adic decomposition of both k-dimension pr-valued logic functions and the variables are given. And then a linear combining theorem and a spectrum criterion of correlation immunity of k-dimension pr-valued logic functions are shown by using generalized Chrestenson cycle spectrum directly.

关 键 词：p-adic分解 k维p^r值向量逻辑函数 p^r值随机向量 相关免疫 广义一阶Chrestenson循环谱 

分 类 号：TN918.1[电子电信—通信与信息系统] O157.4[电子电信—信息与通信工程]