布尔随机向量联合分布的分解式及其应用  

A Decomposition Formula of Joint Distribution of Boolean Random Vectors and Its Applications

作　　者：李世取[1] 曾本胜[1] 廉玉忠[1] 

机构地区：[1]郑州信息工程学院

出　　处：《通信学报》1998年第11期61-64,共4页Journal on Communications

摘　　要：本文首先给出了一般概率空间上ｎ维布尔随机向量的联合分布的“分解式”，然后将之应用于与布尔函数相应的布尔随机变量的有关联合分布的分解，揭示了关于布尔函数、布尔向量函数相关免疫性的若干等价条件的概率内在联系。This paper first presents a decomposition formula of joint distribution of n-dimensional Boolean random vectors on a general probability space and next applies it to the decomposition of relevant joint distribution of Boolean random variables corresponding to Boolean functions. We give the internal connection of probabilities of a number of equivalent conditions about correlation-immunity of Boolean functions and Boolean vector functions. The results in the paper may be a basis for studying correlation properties of Boolean vector functions.

关 键 词：布尔随机向量 联合分布 相关免疫性 密码学 

分 类 号：TN918.1[电子电信—通信与信息系统]