多元平衡H布尔函数的相关免疫性研究  

Correlation-immunity study of multivariate-balanced H-Boolean functions

作　　者：李卫卫[1] 

机构地区：[1]上海政法学院计算机教学部,上海201701

出　　处：《兰州理工大学学报》2016年第3期113-115,共3页Journal of Lanzhou University of Technology

基　　金：上海市优秀青年教师科研专项基金(shzf018)

摘　　要：对平衡H布尔函数的密码学性质进行深入研究,得出一些多元平衡H布尔函数的相关免疫性定理,如三元平衡H布尔函数一定不是相关免疫的,而对于四元平衡H布尔函数可以通过构造实现一阶相关免疫性,其进一步揭示了平衡H布尔函数优良的密码学性质,为更好地研究布尔函数的密码学性质保证密码系统的安全性和抗攻击性奠定了基础.The cryptographic properties of the balanced H-Boolean functions are deeply studied and some theorems of multivariate-balanced H-Boolean functions are obtained,in which it will be shown that threevariate-balanced H-Boolean functions are absolutely not of correlation-immunity while for four-variate-balanced H-Boolean functions,their first-order correlation-immunity can be obtained by means of construction,which will further reveal the fine cryptographic properties of balanced H-Boolean functions and lay a foundation for studying well the cryptographic properties of the Boolean functions,guaranteeing the safety and anti-attack ability of the cryptosystem.

关 键 词：H布尔函数 相关免疫性 信息安全 密码学 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]