一类二阶代数免疫函数的结构  

Structure of Boolean functions with two order algebraic immunity

作　　者：杜蛟[1,2] 王守印[1] 

机构地区：[1]新乡学院数学系,河南新乡453003 [2]北京邮电大学网络与交换技术国家重点实验室,北京100876

出　　处：《计算机工程与应用》2010年第33期9-12,20,共5页Computer Engineering and Applications

基　　金：国家自然科学基金No.60873191;No.60903152;No.61003286;No.60821001;No.10571045;河南省创新型科技人才队伍建设工程项目资助~~

摘　　要：对一阶代数免疫函数的结构进行了刻画,在此基础上讨论了一类二阶代数免疫布尔函数的构造问题,给出了两个n元一阶代数免疫函数通过级联得到n+1元二阶代数免疫函数的充分条件,并且给出了它们的若干结构和几个判断二阶代数免疫函数的判别准则。The construction of one order algebraic immunity Boolean functions is given.Based on me researcn,me constructions of Boolean functions are studied with two order algebraic immunity, and some necessary and sufficient conditions are attained on how to concatenate two n variables Boolean functions with one order algebraic immunity to a Boolean function with two order algebraic immunity.Especially the constructions of them are given, and some criteria on how to judge a Boolean function with two order algebraic immunity are given.

关 键 词：布尔函数 零化子 代数免疫 密码学 

分 类 号：TN911.22[电子电信—通信与信息系统]