对称相关免疫函数的构造  

Constructions of Symmetric Correlation Immune Functions

作　　者：莫骄[1] 温巧燕[1] 

机构地区：[1]北京邮电大学理学院,北京100876

出　　处：《北京邮电大学学报》2008年第3期59-62,共4页Journal of Beijing University of Posts and Telecommunications

基　　金：国家"863计划"项目(2006AA01Z419);国家自然科学基金重大研究计划项目(90604023);北京市自然科学基金项目(4072020)

摘　　要：n元一阶对称相关免疫函数的构造等价于某个线性方程在二元域上的求解.通过求解该线性方程的等价方程,在5种情形下求出了该线性方程的部分解,由此在5种情形下构造出了部分n元一阶对称相关免疫函数.其中4种情形的构造是新提出的.The construction of symmetric correlation immune functions with n variables is equivalent to the solution in the binary field for a certain linear equation. When solving the equivalent equation of this linear equation, a part of solutions for this linear equation will be found out in five cases. Numbers of symmetric correlation immune functions with n variables are constructed in these cases. Four of the five constructions are found firstly.

关 键 词：对称函数 相关免疫函数 线性方程 

分 类 号：TN911.22[电子电信—通信与信息系统]