一阶相关免疫函数的新构造方法与计数  

New Construction Method and Numeration of 1st-Order Correlation-Immune Functions

作　　者：吕继强[1] 韩锦荣[1] 韦宝典[1] 王新梅[1] 

机构地区：[1]西安电子科技大学综合业务网国家重点实验室,陕西西安710071

出　　处：《电子学报》2003年第8期1269-1271,共3页Acta Electronica Sinica

基　　金：国家 973项目基金 (No G1 9990 3580 3)

摘　　要：本文研究了一阶相关免疫函数构造、计数问题 ,提出了一种新的一阶相关免疫函数的构造方法 ,由此得到了大量的一阶相关免疫函数 ;并通过这种构造方法给出了一个目前最好的一阶相关免疫函数个数下界 ,此下界比现有的结果至少改进了 (2 2 n - 1 + 2n) /(2 n + 8- 2 10 ) .Construction and numeration of 1st order correlation immune functions were studied.A new method to construct the 1st order correlation immune functions was proposed,through which a number of 1st order correlation immune functions were got and the best lower bound of 1st order correlation immune functions so far was gained.The lower bound is at least (2 2 n-1 +2 n )/(2 n+8 -2 10 ) more than the present.

关 键 词：布尔函数 相关免疫函数 列平衡矩阵 

分 类 号：TN918.1[电子电信—通信与信息系统]