(n,m)函数信噪比的研究  

Research on Signal to Noise Ratio of Boolean Function

作　　者：刘震宇 卓泽朋[1] LIU Zhenyu;ZHUO Zepeng(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,Anhui,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《淮北师范大学学报（自然科学版）》2021年第4期1-4,共4页Journal of Huaibei Normal University：Natural Sciences

基　　金：国家自然科学基金项目(60573026,10101008);安徽高校自然科学研究重大项目(KJ2020ZD008)。

摘　　要：信噪比是刻画(n,m)函数抵抗差分功耗攻击的一个新指标.研究信噪比和其他密码学指标间的关系,给出满足不同条件下布尔函数和(n,m)函数的信噪比上下界,特别是与线性空间维数和两个互相关函数平方和指标等成正比或者反比的关系.最后给出几种特殊类型的布尔函数信噪比的上下界.Signal-to-noise ratio is a new index for characterizing(n,m)functions against differential power attacks.The relationship between SNR and other cryptographic indexes is studied,and the upper and lower bounds of SNR for Boolean functions and(n,m)functions under different conditions are given,especially the relationship that is directly or inversely proportional to the dimension of linear space and the sum of squares of two cross-correlation functions.Finally,the upper and lower bounds of the SNR of some special type Boolean functions are given.

关 键 词：信噪比 布尔函数 (n m)函数 平方和指标 

分 类 号：TN918.1[电子电信—通信与信息系统]