摘要
该文对有限域的逆与仿射变换复合得到的动态S盒进行了研究。首先给出了动态S盒变换差分概率的刻画方法,并给出了动态S盒变换的差分对应是不可能差分对应的充分必要条件及不可能差分的个数。接着给出了动态S盒变换最大差分概率的上界及可达性。最后利用模拟实验的方法研究了由随机S盒来构造的动态S盒的差分性质。理论和实验分析都表明,这类动态S盒变换具有远好于单个S盒的差分特性。
This paper discusses the dynamic S-boxes using the combination of inversion mapping and an affine transformation over the finite field. First, a definition of differential probability for dynamic S-box is provided. Necessary and sufficient conditions of impossible differentiMs in dynamic S-box and the number of impossible differentials are presented. Then, an upper bound on the maximum differential probability of dynamic S-box is proved, and the accessibility of this bound is presented. Finally, the differential properties of dynamic S-box consisting of randomly chosen S-boxes are researched by simulation experiments. The theoretical and experimental analyses show that dynamic S-box is better than single S-box in differential properties.
出处
《电子与信息学报》
EI
CSCD
北大核心
2014年第1期74-81,共8页
Journal of Electronics & Information Technology
基金
国家自然科学基金(61272488
61272041)资助课题
关键词
密码学
分组密码
动态S盒
差分分析
Cryptography
Block cipher
Dynamic S-box
Differential cryptanalysis
作者简介
通信作者：刘国强liuguoqiang87@hotmail．com刘国强：男，1986年生，博士生，研究方向为分组密码设计与分析．
金晨辉：男，1965年生，博士，教授，博士生导师，研究方向为密码学和信息安全
