一类循环MDS矩阵的构造及计数  

Constructing and Counting a Class of Cyclic MDS Matrix

作　　者：董新锋[1] 董新科[2] 李枫 DONG Xinfeng;DONG Xinke;Li Feng(Science and Technology on Communication Security Laboratory,Chengdu 610041,Sichuan,China;Southwest University of Science and Technology,Mianyang 621010,Sichuan,China)

机构地区：[1]保密通信重点实验室,四川成都610041 [2]西南科技大学计算机科学与技术学院,四川绵阳621010

出　　处：《西南科技大学学报》2018年第2期79-82,共4页Journal of Southwest University of Science and Technology

基　　金：国家重点研发计划资助(2017YFB0802000)

摘　　要：MDS矩阵是密码算法的主要扩散部件之一,具有最大的差分分支数和线性分支数。基于Cauchy矩阵的构造方法提出了一种循环MDS矩阵的构造方法,并给出了该类MDS矩阵的计数结果和相应实例。该类循环MDS矩阵能够快速有效地实现,可以为实际应用中的算法设计提供大量的循环MDS矩阵。MDS matrix is one of the most used diffusion components in Cryptographic Algorithm,which has the maximal differential and linear branch number. A class of cyclic MDS matrix is presented in this paper,which is based on the method of constructing Cauchy MDS matrix,then,the counting results of the cyclic MDS matrix are given and an example is presented in the last section of the paper. These cyclic MDS matrices can be effectively implemented to design cryptographic algorithms in many applications.

关 键 词：MDS矩阵 CAUCHY矩阵 密码算法 扩散部件 

分 类 号：TN918.1[电子电信—通信与信息系统]