On the Construction of Involutory MDS Matrices over F2^m

作     者：BAI Jian SUN Yao WANG Dingkang BAI Jian;SUN Yao;WANG Dingkang

作者机构：KLMMAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China SKLOISInstitute of Information EngineeringChinese Academy of SciencesBeijing 100093China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2020年第33卷第3期

页      面：836-848页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by the National Natural Science Foundation of China under Grant No.11371356&61877058 CAS Project QYZDJ-SSW-SYS022 the Strategy Cooperation Project AQ-1701 

主　　题：Diffusion layer involutory MDS matrix lightweight 

摘      要：This paper studies the problem of constructing lightweight involutory maximal distance separable(MDS)*** authors find the exact lower bound of the XOR counts for 4×4 involutory MDS matrices over F2^***,some new structures of 4×4 involutory MDS matrices over F2^mare provided to construct involutory MDS matrices and the authors constructed the lightest4×4 involutory MDS matrices over F2^8so far by using these structures.