On the Construction of Involutory MDS Matrices overF2m

doi:10.1007/s11424-019-8125-0

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	On the Construction of Involutory MDS Matrices overF2m
	Bai, Jian 1,2; Sun, Yao 3; Wang, Dingkang 1,2
	2020-06-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	33 期号:3 页码:836-848
摘要	This paper studies the problem of constructing lightweight involutory maximal distance separable (MDS) matrices. The authors find the exact lower bound of the XOR counts for 4 x 4 involutory MDS matrices over F24. Further, some new structures of 4 x 4 involutory MDS matrices over F2m are provided to construct involutory MDS matrices and the authors constructed the lightest 4 x 4 involutory MDS matrices over F28 so far by using these structures. Keywords Diffusion layer, involutory MDS matrix, lightweight.
关键词	Diffusion layer involutory MDS matrix lightweight
DOI	10.1007/s11424-019-8125-0
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000540517700016
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51618
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, Jian
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Informat Engn, SKLOIS, Beijing 100093, Peoples R China
推荐引用方式 GB/T 7714	Bai, Jian,Sun, Yao,Wang, Dingkang. On the Construction of Involutory MDS Matrices overF2m[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2020,33(3):836-848.
APA	Bai, Jian,Sun, Yao,&Wang, Dingkang.(2020).On the Construction of Involutory MDS Matrices overF2m.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,33(3),836-848.
MLA	Bai, Jian,et al."On the Construction of Involutory MDS Matrices overF2m".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 33.3(2020):836-848.