The lightest 4×4 MDS matrices over GL(4,F2)

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	The lightest 4×4 MDS matrices over GL(4,F2)
其他题名	The lightest 4×4 MDS matrices over GL（4, F2）
	Bai Jian 1; Li Ting 2; Sun Yao 2; Wang Dingkang 1; Lin Dongdai 2
	2018
发表期刊	中国科学:信息科学(英文版)
ISSN	1674-733X
卷号	61.0 期号:011 页码:119102-1
摘要	Dear editor,We present an algorithm for searching MDS matrices without any prior structures. We find all the lightest 4×4 MDS matrices over GL(4, F2)that have 10 XOR-counts, including the Toeplitz MDS matrices presented in 1. We classify all these lightest MDS matrices to 3 types, and give some sufficient and necessary conditions for these3 types matrices for being MDS matrices. Using these conditions, we directly construct more4×4 MDS matrices over GL(m, F2) with 10 XORcounts for m4.
其他摘要	We present an algorithm for searching MDS matrices without any prior structures. We find all the lightest 4 × 4 MDS matrices over GL(4, F2) that have 10 XOR-counts, including the Toeplitz MDS matrices presented in 1. We classify all these lightest MDS matrices to 3 types, and give some sufficient and necessary conditions for these 3 types matrices for being MDS matrices. Using these conditions, we directly construct more 4×4 MDS matrices over GL(m, F_2) with 10 XORcounts for m > 4.
关键词	MDS Toeplitz editor
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:6380481
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55554
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.中国科学院信息工程研究所
推荐引用方式 GB/T 7714	Bai Jian,Li Ting,Sun Yao,et al. The lightest 4×4 MDS matrices over GL(4,F2)[J]. 中国科学:信息科学(英文版),2018,61.0(011):119102-1.
APA	Bai Jian,Li Ting,Sun Yao,Wang Dingkang,&Lin Dongdai.(2018).The lightest 4×4 MDS matrices over GL(4,F2).中国科学:信息科学(英文版),61.0(011),119102-1.
MLA	Bai Jian,et al."The lightest 4×4 MDS matrices over GL(4,F2)".中国科学:信息科学(英文版) 61.0.011(2018):119102-1.