thelightest44mdsmatricesovergl4f2

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	thelightest44mdsmatricesovergl4f2
	Bai Jian 1; Li Ting 2; Sun Yao 2; Wang Dingkang1 ; Lin Dongdai 2
	2018
Source Publication	sciencechinainformationscience
ISSN	1674-733X
Volume	061 Issue:011 Pages:119102
Abstract	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.
Language	英语
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/39453
Collection	系统科学研究所
Affiliation	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
Recommended Citation GB/T 7714	Bai Jian,Li Ting,Sun Yao,et al. thelightest44mdsmatricesovergl4f2[J]. sciencechinainformationscience,2018,061(011):119102.
APA	Bai Jian,Li Ting,Sun Yao,Wang Dingkang,&Lin Dongdai.(2018).thelightest44mdsmatricesovergl4f2.sciencechinainformationscience,061(011),119102.
MLA	Bai Jian,et al."thelightest44mdsmatricesovergl4f2".sciencechinainformationscience 061.011(2018):119102.

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