Latin Matchings and Ordered Designs OD(n-1, n, 2n-1)

doi:10.3390/math10244703

	Latin Matchings and Ordered Designs OD(n-1, n, 2n-1)
	Jin, Kai 1; Zhu, Taikun 1; Gu, Zhaoquan 2; Sun, Xiaoming 3
	2022-12-01
发表期刊	MATHEMATICS
卷号	10 期号:24 页码:18
摘要	This paper revisits a combinatorial structure called the large set of ordered design (LOD). Among others, we introduce a novel structure called Latin matching and prove that a Latin matching of order n leads to an LOD(n-1, n, 2n-1); thus, we obtain constructions for LOD(1, 2, 3), LOD(2, 3, 5), and LOD(4, 5, 9). Moreover, we show that constructing a Latin matching of order n is at least as hard as constructing a Steiner system S(n-2, n-1, 2n-2); therefore, the order of a Latin matching must be prime. We also show some applications in multiagent systems.
关键词	combinatorial design ordered design Hamming code error-correcting code hat guessing game Latin matching antipodal matching Latin square and hypercube multiagent system
DOI	10.3390/math10244703
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China ; Shenzhen Science and Technology Program[62002394] ; [202206193000001] ; [20220817175048002]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000904397500001
出版者	MDPI
引用统计
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/20119
专题	中国科学院计算技术研究所期刊论文
通讯作者	Jin, Kai
作者单位	1.Sun Yat Sen Univ, Sch Intelligent Syst Engn, Shenzhen Campus, Shenzhen 518107, Peoples R China 2.Harbin Inst Technol Shenzhen, Sch Comp Sci & Technol, Shenzhen 518055, Peoples R China 3.Chinese Acad Sci, Inst Comp technol, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Jin, Kai,Zhu, Taikun,Gu, Zhaoquan,et al. Latin Matchings and Ordered Designs OD(n-1, n, 2n-1)[J]. MATHEMATICS,2022,10(24):18.
APA	Jin, Kai,Zhu, Taikun,Gu, Zhaoquan,&Sun, Xiaoming.(2022).Latin Matchings and Ordered Designs OD(n-1, n, 2n-1).MATHEMATICS,10(24),18.
MLA	Jin, Kai,et al."Latin Matchings and Ordered Designs OD(n-1, n, 2n-1)".MATHEMATICS 10.24(2022):18.