Latin Matchings and Ordered Designs OD(n-1, n, 2n-1)
文献类型：期刊论文
| 作者 | Jin, Kai3; Zhu, Taikun3; Gu, Zhaoquan2; Sun, Xiaoming1 |
| 刊名 | MATHEMATICS
 |
| 出版日期 | 2022-12-01 |
| 卷号 | 10期号:24页码:18 |
| 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 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China ; Shenzhen Science and Technology Program[62002394] ; [202206193000001] ; [20220817175048002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000904397500001 |
| 出版者 | MDPI |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/20118]  |
| 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.Chinese Acad Sci, Inst Comp technol, Beijing 100864, Peoples R China 2.Harbin Inst Technol Shenzhen, Sch Comp Sci & Technol, Shenzhen 518055, Peoples R China 3.Sun Yat Sen Univ, Sch Intelligent Syst Engn, Shenzhen Campus, Shenzhen 518107, 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. |
入库方式： OAI收割
来源：计算技术研究所
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