Three mutually orthogonal idempotent Latin squares of orders 22 and 26 |
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| Affiliation: | 1. 45 Milburn Place, St Ives, New South Wales, 2075, Australia;2. Kunming Engineering Institute, Kunming, China;3. Yunnan Institute of Nationalities, Kunming, China;1. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062, China;2. School of Mathematical Science, Qufu Normal University, Qufu, Shandong 273165, China;1. College of Computer Science and Technology, Hengyang Normal University, Hengyang, Hunan, 421001, China;2. Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, 200433, China;3. Fudan-Zhongan Joint Laboratory of Blockchain and Information Security, Shanghai Engineering Research Center of Blockchain, Shanghai, 200433, China;4. Mathematics and Science College, Shanghai Normal University, Shanghai, 200234, China;5. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;1. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, United States of America;2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China;3. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan, 430062, China;1. School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001, China;2. Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science,Fudan University, Shanghai, 200433, China;3. Fudan-Zhongan Joint Laboratory of Blockchain and Information Security, Shanghai Engineering Research Center of Blockchain Shanghai, 200433, China;4. Mathematics and Science College of Shanghai Normal University, Guilin Road #100, Shanghai, 200234, China;5. College of Computer Science and Communication Engineering, Guangxi University of Science and Technology, Liuzhou, 545006, China;1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China;2. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062, China;3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China |
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| Abstract: | Three mutually orthogonal idempotent Latin squares of orders 22 and 26 are constructed, which can be used to obtain 3 HMOLS of type 522 and type 2322 and to obtain a (110, 5, 1)-PMD and a (130 5, 1)-PMD. |
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