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On a conjecture on permutation rational functions over finite fields
Institution:1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Italy;2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA;1. Department of Mathematics and Computer Science, University of Perugia, Italy;2. Department of Mathematics and Computer Science “Ulisse Dini”, University of Florence, Italy;1. Institute of Mathematics, State Academy of Sciences, Pyongyang, Democratic People''s Republic of Korea;2. PGItech Corp., Pyongyang, Democratic People''s Republic of Korea;3. Department of Mathematics, University of Paris VIII, F-93526 Saint-Denis, France;4. University Sorbonne Paris Cité, LAGA, UMR 7539, CNRS, 93430 Villetaneuse, France;5. Télécom Paris, 91120 Palaiseau, France;1. Gongqing College, Nanchang University, Jiujiang 332020, China;2. Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China;3. School of Information Engineering, Nanchang University, Nanchang 330031, 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. 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. School of Mathematical Sciences, Henan Key Laboratory of Big Data Processing and Analysis, Luoyang Normal University, Luoyang 471934, China;2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China;3. State Key Laboratory of Cryptology, P. O. Box 5159, Beijing 100878, China;4. School of Cyber Security, University of Chinese Academy of Sciences, Beijing 100049, China;5. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
Abstract:
Keywords:Finite field  Lang-Weil bound  Permutation  Rational function
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