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Necessary and sufficient conditions of two classes of permutation polynomials
Affiliation: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. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062, China;2. School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6, Canada;1. College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, 410073, China;2. State Key Laboratory of Cryptology, Beijing, 100878, 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. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China;4. Department of Informatics, University of Bergen, Bergen N-5020, Norway;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. Institute of Mathematics, Academia Sinica, Taipei, Taiwan, ROC;2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, United States of America
Abstract:
Keywords:Finite fields  Binomials  Permutation polynomials  Exponential sums  Trace function
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