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Complete weight enumerators for several classes of two-weight and three-weight linear codes
Affiliation:1. Faculty of School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, Anhui Province, 233030, PR China;2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, PR China;1. School of Mathematical Sciences, 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. School of Cyber Security, University of Chinese Academy of Sciences, Beijing 100049, China;4. College of Mathematics and Physics, Yancheng Institute of Technology, Yancheng, 224003, China;5. School of Mathematical Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China;1. Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan, 430062, China;2. State Key Laboratory of Cryptology, P.O. Box 5159, Beijing 100878, China;1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;2. Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA), MIIT, Nanjing 211106, China;1. School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China;2. Hubei Key Laboratory of Intelligent Wireless Communications, South-Central University for Nationalities, Wuhan 430074, China;3. Department of Electrical Engineering and Computer Science, University of Stavanger, Stavanger, 4036, Norway
Abstract:
Keywords:Linear codes  Complete weight enumerators  Character sums  Weil sums
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