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Complete weight enumerators of a class of linear codes with two or three weights
Institution:1. School of Science, Chang''an University, Xi''an 710064, China;2. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, PR China;2. State Key Laboratory of Cryptology, P.O. Box 5159, Beijing, 100878, PR China;3. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, PR China;1. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China;2. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;1. Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;2. Department of Electrical Engineering and Computer Science, University of Stavanger, 4036, Stavanger, Norway;3. Department of Informatics, University of Bergen, N-5020 Bergen, Norway;4. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China;1. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062, China;2. Wuhan Maritime Communication Research Institute, Wuhan 430079, China
Abstract:We construct a class of linear codes by choosing a proper defining set and determine their complete weight enumerators and weight enumerators. The results show that they have at most three weights and they are suitable for applications in secret sharing schemes. This is an extension of the results raised by Wang et al. (2017).
Keywords:Linear code  Complete weight enumerator  Weight enumerator  Exponential sum
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