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A class of binary cyclic codes with generalized Niho exponents
Institution:1. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062, PR China;2. State Key Laboratory of Information Security (Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093), PR China;3. Department of Informatics, University of Bergen, N-5020 Bergen, Norway
Abstract:In this paper, a class of binary cyclic codes with three generalized Niho-type nonzeros is introduced. Based on some techniques in solving certain equations over finite fields, the proposed cyclic codes are shown to have six nonzero weights and the weight distribution is also completely determined.
Keywords:Niho exponent  Cyclic code  Weight distribution  Exponential sum
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