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Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image
Institution:1. Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China;2. PCL Research Center of Networks and Communications, Peng Cheng Laboratory, Shenzhen 518055, China;3. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China;4. Tianjin Key Laboratory of Network and Data Security Technology, Nankai University, Tianjin 300071, China;1. School of Mathematics, South China University of Technology, Guangzhou 510641, PR China;2. School of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang 441053, PR China;1. Department of Mathematics Education, Teachers College, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, South Korea;2. Department of Mathematics, Ewha Womans University, Seoul 03760, South Korea;1. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China;2. State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, China;3. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China;1. School of Science, Chang''an University, Xi''an 710064, China;2. School of Information Engineering, Chang''an University, Xi''an 710064, China
Abstract:
Keywords:Simplicial complexes  Trace codes  Few-weight codes
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