Abstract
In this paper, we determine the weight distribution of several classes of double cyclic codes over Galois rings by Gauss sums.
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Acknowledgements
The authors are deeply indebted to the referees and wish to thank them for their important suggestions and comments. Jian Gao is supported by the National Natural Science Foundation of China (Grant Nos. 12071264,11701336, 11626144, 11671235). Fang-Wei Fu is supported by the National Key Research and Development Program of China (Grant No. 2018YFA0704703), the National Natural Science Foundation of China (Grant No. 61971243), the Natural Science Foundation of ,Tianjin20JCZDJC00610 the Fundamental Research Funds for the Central Universities of China (Nankai University), and the Nankai Zhide Foundation.
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This is one of several papers published in Designs, Codes and Cryptography comprising the “Special Issue: On Coding Theory and Combinatorics: In Memory of Vera Pless”
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Gao, J., Meng, X. & Fu, FW. Weight distribution of double cyclic codes over Galois rings. Des. Codes Cryptogr. 90, 2529–2549 (2022). https://doi.org/10.1007/s10623-021-00914-3
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DOI: https://doi.org/10.1007/s10623-021-00914-3