Abstract
This paper presents four classes of linear codes from coset representatives of subgroups and cyclotomic coset families of certain finite field, and determines their weight enumerators. These linear codes may have applications in consumer electronics, communications and secret sharing schemes.
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Acknowledgements
The authors wish to thank prof. Qing Xiang for his helpful comments. The work was partially supported by National Natural Science Foundation of China (NSFC) under Grant 11101131.
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Zheng, D., Bao, J. Four classes of linear codes from cyclotomic cosets. Des. Codes Cryptogr. 86, 1007–1022 (2018). https://doi.org/10.1007/s10623-017-0374-0
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DOI: https://doi.org/10.1007/s10623-017-0374-0