Abstract
Recently, b-symbol codes are proposed to protect against b-symbol errors in b-symbol read channels. It is an interesting subject of study to consider the complete b-symbol weight distribution of cyclic codes since b-symbol metric is a generalization for Hamming metric. The complete b-symbol Hamming weight distribution of irreducible cyclic codes is known in only a few cases. In this paper, we give a complete b-symbol Hamming weight distribution of a class of irreducible cyclic codes with two nonzero b-symbol Hamming weights.
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Acknowledgements
This research is supported by National Natural Science Foundation of China (12071001), Excellent Youth Foundation of Natural Science Foundation of Anhui Province (1808085J20). The authors are grateful to Prof. Tor Helleseth for helpful discussions and suggestions.
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Communicated by G. Korchmaros.
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Zhu, H., Shi, M. & Özbudak, F. Complete b-symbol weight distribution of some irreducible cyclic codes. Des. Codes Cryptogr. 90, 1113–1125 (2022). https://doi.org/10.1007/s10623-022-01030-6
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DOI: https://doi.org/10.1007/s10623-022-01030-6