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arXiv · 2509.14878

Four classes of LCD codes from (*)-(L,P)-twisted generalized Reed-Solomon codes

Zhonghao Liang·Qunying Liao
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Abstract

It's well-known that maximum distance separable codes (in short, MDS) and linear complementary dual (in short, LCD) codes are very important in coding theory and practice. In 2023, Yue et al. [25] constructed three classes of LCD MDS codes via (*)-TGRS codes. Recently, Wu et al. [27] generalized the results given by Yue et al. and constructed several classes of LCD MDS codes. In this paper, we unify their constructions by defining the (*)-(L,P)-twisted generalized Reed-Solomon (in short, (*)-(L,P)-TGRS) code, give the parity-check matrix of (*)-(L,P)-TGRS codes, and then construct four classes of LCD codes. Finally, some corresponding examples are given.

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Zhonghao Liang, Qunying Liao. 2025-09-18. Four classes of LCD codes from (*)-(L,P)-twisted generalized Reed-Solomon codes. https://arxiv.org/abs/2509.14878

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