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arXiv · 2511.01309

Several classes of three-weight or four-weight linear codes

Qunying Liao·Zhaohui Zhang·Peipei Zheng
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Abstract

In this manuscript, we construct a class of projective three-weight linear codes and two classes of projective four-weight linear codes over F2 from the defining sets construction, and determine their weight distributions by using additive characters. Especially, the projective three-weight linear code and one class of projective four-weight linear codes (Theorem 4.1) can be applied in secret sharing schemes.

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Qunying Liao, Zhaohui Zhang, Peipei Zheng. 2025-11-03. Several classes of three-weight or four-weight linear codes. https://arxiv.org/abs/2511.01309

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