The equivalent condition for GRL codes to be MDS, AMDS or self-dual
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914307012296704 |
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| author | Liang, Zhonghao Wan, Yongkang Liao, Qunying |
| author_facet | Liang, Zhonghao Wan, Yongkang Liao, Qunying |
| contents | It's well known that MDS, AMDS or self dual codes have good algebraic properties, and are applied in communication systems, data storage, quantum codes, and so on. In this paper, we focus on a class of generalized Roth-Lempel linear codes which are not not equivalent to linear codes in [21],[22] and give an equivalent condition for them or their dual to be non RS MDS, AMDS or non RS self-dual and some corresponding examples. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_03874 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The equivalent condition for GRL codes to be MDS, AMDS or self-dual Liang, Zhonghao Wan, Yongkang Liao, Qunying Information Theory 94A24, 94B05 It's well known that MDS, AMDS or self dual codes have good algebraic properties, and are applied in communication systems, data storage, quantum codes, and so on. In this paper, we focus on a class of generalized Roth-Lempel linear codes which are not not equivalent to linear codes in [21],[22] and give an equivalent condition for them or their dual to be non RS MDS, AMDS or non RS self-dual and some corresponding examples. |
| title | The equivalent condition for GRL codes to be MDS, AMDS or self-dual |
| topic | Information Theory 94A24, 94B05 |
| url | https://arxiv.org/abs/2506.03874 |