Some three-weight linear codes and their complete weight enumerators and weight hierarchies
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929525523218432 |
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| author | Li, Xiumei Chen, Zongxi Li, Fei |
| author_facet | Li, Xiumei Chen, Zongxi Li, Fei |
| contents | Linear codes with a few weights can be applied to secrete sharing, authentication codes, association schemes and strongly regular graphs. For an odd prime power $q$, we construct a class of three-weight $\F_q$-linear codes from quadratic functions via a bivariate construction and then determine the complete weight enumerators and weight hierarchies of these linear codes completely. This paper generalizes some results in Li et al. (2022) and Hu et al. (2024). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02209 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some three-weight linear codes and their complete weight enumerators and weight hierarchies Li, Xiumei Chen, Zongxi Li, Fei Information Theory Number Theory 94B05, 11T71 Linear codes with a few weights can be applied to secrete sharing, authentication codes, association schemes and strongly regular graphs. For an odd prime power $q$, we construct a class of three-weight $\F_q$-linear codes from quadratic functions via a bivariate construction and then determine the complete weight enumerators and weight hierarchies of these linear codes completely. This paper generalizes some results in Li et al. (2022) and Hu et al. (2024). |
| title | Some three-weight linear codes and their complete weight enumerators and weight hierarchies |
| topic | Information Theory Number Theory 94B05, 11T71 |
| url | https://arxiv.org/abs/2410.02209 |