LRC codes over characteristic $2$
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908939995578368 |
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| author | Galluccio, Francisco |
| author_facet | Galluccio, Francisco |
| contents | In this work the construction of LRC codes given in [6] is completed, in the case of even characteristic. A general construction is presented, that enables us to obtain linear LRC codes of large length $n \approx q^4$, dimension and distance of order $q^4$, and locality $r =q-1$. In addition, the cases $q = 4$ and $q=8$ are studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04678 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | LRC codes over characteristic $2$ Galluccio, Francisco Information Theory Number Theory 94B27, 14H05, 11G20, 11T71 In this work the construction of LRC codes given in [6] is completed, in the case of even characteristic. A general construction is presented, that enables us to obtain linear LRC codes of large length $n \approx q^4$, dimension and distance of order $q^4$, and locality $r =q-1$. In addition, the cases $q = 4$ and $q=8$ are studied. |
| title | LRC codes over characteristic $2$ |
| topic | Information Theory Number Theory 94B27, 14H05, 11G20, 11T71 |
| url | https://arxiv.org/abs/2604.04678 |