Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.12493 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917927377174528 |
|---|---|
| author | Huang, Junjie Zhao, Chang-An |
| author_facet | Huang, Junjie Zhao, Chang-An |
| contents | Locally repairable codes are widely applicable in contemporary large-scale distributed cloud storage systems and various other areas. By making use of some algebraic structures of elliptic curves, Li et al. developed a series of $q$-ary optimal locally repairable codes with lengths that can extend to $q+2\sqrt{q}$. In this paper, we generalize their methods to hyperelliptic curves of genus $2$, resulting in the construction of several new families of $q$-ary optimal or almost optimal locally repairable codes. Our codes feature lengths that can approach $q+4\sqrt{q}$, and the locality can reach up to $239$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal and Almost Optimal Locally Repairable Codes from Hyperelliptic Curves Huang, Junjie Zhao, Chang-An Information Theory Locally repairable codes are widely applicable in contemporary large-scale distributed cloud storage systems and various other areas. By making use of some algebraic structures of elliptic curves, Li et al. developed a series of $q$-ary optimal locally repairable codes with lengths that can extend to $q+2\sqrt{q}$. In this paper, we generalize their methods to hyperelliptic curves of genus $2$, resulting in the construction of several new families of $q$-ary optimal or almost optimal locally repairable codes. Our codes feature lengths that can approach $q+4\sqrt{q}$, and the locality can reach up to $239$. |
| title | Optimal and Almost Optimal Locally Repairable Codes from Hyperelliptic Curves |
| topic | Information Theory |
| url | https://arxiv.org/abs/2502.12493 |