Asymptotic construction of locally repairable codes with multiple recovering sets
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866916126444748800 |
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| author | Li, Singsong Liu, Shu Ma, Liming Xing, Chaoping |
| author_facet | Li, Singsong Liu, Shu Ma, Liming Xing, Chaoping |
| contents | Locally repairable codes have been extensively investigated due to practical applications in distributed and cloud storage systems in recent years. However, not much work on asymptotic behavior of locally repairable codes has been done. In particular, there is few result on constructive lower bound of asymptotic behavior of locally repairable codes with multiple recovering sets. In this paper, we construct some families of asymptotically good locally repairable codes with multiple recovering sets via automorphism groups of function fields of the Garcia-Stichtenoth towers. The main advantage of our construction is to allow more flexibility of localities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09898 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic construction of locally repairable codes with multiple recovering sets Li, Singsong Liu, Shu Ma, Liming Xing, Chaoping Information Theory Locally repairable codes have been extensively investigated due to practical applications in distributed and cloud storage systems in recent years. However, not much work on asymptotic behavior of locally repairable codes has been done. In particular, there is few result on constructive lower bound of asymptotic behavior of locally repairable codes with multiple recovering sets. In this paper, we construct some families of asymptotically good locally repairable codes with multiple recovering sets via automorphism groups of function fields of the Garcia-Stichtenoth towers. The main advantage of our construction is to allow more flexibility of localities. |
| title | Asymptotic construction of locally repairable codes with multiple recovering sets |
| topic | Information Theory |
| url | https://arxiv.org/abs/2402.09898 |