Abstract
Optimal locally repairable codes with information locality are considered. Optimal codes are constructed, whose length is also order-optimal with respect to a new bound on the code length derived in this article. The length of the constructed codes is super-linear in the alphabet size, which improves upon the well known pyramid codes, whose length is only linear in the alphabet size. The recoverable erasure patterns are also analyzed for the new codes. Based on the recoverable erasure patterns, we construct generalized sector-disk (GSD) codes, which can recover from disk erasures mixed with sector erasures in a more general setting than known sector-disk (SD) codes. Additionally, the number of sectors in the constructed GSD codes is super-linear in the alphabet size, compared with known SD codes, whose number of sectors is only linear in the alphabet size.
| Original language | English |
|---|---|
| Article number | 9256276 |
| Pages (from-to) | 686-704 |
| Number of pages | 19 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 67 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 2021 |
Keywords
- Distributed storage
- Goppa codes
- locally repairable codes
- sector-disk codes
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences