| Paper ID | D7-S7-T4.1 |
| Paper Title |
Asymptotic Bounds on the Rate of Locally Repairable Codes |
| Authors |
Ron M. Roth, Technion, Israel |
| Session |
D7-S7-T4: Locally Recoverable Codes II |
| Chaired Session: |
Wednesday, 21 July, 00:00 - 00:20 |
| Engagement Session: |
Wednesday, 21 July, 00:20 - 00:40 |
| Abstract |
New asymptotic upper bounds are presented on the rate of sequences of locally repairable codes (LRCs) with a prescribed relative minimum distance and locality over a finite field F. The bounds apply to LRCs in which the recovery functions are linear; in particular, the bounds apply to linear LRCs over F. The new bounds are shown to improve on previously published results, especially when the repair groups are disjoint.
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