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arXiv · 2312.12803

Repairing Schemes for Tamo-Barg Codes

Han Cai·Ying Miao·Moshe Schwartz·Xiaohu Tang
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Abstract

In this paper, the repair problem for erasures beyond locality in locally repairable codes is explored under a practical system setting, where a rack-aware storage system consists of racks, each containing a few parity checks. This is referred to as a rack-aware system with locality. Two repair schemes are devised to reduce the repair bandwidth for Tamo-Barg codes under the rack-aware model by setting each repair set as a rack. Additionally, a cut-set bound for locally repairable codes under the rack-aware model with locality is introduced. Using this bound, the second repair scheme is proven to be optimal. Furthermore, the partial-repair problem is considered for locally repairable codes under the rack-aware model with locality, and both repair schemes and bounds are introduced for this scenario.

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Han Cai, Ying Miao, Moshe Schwartz, Xiaohu Tang. 2024-07-26. Repairing Schemes for Tamo-Barg Codes. https://arxiv.org/abs/2312.12803

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