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arXiv · 2205.11015

Practical Considerations in Repairing Reed-Solomon Codes

Thi Xinh Dinh·Luu Y Nhi Nguyen·Lakshmi J. Mohan·Serdar Boztas·Tran Thi Luong·Son Hoang Dau
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Abstract

The issue of repairing Reed-Solomon codes currently employed in industry has been sporadically discussed in the literature. In this work we carry out a systematic study of these codes and investigate important aspects of repairing them under the trace repair framework, including which evaluation points to select and how to implement a trace repair scheme efficiently. In particular, we employ different heuristic algorithms to search for low-bandwidth repair schemes for codes of short lengths with typical redundancies and establish three tables of current best repair schemes for $[n, k]$ Reed-Solomon codes over GF(256) with $4 \leq n \leq 16$ and $r = n - k \in \{2,3,4\}$. The tables cover most known codes currently used in the distributed storage industry.

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Thi Xinh Dinh, Luu Y Nhi Nguyen, Lakshmi J. Mohan, Serdar Boztas, Tran Thi Luong, Son Hoang Dau. 2022-05-23. Practical Considerations in Repairing Reed-Solomon Codes. https://arxiv.org/abs/2205.11015

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