Practical Considerations in Repairing Reed-Solomon Codes

05/23/2022

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by   Thi Xinh Dinh, et al.

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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 ≤ n ≤ 16 and r = n - k ∈{2,3,4}. The tables cover most known codes currently used in the distributed storage industry.