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arXiv · 1612.01361

Repairing Reed-Solomon Codes With Multiple Erasures

Hoang Dau·Iwan Duursma·Han Mao Kiah·Olgica Milenkovic
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Abstract

Despite their exceptional error-correcting properties, Reed-Solomon codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth: A naive repair approach would require the whole file to be reconstructed in order to recover a single erased codeword symbol. In a recent work, Guruswami and Wootters (STOC'16) proposed a single-erasure repair method for Reed-Solomon codes that achieves the optimal repair bandwidth amongst all linear encoding schemes. Their key idea is to recover the erased symbol by collecting a sufficiently large number of its traces, each of which can be constructed from a number of traces of other symbols. We extend the trace collection technique to cope with two and three erasures.

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Hoang Dau, Iwan Duursma, Han Mao Kiah, Olgica Milenkovic. 2016-11-28. Repairing Reed-Solomon Codes With Multiple Erasures. https://doi.org/10.1109/tit.2018.2827942

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