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arXiv · 2305.03442

Repair of Reed-Solomon Codes in the Presence of Erroneous Nodes

Stanislav Kruglik·Gaojun Luo·Wilton Kim·Shubhransh Singhvi·Han Mao Kiah·San Ling·Huaxiong Wang
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Abstract

We consider the repair scheme of Guruswami-Wootters for the Reed-Solomon code and ask: can we correctly repair a failed node in the presence of erroneous nodes? Equivalently, we consider the collection of downloaded traces as a code and investigate its code-distance properties. We propose three lower bounds on its minimum distance and study methods to efficiently correct errors close to these bounds.

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Stanislav Kruglik, Gaojun Luo, Wilton Kim, Shubhransh Singhvi, Han Mao Kiah, San Ling, Huaxiong Wang. 2023-05-05. Repair of Reed-Solomon Codes in the Presence of Erroneous Nodes. https://arxiv.org/abs/2305.03442

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