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In distributed storage, erasure codes -- like Reed-Solomon Codes -- are oftenemployed to provide reliability. In this setting, it is desirable to be able torepair one or more failed nodes while minimizing the repair bandwidth. In thiswork, motivated by Reed-Solomon codes, we study the problem of repairingmultiple failed nodes in a scalar MDS code. We extend the framework of(Guruswami and Wootters, 2017) to give a framework for constructing repairschemes for multiple failures in general scalar MDS codes, in the centralizedrepair model. We then specialize our framework to Reed-Solomon codes, andextend and improve upon recent results of (Dau et al., 2017).

Repairing Multiple Failures for Scalar MDS Codes