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Erasure coding is one of the main mechanisms to add redundancy in a distributed storage system, by which a file with k data segments is encoded into a file with n coded segments such that any k coded segments can be used to recover the original k data segments. Each coded segment is stored at a storage server. Under an adversarial setting in which the storage servers can exhibit Byzantine behavior, remote data checking (RDC) can be used to ensure that the stored data remains retrievable over time. The main previous RDC scheme to offer such strong security guarantees, HAIL, has an inefficient repair procedure, which puts a high load on the data owner when repairing even one corrupt data segment.
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Chen et al. (2015) studied this question.
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