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Partial MDS Codes with Local Regeneration

Published 14 Jan 2020 in cs.IT and math.IT | (2001.04711v2)

Abstract: Partial MDS (PMDS) and sector-disk (SD) codes are classes of erasure codes that combine locality with strong erasure correction capabilities. We construct PMDS and SD codes where each local code is a bandwidth-optimal regenerating MDS code. The constructions require significantly smaller field size than the only other construction known in literature.

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