|Partial MDS Codes with Local Regeneration
|Lukas Holzbaur, Technical University of Munich, Germany; Sven Puchinger, Technical University of Denmark, Denmark; Eitan Yaakobi, Technion --- Israel Institute of Technology, Israel; Antonia Wachter-Zeh, Technical University of Munich, Germany
|M.4: Codes for Distributed Storage IV
|Coding for Storage and Memories
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|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.