Partial MDS Codes With Regeneration

Partial MDS (PMDS) and sector-disk (SD) codes are classes of erasure correcting that combine locality with strong correction capabilities. We construct PMDS SD local regeneration where each code is a bandwidth-optimal regenerating code. In the event node failure, these reduce both, number servers have to be contacted as well amount network traffic required for repair process. The constructions require significantly smaller field size than only other construction known in literature. Further, we present global which allow efficiently patterns failures exceed capability thereby invoke across different groups.