Codes With Minimum Bandwidth Cooperative Local Regeneration

Locally recoverable codes (LRCs) are known to reduce the repair locality, i.e., the number of nodes accessed during node repair, in distributed storage systems. Regenerating codes, on the other hand, offer a decreased repair bandwidth, which is the repair traffic incurred during node repairs. Locally regenerating codes (LRGCs), which are constructed via intertwining regenerating codes of smaller block lengths, simultaneously offer a small repair locality and repair bandwidth. In this letter, we construct a family of LRGCs where the constituent codes are bandwidth-efficient, minimum bandwidth cooperative regenerating codes. The newly constructed LRGCs are optimal with respect to both minimum distance and rate.