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Regenerating codes provide an efficient way to recover data at failed nodesin distributed storage systems. It has been shown that regenerating codes canbe designed to minimize the per-node storage (called MSR) or minimize thecommunication overhead for regeneration (called MBR). In this work, we proposea new encoding scheme for [n,d] error- correcting MSR codes that generalizesour earlier work on error-correcting regenerating codes. We show that bychoosing a suitable diagonal matrix, any generator matrix of the [n,{\alpha}]Reed-Solomon (RS) code can be integrated into the encoding matrix. Hence, MSRcodes with the least update complexity can be found. An efficient decodingscheme is also proposed that utilizes the [n,{\alpha}] RS code to perform datareconstruction. The proposed decoding scheme has better error correctioncapability and incurs the least number of node accesses when errors arepresent.

Update-Efficient Regenerating Codes with Minimum Per-Node Storage