Repairing Multiple Failures in the Suh-Ramchandran Regenerating Codes

TL;DR

This paper extends the Suh-Ramchandran regenerating codes to efficiently repair double node failures collaboratively, maintaining optimal repair bandwidth using interference alignment techniques.

Contribution

It demonstrates that the same code structure can repair double node failures collaboratively, not just single failures, with optimal bandwidth, providing a significant advancement in regenerating code robustness.

Findings

Double node failures can be repaired collaboratively with optimal bandwidth.

The code structure supports both single and double failure repairs.

An explicit example with six nodes illustrates the repair process.

Abstract

Using the idea of interference alignment, Suh and Ramchandran constructed a class of minimum-storage regenerating codes which can repair one systematic or one parity-check node with optimal repair bandwidth. With the same code structure, we show that in addition to single node failure, double node failures can be repaired collaboratively with optimal repair bandwidth as well. We give an example of how to repair double failures in the Suh-Ramchandran regenerating code with six nodes, and give the proof for the general case.