On the fault-tolerance of unified-form exact-MSR codes

This paper propose an error correction algorithm operating on the basis of the unified-form of minimum-storage-regenerating (MSR) codes. The unified-form MSR code is a new class of MSR code operating at [n, k, d. 2k. 2] MSR points in a unified form of matrix product framework. By selecting encoding matrices to be Vandermonde matrices, the Reed-Solomon (RS) error correcting codes can be integrated into the node reconstruction and data reconstruction procedures. Hence, the fault-tolerant decoding schemes are proposed through utilizing the RS codes on unified-form MSR codes. The proposed decoding schemes are capable of error correction, and thus can tolerate transmission errors in node regenerating and data reconstruction processes.