An Improved Decoding Algorithm for Generalized RDP Codes

The generalized RDP codes are identified as the most practical and efficient triple-erasure correcting MDS (maximum-distance separable) codes, since they can encode optimally and support arbitrary code length. However, none of the existing decoding algorithms for these codes is adequate in that their decoding complexity leaves a relatively large room for improvement. In this letter, we present an improved decoding algorithm for the generalized RDP codes. Compared with the existing decoding algorithms, the proposed algorithm has a much lower decoding complexity, which is very close to the theoretical lower bound.