Overhead-Free In-Place Recovery Scheme for XOR-Based Storage Codes

This paper proposes a novel recovery scheme for the XOR-based storage codes with the increasing-difference property. For a message of kL bits stored in n storage nodes, a data collector connects any k out of the n storage nodes to recover the message. In our scheme, the data collector acquires exactly L bits for each node, so that no transmission overhead exists. Furthermore, we propose an in-place decoding algorithm that acquires less auxiliary space than the existing decoding algorithm, and the decoding computational complexity of our decoding algorithm is the same as the existing decoding algorithm.