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New Piggybacking Codes with Lower Repair Bandwidth for Any Single-Node Failure

Piggybacking codes are an important class of array codes with small sub-packetization to achieve small repair bandwidth for single-node failures. In this paper, we propose new piggybacking codes such that the sub-packetization is equal to the number of parity nodes. Our piggybacking codes have an efficient repair method for any single-node failure, including both data nodes and parity nodes. We show that the proposed piggybacking codes have strictly less repair bandwidth for any single-node failure than that of the existing piggybacking codes, when the code rate is k/n = 0.8, 0.9 and the number of parity nodes ranges from 6 to 40.