An Efficient Piggybacking Design with Lower Repair Bandwidth and Lower Sub-packetization
Zhengyi Jiang, Hanxu Hou, Yunghsiang Sam Han, Zhongyi Huang, Bo Bob Bai, Gong Zhang · 2021
Piggybacking is a class of coding framework for MDS array codes that can achieve small repair bandwidth with small sub-packetization. An ($n, k, \alpha$) piggybacking code can be represented by an$n\times \alpha$array such that each node (row) stores$\alpha$symbols and any$k$rows can retrieve all$k\alpha$data symbols. In this paper, we first propose a new piggybacking framework for MDS array codes with lower sub-packetization and then propose two specific piggybacking codes based on the proposed framework. We show that the average repair bandwidth of any single-node failure of our piggybacking codes is lower than all the existing piggybacking codes with the same parameters when the sub-packetization is small (usually$\alpha\leq 8$) and$n-k\geq 10$.