Yajuan Liu, Han Cai, Xiaohu Tang: A New Cooperative Repair Scheme With k + 1 Helper Nodes for (n, k) Hadamard MSR Codes With Small Sub-Packetization

发表刊物：IEEE Transactions on Information Theory

摘要：Cooperative repair model is an available technology to deal with multiple node failures in distributed storage system. Recently, explicit constructions of cooperative MSR codes were given by Ye (IEEE Transactions on Information Theory, 2020) with sub-packetization level $(d-k+h)(d-k+1)^n$. Specifically, the sub-packetization level is $(h+1)2^n$ when $d=k+1$. In this paper, we propose a new cooperative repair scheme by means of the inter-instance pairing and intra-instance pairing inherited from the perfect code which reduces the sub-packetization to $2^n$ when $(h+1)|2^n$ and $(2\ell+1)2^n$ when $h+1=(2\ell+1)2^m$ for $\ell\ge 1$, $m\ge 0$ with $d=k+1$ helper nodes. That is to say, the sub-packetization is $h + 1 $ times or $2^m$ times less than Ye's. It turned out to be the best result so far known.

论文类型：SCI

卷号：69

期号：5

页面范围：2820 - 2829

是否译文：否

发表时间：2023-05-15

发布期刊链接：https://ieeexplore.ieee.org/document/10006831