New Centralized MSR Codes With Small Sub-packetization

Y Zhang - arXiv preprint arXiv:2401.16866, 2024 - arxiv.org
Centralized repair refers to repairing $ h\geq 2$ node failures using $ d $ helper nodes in a
centralized way, where the repair bandwidth is counted by the total amount of data …

A New Centralized Multi-Node Repair Scheme of MSR codes with Error-Correcting Capability

S Li, M Gadouleau, J Wang, D Zheng - arXiv preprint arXiv:2309.15668, 2023 - arxiv.org
Minimum storage regenerating (MSR) codes, with the MDS property and the optimal repair
bandwidth, are widely used in distributed storage systems (DSS) for data recovery. In this …

On lower bounds on sub-packetization level of MSR codes and on the structure of optimal-access MSR codes achieving the bound

SB Balaji, M Vajha, PV Kumar - arXiv preprint arXiv:1710.05876, 2017 - arxiv.org
We present two lower bounds on sub-packetization level $\alpha $ of MSR codes with
parameters $(n, k, d= n-1,\alpha) $ where $ n $ is the block length, $ k $ dimension, $ d …

Constructing MSR codes with subpacketization 2n/3 for k + 1 helper nodes

G Li, N Wang, S Hu, M Ye - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
Wang et al.(IEEE Transactions on Information Theory, vol. 62, no. 8, 2016) proposed an
explicit construction of an (n= k+ 2, k) Minimum Storage Regenerating (MSR) code with 2 …

A high-rate MSR code with polynomial sub-packetization level

B Sasidharan, GK Agarwal… - 2015 IEEE International …, 2015 - ieeexplore.ieee.org
We present a high-rate (n, k, d= n− 1)-MSR code with a sub-packetization level that is
polynomial in the dimension k of the code. While polynomial sub-packetization level was …

Lower Bounds on the Sub-Packetization of Optimal-Access MSR Codes for Multiple-Node Repair

L Wang, Z Zhang, S Hu - arXiv preprint arXiv:2501.12984, 2025 - arxiv.org
We establish lower bounds on the sub-packetization of optimal-access MSR codes in the
context of multiple-node failures. These bounds generalize the tight bounds for single-node …

Constructing cooperative MSR codes with sub-packetization

Z Zhang, G Li, S Hu - arXiv preprint arXiv:2405.02923, 2024 - arxiv.org
We address the multi-node failure repair challenges for MDS array codes. Presently, two
primary models are employed for multi-node repairs: the centralized model where all failed …

Constructing Cooperative MSR Codes with Sub-Packetization

Z Zhang, G Li, S Hu - 2024 IEEE International Symposium on …, 2024 - ieeexplore.ieee.org
We address the multi-node failure repair challenges for MDS array codes. Presently, two
primary models are employed for multi-node repairs: the centralized model where all failed …

-MSR Codes for Any Set of Helper Nodes

V Ramkumar, N Raviv, I Tamo - arXiv preprint arXiv:2408.16584, 2024 - arxiv.org
Minimum storage regenerating (MSR) codes are a class of maximum distance separable
(MDS) array codes capable of repairing any single failed node by downloading the minimum …

Constructing MSR Codes With Subpacketization 2n/3 for k + 1 Helper Nodes

N Wang, G Li, S Hu, M Ye - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
Wang et al.(IEEE Transactions on Information Theory, vol. 62, no. 8, 2016) proposed an
explicit construction of an Minimum Storage Regenerating (MSR) code with 2 parity nodes …