MSR codes with linear field size and smallest sub-packetization for any number of helper nodes

G Li, N Wang, S Hu, M Ye - IEEE Transactions on Information …, 2024 - ieeexplore.ieee.org
An array code has k information coordinates and parity coordinates, where each coordinate
is a vector in for some finite field. An MDS array code has the additional property that any k …

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 …

A generic transformation to enable optimal repair/access MDS array codes with multiple repair degrees

Y Liu, J Li, X Tang - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
In the literature, most of the known high-rate MDS array codes with the optimal repair
property only support a single repair degree (ie, the number of helper nodes contacted …

Rack-aware minimum-storage regenerating codes with optimal access

J Wang, Z Chen - arXiv preprint arXiv:2304.08747, 2023 - arxiv.org
We derive a lower bound on the amount of information accessed to repair failed nodes
within a single rack from any number of helper racks in the rack-aware storage model that …

MDS array codes with (near) optimal repair bandwidth for all admissible repair degrees

J Li, Y Liu, X Tang, YS Han, B Bai… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Abundant high-rate minimum storage regenerating (MSR) codes have been reported in the
literature. However, most of them require contacting all the surviving nodes during a node …

New Storage Codes Between the MSR and MBR Points Through Block Designs

X Wang, Y Liao - IEEE Access, 2023 - ieeexplore.ieee.org
In distributed storage systems, data are stored across multiple storage nodes which are
unreliable and prone to failure. While erasure coding is more efficient than simple replication …

Constructions of Binary MDS Array Codes with Optimal Repair/Access Bandwidth

L Li, X Yu, L Chen, Y Dong… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Maximum distance separable (MDS) codes are commonly deployed in distributed storage
systems as they provide the maximum failure tolerance for some given redundancy. The …

MDS array codes with efficient repair and small sub-packetization level

L Li, X Yu, C Ying, L Chen, Y Dong, Y Luo - Designs, Codes and …, 2024 - Springer
Modern data centers use erasure codes to provide high storage efficiency and fault
tolerance. Reed–Solomon code is commonly deployed in large-scale distributed storage …

-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

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 …