Optimal repair/access MDS array codes with multiple repair degrees

Y Liu, J Li, XH Tang - arXiv preprint arXiv:2205.13446, 2022 - arxiv.org
In the literature, most of the known high-rate $(n, k) $ MDS array codes with the optimal
repair property only support a single repair degree (ie, the number of helper 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 …

A generic transformation to generate MDS array codes with δ-optimal access property

Y Liu, J Li, X Tang - IEEE Transactions on Communications, 2021 - ieeexplore.ieee.org
Recently, some high-rate maximum distance separable (MDS) array codes were designed
to optimally repair a single failed node by connecting all the surviving nodes. However, in …

Binary MDS array codes with asymptotically optimal repair for all columns

H Hou, YS Han, PPC Lee - 2019 28th International Conference …, 2019 - ieeexplore.ieee.org
An mx (k+ r) binary maximum distance separable (MDS) array code contains k information
columns and r parity columns with each entry being a bit such that any k out of k+ r columns …

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 …

MDS Array Codes With Small Sub-packetization Levels and Small Repair Degrees

J Li, Y Liu, X Tang, YS Han, B Bai, G Zhang - arXiv preprint arXiv …, 2023 - arxiv.org
High-rate minimum storage regenerating (MSR) codes are known to require a large sub-
packetization level, which can make meta-data management difficult and hinder …

Multi-layer transformed MDS codes with optimal repair access and low sub-packetization

H Hou, PPC Lee, YS Han - arXiv preprint arXiv:1907.08938, 2019 - arxiv.org
An $(n, k) $ maximum distance separable (MDS) code has optimal repair access if the
minimum number of symbols accessed from $ d $ surviving nodes is achieved, where $ k+ …

Two classes of binary MDS array codes with asymptotically optimal repair for any single column

H Hou, YS Han, PPC Lee - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
An mx (k+ r) binary maximum distance separable (MDS) array code contains k information
columns and r parity columns with each entry being a bit, where any k out of k+ r columns …

Towards efficient repair and coding of binary MDS array codes with small sub-packetization

H Hou, YS Han, B Bai, G Zhang - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
Large-scale high code-rate maximum distance separable (MDS) codes are critical and
important in distributed storage systems that can provide high fault tolerance with extremely …

A Family of Access-Friendly MDS Array Codes

Z Liu, Z Zhang - 2024 IEEE International Symposium on …, 2024 - ieeexplore.ieee.org
Efficient node repair is a crucial problem in erasure-code-based distributed storage systems.
An important metric for repair efficiency is the I/O cost which means the amount of data …