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+ …

A generic transformation for optimal repair bandwidth and rebuilding access in MDS codes

J Li, X Tang, C Tian - 2017 IEEE International Symposium on …, 2017 - ieeexplore.ieee.org
We propose a generic transformation on maximum distance separable (MDS) codes, which
can convert any non-binary (k+ r, k) MDS code into another (k+ r, k) MDS code with the …

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 …

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 note on the transformation to enable optimal repair in MDS codes for distributed storage systems

J Li, X Tang - arXiv, 2019 - dml.mathdoc.fr
For high-rate maximum distance separable (MDS) codes, most early constructions can only
optimally repair all the systematic nodes but not for all the parity nodes initially. Fortunately …

Toward optimality in both repair and update via generic MDS code transformation

H Hou, PPC Lee, YS Han - 2020 IEEE International …, 2020 - ieeexplore.ieee.org
An (n, k) maximum distance separable (MDS) code encodes kα data symbols into nα
symbols that are stored in n nodes with α symbols each, such that the kα data symbols can …

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 …

New constructions of MDS codes with asymptotically optimal repair

A Chowdhury, A Vardy - 2018 IEEE International Symposium …, 2018 - ieeexplore.ieee.org
An (n, k, l) MDS code of length n, dimension k, and sub-packetization l over a finite field F is
a set of n column vectors of length l over F with the property that any k vectors can recover …

An alternative generic transformation for optimal repair bandwidth and rebuilding access in MDS codes

J Li, X Tang, C Tian - 2018 IEEE International Symposium on …, 2018 - ieeexplore.ieee.org
In last ISIT, we reported a generic transformation on maximum distance separable (MDS)
codes, which can convert any non-binary (k+ r, k) MDS code into another (k+ r, k) MDS code …

Triple-fault-tolerant binary MDS array codes with asymptotically optimal repair

H Hou, PPC Lee, YS Han, Y Hu - 2017 IEEE International …, 2017 - ieeexplore.ieee.org
Binary maximum distance separable (MDS) array codes are a special class of erasure
codes for distributed storage that not only provide fault tolerance with minimum storage …