Variant Codes Based on A Special Polynomial Ring and Their Fast Computations

L Yu, YS Han, J Yuan, Z Zhang - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Binary array codes are widely used in storage systems to prevent data loss, such as the
Redundant Array of Independent Disks (RAID). Most designs for such codes, such as Blaum …

New Systematic MDS Array Codes With two Parities

L Ma, L Zhou, S Liu, X Chen… - IEEE Open Journal of the …, 2024 - ieeexplore.ieee.org
Row-diagonal parity (RDP) code is a classical systematic maximum distance separable
(MDS) array code with under sub-packetization level, where L is a prime integer. When, its …

Circular-shift-based Vector Linear Network Coding and Its Application to Array Codes

S Jin, Z Zhai, QT Sun, Z Li - arXiv preprint arXiv:2412.17067, 2024 - arxiv.org
Circular-shift linear network coding (LNC) is a class of vector LNC with local encoding
kernels selected from cyclic permutation matrices, so that it has low coding complexities …

An Explicit Construction of MDS Array Codes and Their Efficient Decoding

J Lv, W Fang, ST Xia, H Hou - 2024 IEEE International …, 2024 - ieeexplore.ieee.org
In this short work, a new explicit construction of q-ary MDS array codes with multiple parities
will be provided, whose code lengths can be up to q^m-1, where m-1 is the size of …

Triple-Parity Vertical Array Codes with Optimal Update Bandwidth and Fast Encoding/Decoding Performance

H Wu, J Lv, X Lian, H Hou - 2024 IEEE International …, 2024 - ieeexplore.ieee.org
It is well-known that erasure codes have been widely applied in the distributed storage
systems (DSSs). This paper concentrates on the update bandwidth of erasure codes, which …