From the perspective of parity-check matrices, we present new constructions of-ary
maximum distance separable (MDS) array codes with multiple parities. Applying these …

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 …

In this short paper, we will provide a new explicit construction of binary MDS array codes
with triple parities from their parity-check matrices, which contains array codes with array …

MDS array codes have been extensively studied due to their applications in storage
systems. In this paper, we first propose a novel method of constructing MDS array codes by …

This paper proposes to construct binary array codes from non-binary codes by binary matrix
dispersion. Thanks to their low-density and quasi-cyclic (QC) generator matrices, the …

Inspired by the algebraic framework of vector linear network coding, we advocate in this
paper to characterize an L-dimensional (n, k) array code by ak× n block generator matrix in …

In 2022,[1] proposed a new construction for binary array codes with three parity columns,
which can deduce some types of maximum distance separable (MDS) array codes. It was …