Showing 2024Show all
3 papers · 1 filter
cs.IT2024
New record-breaking binary linear codes constructed from group codes
Cong Yu, Shixin Zhu, Hao Chen +2
In this paper, we employ group rings and automorphism groups of binary linear codes to construct new record-breaking binary linear codes. We consider the semidirect product of abel…
cs.IT2024
On general self-orthogonal matrix-product codes associated with Toeplitz matrices
Yang Li, Shixin Zhu, Edgar Martínez-Moro
In this paper, we present four constructions of {general} self-orthogonal matrix-product codes associated with Toeplitz matrices. The first one relies on the {dual} of a known {gen…
cs.IT2024
A family of linear codes that are either non-GRS MDS codes or NMDS codes
Yang Li, Zhonghua Sun, Shixin Zhu
Both maximum distance separable (MDS) codes that are not equivalent to generalized Reed-Solomon (GRS) codes (non-GRS MDS codes) and near MDS (NMDS) codes have nice applications in…