9 papers · 1 filter
Four classes of few-weight self-orthogonal codes and their applications for LCD codes and quantum codes
Yue Huang, Zhonghao Liang, Chenlu Jia +2
Since self-orthogonal codes, few-weight codes, linear complementary dual codes(LCD codes, for short) and quantum codes have nice applications in coding theory and cryptography, the…
The Hermitian Hull Dimensions for a Class of (L,P)-Twisted Generalized Reed-Solomon Codes
Chenlu Jia, Zhonghao Liang, Yue Huang +1
Determining the hull of linear codes has long been an important topic in coding theory. Recently, non-generalized Reed-Solomon (in short, non-GRS) codes have attracted extensive re…
The MDS or NMDS for Modified GRS codes with flexible hull dimensions and lengths
Zhonghao Liang, Qunying Liao, Jun Zhang +1
Non-generalized Reed-Solomon (in short, non-GRS) type maximum distance separable (in short, MDS), near MDS (in short, NMDS), and linear complementary dual (in short, LCD) codes, as…
Non-GRS type Euclidean and Hermitian LCD codes and Their Applications for EAQECCs
Zhonghao Liang, Dongmei Huang, Qunying Liao +2
In recent years, the construction of non-GRS type linear codes has attracted considerable attention due to that they can effectively resist both the Sidelnikov-Shestakov attack and…
Multi-Twisted Generalized Reed-Solomon Codes: Structure, Properties, and Constructions
Zhonghao Liang, Chenlu Jia, Dongmei Huang +2
Maximum distance separable (in short, MDS), near MDS (in short, NMDS), and self-orthogonal codes play a pivotal role in algebraic coding theory, particularly in applications such a…
Four classes of LCD codes from (*)-(L,P)-twisted generalized Reed-Solomon codes
Zhonghao Liang, Qunying Liao
It's well-known that maximum distance separable codes (in short, MDS) and linear complementary dual (in short, LCD) codes are very important in coding theory and practice. In 2023,…