11 papers
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…
The equivalent condition for GRL codes to be MDS, AMDS or self-dual
Zhonghao Liang, Yongkang Wan, Qunying Liao
It's well known that MDS, AMDS or self dual codes have good algebraic properties, and are applied in communication systems, data storage, quantum codes, and so on. In this paper, w…
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…