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…
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…
The asymptotic estimation for two classes of generalized Fibonacci sub-sequences
Yongkang Wan, Zhonghao Liang, Qunying Liao
Since the sequence has good properties, it's important in theory and applications, such as in combinatorics, cryptography, and so on. In this paper, for the ge…
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,…
The inverse of the (alternating) infinite sum of the reciprocal of the weighted sum for generalized Fibonacci sub-sequences
Yongkang Wan, Zhonghao Liang, Qunying Liao
In this paper, for the generalized Fibonacci sequence , by using elementary methods and techniques, we give the asymptotic estimation values…
The extended code for a class of generalized Roth-Lempel codes and their properties
Zhonghao Liang, Qunying Liao
As we all know, many interesting and important codes are obtained by modifying or combining existing codes. In this paper, we focus on generalized Roth-Lempel (in short, GRL) codes…
Two classes of NMDS codes from Roth-Lempel codes
Zhonghao Liang, Qunying Liao
Since near maximum distance separable (NMDS) codes have good algebraic properties and excellent error-correcting capabilities, they have been widely used in various fields such as…
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…