7 papers
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…