4 papers
cs.IT2025
The minimum distance of the antiprimitive BCH code with designed distance 3
Haojie Xu, Xia Wu, Wei Lu +1
Let denote the antiprimitive BCH code with designed distance 3. In this paper, we demonstrate that the minimum distance of $\mathcal{C}_{(q,q^m+1,…
cs.IT2024
The dual codes of two families of BCH codes
Haojie Xu, Xia Wu, Wei Lu +1
In this paper, we present an infinite family of MDS codes over and two infinite families of almost MDS codes over for any prime , by invest…
math.RA2022
Galois Groups of Linear Difference-Differential Equations
Ruyong Feng, Wei Lu
We study the relation between the Galois group of a linear difference-differential system and two classes and of groups that are the Galois grou…
cs.IT2021
A new method for constructing linear codes with small hulls
Liqin Qian, Xiwang Cao, Wei Lu +1
The hull of a linear code over finite fields is the intersection of the code and its dual, which was introduced by Assmus and Key. In this paper, we develop a method to construct l…