Wei Lu

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20212025

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9 papers · 1 filter

cs.IT2025

The minimum distance of the antiprimitive BCH code with designed distance 3

Haojie Xu, Xia Wu, Wei Lu +1

Let $C_{(q, q^{m} + 1, 3, h)}$ denote the antiprimitive BCH code with designed distance 3. In this paper, we demonstrate that the minimum distance $d$ 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 $F_{2^{s}}$ and two infinite families of almost MDS codes over $F_{p^{s}}$ for any prime $p$ , by invest…

cs.IT2023

Infinite families of MDS and almost MDS codes from BCH codes

Haojie Xu, Xia Wu, Wei Lu +1

In this paper, the sufficient and necessary condition for the minimum distance of the BCH codes over $F_{q}$ with length $q + 1$ and designed distance 3 to be 3 and 4 are prov…

cs.IT2023

Minimal Linear Codes Constructed from partial spreads

W. Lu, X. Wu, X. W. Cao +2

Partial spread is important in finite geometry and can be used to construct linear codes. From the results in (Designs, Codes and Cryptography 90:1-15, 2022) by Xia Li, Qin Yue and…

cs.IT2023

Minimal Linear Codes Constructed from hierarchical posets with two levels

X. Wu, W. Lu, X. P. Qin +1

J. Y. Hyun, et al. (Des. Codes Cryptogr., vol. 88, pp. 2475-2492, 2020) constructed some optimal and minimal binary linear codes generated by one or two order ideals in hierarchica…

cs.IT2023

A Proof of a Conjecture About a Class of Near Maximum Distance Separable Codes

Wei Lu, Xia Wu

In this paper, we completely determine the number of solutions to $Tr_{q}^{q^{2}} (b x + b) + c = 0, x \in μ_{q + 1} \ {- 1}$ for all $b\in \mathbb{F}_{q^2}, c\in\mathbb{…

cs.IT2022

Regular complete permutation polynomials over quadratic extension fields

Wei Lu, Xia Wu, Yufei Wang +1

Let $r \geq 3$ be any positive integer which is relatively prime to $p$ and $q^{2} \equiv 1 (mod r)$ . Let $τ_{1}, τ_{2}$ be any permutation polynomials over $F_{q^{2}},$ $σ_{M}$ is an…

cs.IT2022

A general construction of regular complete permutation polynomials

Wei Lu, Xia Wu, Yufei Wang +1

Let $r \geq 3$ be a positive integer and $F_{q}$ the finite field with $q$ elements. In this paper, we consider the $r$ -regular complete permutation property of maps with the…

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…