Huawei Wu

activity

20232026

collaborators

8 papers

cs.CC2026

Norm-Query Complexity of Algorithmic Problems in Finite-Dimensional p-adic Normed Spaces

Zhefan Duan, Huawei Wu

We study the deterministic norm-query complexity of computational problems in finite-dimensional vector spaces over $Q_{p}$ equipped with an arbitrary ultrametric norm. For…

cs.IT2026

Optimal Repair Bandwidth and Repair I/O of $(n, n - 2, 2)$ MDS Array Codes

Huawei Wu

We give a complete determination of the exact optimal worst-case repair bandwidth and repair I/O for linear exact repair of $(n, n - 2, 2)$ MDS array codes over every finite field $\ma…

cs.IT2026

The Incidence-Multiplicity Bound for Linear Exact Repair in MDS Array Codes

Huawei Wu

We study linear exact repair for $(n, k, ℓ)$ MDS array codes over $F_{q}$ , with redundancy $r = n - k$ , in the regime where $q$ , $r$ , and $ℓ$ are fixed and the code length $…

cs.IT2026

Linear Exact Repair in MDS Array Codes: A General Lower Bound and Its Attainability

Hai Liu, Huawei Wu

For an $(n, k, ℓ)$ MDS array code over $F_{q}$ , how small can the repair bandwidth and repair I/O be under linear exact repair? We study this question in the regime where t…

math.CO2026

3-Designs from $GL_{2} (F_{q})$ -Invariant Subspaces of $F_{q} [X, Y]_{k}$

Lewen Wang, Huawei Wu, Sihuang Hu

We present a uniform framework for constructing $3$ -designs from $GL_{2} (F_{q})$ -invariant subspaces of $F_{q} [X, Y]_{k}$ , the space of homogeneous polynomials of d…

math.NT2024

The Differential and Boomerang Properties of a Class of Binomials

Sihem Mesnager, Huawei Wu

Let $q$ be an odd prime power with $q \equiv 3 (mod 4)$ . In this paper, we study the differential and boomerang properties of the function $F_{2, u} (x) = x^{2} (1 + u η (x))$ …

cs.CR2024

An in-depth study of the power function $x^{q + 2}$ over the finite field $F_{q^{2}}$ : the differential, boomerang, and Walsh spectra, with an application to coding theory

Sihem Mesnager, Huawei Wu

Let $q = p^{m}$ , where $p$ is an odd prime number and $m$ is a positive integer. In this paper, we examine the finite field $F_{q^{2}}$ , which consists of $q^{2}$ elements. We f…

cs.IT2023

DNA-Correcting Codes in DNA Storage Systems

Huawei Wu

In [1], the authors proposed a new model of DNA storage system that integrates all three steps of retrieval and introduced the concept of DNA-correcting codes, which guarantees tha…

Norm-Query Complexity of Algorithmic Problems in Finite-Dimensional p-adic Normed Spaces

Optimal Repair Bandwidth and Repair I/O of (n,n−2,2) MDS Array Codes

The Incidence-Multiplicity Bound for Linear Exact Repair in MDS Array Codes

Linear Exact Repair in MDS Array Codes: A General Lower Bound and Its Attainability

3-Designs from GL2​(Fq​)-Invariant Subspaces of Fq​[X,Y]k​

The Differential and Boomerang Properties of a Class of Binomials

An in-depth study of the power function xq+2 over the finite field Fq2​: the differential, boomerang, and Walsh spectra, with an application to coding theory

DNA-Correcting Codes in DNA Storage Systems

Optimal Repair Bandwidth and Repair I/O of $(n, n - 2, 2)$ MDS Array Codes

3-Designs from $GL_{2} (F_{q})$ -Invariant Subspaces of $F_{q} [X, Y]_{k}$

An in-depth study of the power function $x^{q + 2}$ over the finite field $F_{q^{2}}$ : the differential, boomerang, and Walsh spectra, with an application to coding theory