Haihua Deng

activity

20232026

most citedThe BCH Family of Storage Codes on Triangle-Free Graphs is of Unit Rate

2 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

math.CO2026

A proof of Ward's conjecture on Griesmer codes

Haihua Deng, Weiye Zhang

Let $C$ be an $[n, k, d]_{q}$ Griesmer code, where $q = p^{f}$ with $p$ prime, and write $e = ν_{p} (d)$ . Ward conjectured that $C$ is $p^{m a x {0, e - f + 1}}$ -divisible. In this paper, we prove t…

math.CO2026

The generalized Griesmer and antiGriesmer bounds

Haihua Deng

We present three proofs of the generalized Griesmer bound together with the corresponding proofs of the generalized antiGriesmer bound. The first proof follows from inequalities re…

math.CO2026

Divisibility of Trace Codes

Hexiang Huang, Haihua Deng, Sihuang Hu

A linear code is said to be $Δ$ -divisible if the Hamming weights of all its codewords are divisible by $Δ$ . The $p$ -adic valuation of a code is defined as the greatest integer $t$ …

math.CO2025

Divisibility of Griesmer Codes

Haihua Deng, Hexiang Huang, Qing Xiang

In this paper, we consider Griesmer codes, namely those linear codes meeting the Griesmer bound. Let $C$ be an $[n, k, d]_{q}$ Griesmer code with $q = p^{f}$ , where $p$ is a prime and $f\g…

cs.IT2023★ 2 cited

The BCH Family of Storage Codes on Triangle-Free Graphs is of Unit Rate

Haihua Deng, Hexiang Huang, Guobiao Weng +1

Let $Γ$ be a simple connected graph on $n$ vertices, and let $C$ be a code of length $n$ whose coordinates are indexed by the vertices of $Γ$ . We say that $C$ is a \textit{storage…