Dongchun Han

activity

20172026

most citedErdős-Ginzburg-Ziv theorem and Noether number for

C_{m} ⋉_{φ} C_{mn}

25 citations · 26 across the 12 of their papers we have counts for

collaborators

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12 papers · 1 filter

math.CO2026

Davenport Constants of Finite Abelian Groups

Dongchun Han, Hanbin Zhang

A central problem in zero-sum theory is to determine the Davenport constant of a finite abelian group. For a finite abelian group $G ≅ C_{n_{1}} \oplus \dots \oplus C_{n_{r}}$ , with $…

math.CO2026

How iterated sumsets grow under the assumption of small doubling

Dongchun Han, Qinghai Zhong

Let $K > 1$ be a real number and let $A ⊊ Z$ be a finite and nonempty subset. Suppose $∣ A + A ∣ < K ∣ A ∣$ . A fundamental open problem is to characterize the size of higher i…

math.CO2026

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

Dongchun Han, Xuan Wang, Hanbin Zhang +1

Let $G$ be a finite abelian group of order $n$ , and let $M (G, m)$ denote the set of zero-sum sequences over $G$ of length $m$ . We introduce the zero-sum polytope $\mathcal P…

math.CO2025

A Generic Construction of $q$ -ary Near-MDS Codes Supporting 2-Designs with Lengths Beyond $q + 1$

Hengfeng Liu, Chunming Tang, Zhengchun Zhou +2

A linear code with parameters $[n, k, n - k + 1]$ is called maximum distance separable (MDS), and one with parameters $[n, k, n - k]$ is called almost MDS (AMDS). A code is near-MD…

math.CO2023★ 1 cited

New constructions of NMDS self-dual codes

Dongchun Han, Hanbin Zhang

Near maximum distance separable (NMDS) codes are important in finite geometry and coding theory. Self-dual codes are closely related to combinatorics, lattice theory, and have impo…

math.CO2022

A reciprocity on finite abelian groups involving zero-sum sequences II

Mao-Sheng Li, Hanbin Zhang

Let $G$ be a finite abelian group. For any positive integers $d$ and $m$ , let $φ_{G} (d)$ be the number of elements in $G$ of order $d$ and $M (G, m)$ be the set of all zero-sum…

math.CO2019

An improved asymptotic formula for the distribution of irreducible polynomials in arithmetic progressions over Fq

Zhang Zihan, Han Dongchun

Let $F_{q}$ be a finite field with $q$ elements and $F_{q} [x]$ the ring of polynomials over $F_{q}$ . Let $l (x), k (x)$ be coprime polynomials in $\mathbb{…

math.CO2019

A reciprocity on finite abelian groups involving zero-sum sequences

Dongchun Han, Hanbin Zhang

In this paper, we present a reciprocity on finite abelian groups involving zero-sum sequences. Let $G$ and $H$ be finite abelian groups with $(∣ G ∣, ∣ H ∣) = 1$ . For any positive integer…

math.CO2019

On an open problem about a class of optimal ternary cyclic codes

Dongchun Han, Haode Yan

Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems and communication systems as they have efficient encoding and decodi…

math.CO2018

On generalized Erdős-Ginzburg-Ziv constants of $C_{n}^{r}$

Dongchun Han, Hanbin Zhang

Let $G$ be an additive finite abelian group with exponent $exp (G) = m$ . For any positive integer $k$ , the $k$ -th generalized Erdős-Ginzburg-Ziv constant $s_{k m} (G)$ is defin…

math.CO2018

On Davenport constant of finite abelian groups

Dongchun Han

$G$ be an additive finite abelian group. The Davenport constant $D (G)$ is the smallest integer $t$ such that every sequence (multiset) $S$ over $G$ of length $∣ S ∣ \geq t$ has…

math.CO2017★ 25 cited

Erdős-Ginzburg-Ziv theorem and Noether number for $C_{m} ⋉_{φ} C_{mn}$

Dongchun Han, Hanbin Zhang

Let $G$ be a multiplicative finite group and $S = a_{1} \cdot \dots \cdot a_{k}$ a sequence over $G$ . We call $S$ a product-one sequence if $1 = \prod_{i = 1}^{k} a_{τ (i)}$ holds for some permuta…

Davenport Constants of Finite Abelian Groups

How iterated sumsets grow under the assumption of small doubling

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

A Generic Construction of q-ary Near-MDS Codes Supporting 2-Designs with Lengths Beyond q+1

New constructions of NMDS self-dual codes

A reciprocity on finite abelian groups involving zero-sum sequences II

An improved asymptotic formula for the distribution of irreducible polynomials in arithmetic progressions over Fq

A reciprocity on finite abelian groups involving zero-sum sequences

On an open problem about a class of optimal ternary cyclic codes

On generalized Erdős-Ginzburg-Ziv constants of Cnr​

On Davenport constant of finite abelian groups

Erdős-Ginzburg-Ziv theorem and Noether number for Cm​⋉φ​Cmn​

A Generic Construction of $q$ -ary Near-MDS Codes Supporting 2-Designs with Lengths Beyond $q + 1$

On generalized Erdős-Ginzburg-Ziv constants of $C_{n}^{r}$

Erdős-Ginzburg-Ziv theorem and Noether number for $C_{m} ⋉_{φ} C_{mn}$