Hanlin Zou

activity

20242026

collaborators

6 papers

math.CO2026

On the maximum size of $(a, b)$ -town (mod $k$ ) families

Hanlin Zou

For integers $n \geq k \geq 2$ and $0 \leq a, b \leq k - 1$ , let $m_{k, n} (a, b)$ denote the maximum size of an $(a, b)$ -town (mod $k$ ) family of an $n$ -element set, a collection of subs…

math.CO2026

2-Geodesic-transitive graphs of order twice a prime power

Jiangmin Pan, Cixuan Wu, Yingnan Zhang +1

In this paper, we study 2-geodesic-transitive graphs of order twice an odd prime power. Classifications of corresponding basic graphs and such graphs with almost simple automorphis…

cs.IT2026

Counterexamples, Constructions, and Nonexistence Results for Optimal Ternary Cyclic Codes

Jingjun Bao, Hanlin Zou

Cyclic codes are an important subclass of linear codes with wide applications in communication systems and data storage systems. In 2013, Ding and Helleseth presented nine open pro…

math.CO2025

The complete classification of triply-transitive strongly regular graphs

Weicong Li, Hanlin Zou

This paper completes the classification of triply-transitive strongly regular graphs, a program recently initiated by Herman, Maleki, and Razafimahatratra. By proving that the coll…

math.GR2024

A complete classification of solvable factors of almost simple groups

Tao Feng, Cai Heng Li, Conghui Li +3

We give an explicit characterization of solvable factors in factorizations of finite classical groups of Lie type. This completes the classification of solvable factors in factoriz…

math.CO2024

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle $PSU (3, q)$ , $q \geq 3$

Jianbing Lu, Yingnan Zhang, Hanlin Zou

A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions. It is known that an automorphism gro…

On the maximum size of (a,b)-town (mod k) families