Hanlin Zou

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20242026

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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…

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

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

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

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