3 papers
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…