Bocong Chen

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math.CO2026

Critical Numbers for Restricted Sumsets: Rigidity and Collapse in Finite Abelian Groups

Bocong Chen, Jing Huang

This paper establishes a classification of the critical numbers for restricted sumsets in finite abelian groups, determining them exactly for even-order groups and bounding them fo…

math.CO2025

Regular Cyclic $(q + 1)$ -Arcs in $\PG(3,2^m)$: Spectral Rigidity, Descent, and an MDS Criterion

Bocong Chen, Jing Huang, Hao Wu

Let $q = 2^{m}$ with $m \geq 3$ and set $n := q + 1$ . We investigate $(q + 1)$ -arcs $A \subset PG (3, q)$ that admit a regular cyclic subgroup $C \leq PGL (4, q)$ of order…

Critical Numbers for Restricted Sumsets: Rigidity and Collapse in Finite Abelian Groups

Regular Cyclic (q+1)-Arcs in $\PG(3,2^m)$: Spectral Rigidity, Descent, and an MDS Criterion

Regular Cyclic $(q + 1)$ -Arcs in $\PG(3,2^m)$: Spectral Rigidity, Descent, and an MDS Criterion