Jianbing Lu

activity

20242026

collaborators

5 papers

math.CO2026

Generalized quadrangles with a point-primitive and line-primitive automorphism group with socle $\PSp_4(q)$

Meizi Ou, Jianbing Lu

Let $\mc{S}$ be a finite thick generalized quadrangle, and let $G\leq \Aut(\mc{S})$ act primitively on both points and lines. Building on the almost simple reduction for point-prim…

cs.IT2026

The constructions of Singleton-optimal locally repairable codes with minimum distance 6 and locality 3

Yanzhen Xiong, Jianbing Lu

In this paper, we present new constructions of $q$ -ary Singleton-optimal locally repairable codes (LRCs) with minimum distance $d = 6$ and locality $r = 3$ , based on combinatorial stru…

math.CO2025

Flag-transitive $2$ - $(v, k, I^»)$ designs with $I^» \geq (r, I^»)^{2}$

Junchi Zhang, Jianbing Lu, Meizi Ou

This paper is devoted to the study of $2$ -designs with $I^» \geq (r, I^»)^{2}$ admitting a flag-transitive automorphism group $G$ . The group $G$ has been shown to be point-primitive of ei…

math.CO2025

Flag-transitive point-primitive quasi-symmetric $2$ -designs and exceptional groups of Lie type

Jianbing Lu

Let $D$ be a non-trivial quasi-symmetric $2$ -design with two block intersection numbers $x = 0$ and $2 \leq y \leq 10$ , and suppose that $G$ is an automorphism group of $\math…

math.CO2024

Flag-transitive point-primitive quasi-symmetric $2$ -designs with block intersection numbers $0$ and $y \leq 10$

Jianbing Lu, Yu Zhuang

In this paper, we show that for a non-trivial quasi-symmetric $2$ -design $D$ with two block intersection numbers $x = 0$ and $2 \leq y \leq 10$ , if $G\leq \mathrm{Aut}(\mathca…

Generalized quadrangles with a point-primitive and line-primitive automorphism group with socle $\PSp_4(q)$

The constructions of Singleton-optimal locally repairable codes with minimum distance 6 and locality 3

Flag-transitive 2-(v,k,I^») designs with I^»≥(r,I^»)2

Flag-transitive point-primitive quasi-symmetric 2-designs and exceptional groups of Lie type

Flag-transitive point-primitive quasi-symmetric 2-designs with block intersection numbers 0 and y≤10

Flag-transitive $2$ - $(v, k, I^»)$ designs with $I^» \geq (r, I^»)^{2}$

Flag-transitive point-primitive quasi-symmetric $2$ -designs and exceptional groups of Lie type

Flag-transitive point-primitive quasi-symmetric $2$ -designs with block intersection numbers $0$ and $y \leq 10$