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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 -ary Singleton-optimal locally repairable codes (LRCs) with minimum distance and locality , based on combinatorial stru…