Flag-Transitive Symmetric $(v,k,\lambda )$ Designs Admitting Primitive Automorphism Groups with Socle PSL$(2,11)$

Abstract

In this paper, we obtained two flag-transitive symmetric $(v,k,\lambda )$ designs admitting primitive automorphism groups of almost simple type with socle $X=\mathrm{P}\mathrm{S}\mathrm{L}(12,2)$.