Simple $3$-designs of $\mathrm{PSL}(2,2^n)$ with block size $13$

Takara Kondo, Yuto Nogata

This paper investigates simple $3$-$(2^n+1,13,\lambda )$ designs admitting $\mathrm{PSL}$$(2,2^n)$ as an automorphism group. We determine all possible values of $\lambda$ by systematically anal…