论文标题
关于两个$ 2 $ designs的家族的注释来自铃木山脉的卵形
A note on two families of $2$-designs arose from Suzuki-Tits ovoid
论文作者
论文摘要
在本说明中，我们提供了一个$ 2 $ - 设计的家族之一的精确构造，这是由于研究国旗传输$ 2 $ - 戴斯的$（v，k，λ）$，其复制数量$ r $ coprime coprime coprime to $λ$。我们表明，对于给定的正整数$ q = 2^{2n+1} \ geq 8 $，存在一个$ 2 $ -DESIGN，带有参数$（q^{2}+1，q，q-1）$和复制号$ q^{2} $ nuct suzuki $ \ textSsf {q aut as as as aut at（q）我们还用参数构建了一个由$ 2 $ -DESIGNS组成的家庭，$（q^{2}+1，q（q-1），（q-1）（q^{2} -q-1））$和复制号$ q^{2}（q-1）$ contingsukuki组$ suzuki组$ \\ textsf {sz（q）
In this note, we give a precise construction of one of the families of $2$-designs arose from studying flag-transitive $2$-designs with parameters $(v,k,λ)$ whose replication numbers $r$ are coprime to $λ$. We show that for a given positive integer $q=2^{2n+1}\geq 8$, there exists a $2$-design with parameters $(q^{2}+1,q,q-1)$ and the replication number $q^{2}$ admitting the Suzuki group $\textsf{Sz(q)}$ as its automorphism group. We also construct a family of $2$-designs with parameters $(q^{2}+1,q(q-1),(q-1)(q^{2}-q-1))$ and the replication number $q^{2}(q-1)$ admitting the Suzuki groups $\textsf{Sz(q)}$ as their automorphism groups.
