A note on two families of \(2\)-designs arose from Suzuki-Tits ovoid

• Date: 2023
• Main Author: Alavi, S. H.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: Suzuki group; Suzuki-Tits ovoid; \(2\)-design; automorphism group; 05B05; 05B25; 20B25; 20D05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1687
• Journal Title: Algebra and Discrete Mathematics

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 \((v,k,\lambda)\) whose replication numbers \(r\) are coprime to \(\lambda\). We show that for a given positive integer \(q=2^{2n+1}\geq 8\), there...