3-Designs with block size 6 from PSL(2, q) and their large sets

We investigate the existence of 3-designs and uniform large sets of 3-designs with block size 6 admitting PSL(2, q) as an automorphism group. We show the existence of simple 3-(28, 6, 10m) designs for 1 ≤ m ≤ 230. Most of these designs were previously unknown.

• Type: Journal
• Year: 2007
• Where: DM
• Authors: G. R. Omidi, M. R. Pournaki, Behruz Tayfeh-Rezaie
• Keywords: Automorphism Group, Block Size, DM 2007, Large Sets