\(3\)-Designs and Large Sets of \(PSL(2,2^n)\) with Block Sizes \(6\)

G.R. Omidi1
1Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran

Abstract

We investigate the existence of \(3\)-designs and uniform large sets of \(3\)-designs with block size \(6\) admitting \(\text{PSL}(2, 2^n)\) as an automorphism group.