\((27,13,6)\) Designs with an Automorphism of Order \(3\)

Kirsten Mackenzie-Fleming 1, Ken W. Smith 1
1Central Michigan University Mt. Pleasant, MI 48859

Abstract

In this paper, we construct all symmetric \(27, 13, 6\) designs with a fixed-point-free automorphism of order \(3\). There are \(22\) such designs.