We generalize a construction of simple cyclic 3-designs due to Köhler (1981) to that of simple abelian 3-designs. We prove that for any abelian group A of order v ≡ 2 (mod 4), there exists a simple 3-(v, 4, 3) design with A ⋊ Aut (A) as an automorphism group.
- Automorphism group
- Difference family
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics