1.Department of Mathematics and Computer Science,University of Lethbridge,Lethbridge,Canada;2.Department of Mathematics Education,Aichi University of Education,Kariya,Japan
Abstract:
We introduce the concept of linked systems of symmetric group divisible designs. The connection with association schemes is established, and as a consequence we obtain an upper bound on the number of symmetric group divisible designs which are linked. Several examples of linked systems of symmetric group divisible designs are provided.