Some new resolvable GDDs with k=4 and doubly resolvable GDDs with k=3

A doubly resolvable packing design with block size k, index λ, replication number r , and v elements is called a generalized Kirkman square and denoted by GKSk(v; 1, λ; r). Existence of GKS3(4u; 1, 1; 2(u−1))s and GKS3(6u; 1, 1; 3(u−1))s is implied by existence of doubly resolvable group divisible designswith block size 3, index 1, and types 4u and 6u (i.e… CONTINUE READING