## On generalized Howell designs with block size three

- R. Julian R. Abel, Robert F. Bailey, Andrea C. Burgess, Peter Danziger, Eric Mendelsohn
- Des. Codes Cryptography
- 2016

- Published 2015 in Discrete Mathematics
DOI:10.1016/j.disc.2015.05.008

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

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