(C-k circle plus G, K, lambda) difference families
Let G be an additive group and C-k be the additive group of the ring Z(k) of residues modulo k. If there exist a (G, k, lambda) difference family and a (G, k, lambda) perfect Mendelsohn difference family, then there also exists a (C-k + G, k, lambda) difference family. If the (G, k, lambda) difference family and the (G, k, lambda) perfect Mendelsohn difference family are further compatible, then the resultant (C-k + G, k, lambda) difference family is elementary resolvable. By first constructing several series of perfect Mendelsohn difference families, many (C-k + G, k, lambda) difference families and elementary resolvable (C-k + G, k, lambda) difference families are thus obtained.
difference family resolvable block design perfect mendelsohn design