engleski

On some new resolvable 1-rotational (45, 5, 2)- BIBDs

In this paper we classify 1-rotational (45, 5, 2)-BIBDs having an automorphism group isomorphic to Z44 acting on the set of blocks with the orbit lenghts distribution (11, 11, 44, 44, 44, 44). New (45, 5, 2)-BIBDs are constructed. Among the constructed designs there are exactly 22 resolvable (45, 5, 2)- BIBDs. Until now, only one resolvable (45, 5, 2)-BIBD was known. The smallest parameter set for which the existence question of a resolvable BIBD is still open is (45, 5, 1).

1-rotational BIBD ; resolvable BIBD ; automorphism group ; orbit matrix

nije evidentirano