(1) Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, CANADA, N2L 3G1;(2) Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, U.S.A, 49931–1295
Abstract:
Several new constructions for difference matrices are given. One classof constructions uses pairwise balanced designs to develop newdifference matrices over the additive group of GF (q). A second class of constructions gives difference matrices overgroups whose orders are not (necessarily) prime powers.