Concerning Difference Matrices

Authors:
Charles J. Colbourn;Donald L. Kreher
Affiliations:
Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, CANADA N2L 3G1;Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, U.S.A. 49931–1295
Venue:
Designs, Codes and Cryptography - Special issue containing papers presented at the Second Upper Michigan Combinatorics Workshop on Designs, Codes and Geometries
Year:
1996

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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.