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Generalized Hadamard matrices and colourable designs in the construction of regular GDDs with two and three association classes. (English) Zbl 0604.05006

The construction of GDD and BIBD sets, using generalized (group) Hadamard matrices and the so called colourable BIBD or PBIBD sets is concerned in this paper. The suggested methods are based on the construction of matrices \(A_ i\), satisfying the following condition: \(A_ iA^ T_ j=hJ\), \(i\neq j\), \(h>1\), where J is the matrix of order h and consists of ones. The table of the constructed new sets of described types is given.
Reviewer: S.S.Agayan

MSC:

05B05 Combinatorial aspects of block designs
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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