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| Paper IPM / M / 2310 |
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| Abstract: | |||||
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A two-parameter family of 2-(4n2,n(2n−1),m(n−1)) designs are
constructed starting from a certain block matrix with 2n by 2m
sub-matrices, and a balanced generalized weighing matrix over an
appropriate cyclic group. The special case n=m corresponds to a
construction of symmetric 2-designs from Hadamard matrices of Bush
type described in [10]. If 2m and 2n are the orders of
Hadamard matrices, the construction yields Hadamard matrices of
Bush type. Furthermore, if either 2n−1 or 2n+1 is a prime
power, the designs can be expanded to infinitely many new designs
by using known balanced generalized weighing matrices.
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