On a class of twin balanced incomplete block designs
A two-parameter family of 2-(4n2, n(2n -1), m(n-1)) designs are constricted 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 Bus-type described in . 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 design can be expanded to infinitely many new designs by using known balanced generalized weighing matrices.
Codes and Designs
On a class of twin balanced incomplete block designs.
Codes and Designs, 157-164.
Retrieved from: https://digitalcommons.mtu.edu/math-fp/132
Copyright 2002 Walter de Gruyter. Publisher’s version of record: https://doi.org/10.1515/9783110198119.157