A recursive construction for new symmetric designs
We introduce a recursive construction of regular Handamard matrices with row sum 2h for h = +/- 3(n). Whenever q = (2h - 1)(2) is a prime power, we construct, for every positive integer m, a symmetric designs with parameters (4h(2)(q(m+1) - 1)/(q - 1), (2h(2) - h) q(m), (h(2) - h) q(m)).
symmetric design regular hadamard matrix balanced generalized weighing matrix