Abstract
D-optimal designs of order n = 2v ≡ 2 (mod 4), where q is a prime power and v = q2 + q + 1 are constructed using two methods, one with supplementary difference sets and the other using projective planes more directly.
An infinite family of Hadamard matrices of order n = 4v with maximum excess
(n) = n√n - 3 where q is a prime power and v = q2 + q + 1 is a prime, is also constructed.
Publication Details
Christos Koukouvinos, Stratis Kounias, and Jennifer Seberry, Supplementary difference sets and optimal designs, Discrete Mathematics, 87, (1991), 49-58.