Publication Details

Eades, P and Seberry, J, An infinite family of skew weighing matrices, Combinatorial Mathematics IV, Lecture Notes in Mathematics, 560, 1976, 27-40.


We verify the skew weighing matrix conjecture for orders 2t.7, t ~ 3 a positive integer, by showing that orthogonal (1, k) exist for all t k = 0, 1, .... , 2.7 - 1 in order 2t.7 We discuss the construction of orthogonal designs using circulant matrices. In particular we construct designs in orders 20 and 28. The weighing matrix conjecture is verified for order 60.