An infinite family of skew weighing matrices
نویسندگان
چکیده
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. Disciplines Physical Sciences and Mathematics 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. This journal article is available at Research Online: http://ro.uow.edu.au/infopapers/978 orders designs t 2.7 . An infinite family of skew weighing matrices Peter Eades and Jennifer Seberry Wallis Australian National University, Canberra Australia.
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