Abstract
We study the conjecture: There exists a square (0,l,-l)-matrix W = W(w,k) of order w satisfying
WWT= kIw
for all k = 0, 1,..., w when w = 0 (mod 4). We prove the conjecture is true for 4, 8, 12, 16, 20, 24, 28, 32, 40 and give partial results for 36, 44, 52, 56.
Publication Details
Jennifer Seberry Wallis, Orthogonal (0,1,-1) matrices, Proceedings of First Australian Conference on Combinatorial Mathematics, TUNRA, Newcastle, (1972), 61-84.