Amicable Hadamard matrices and amicable orthogonal designs
نویسندگان
چکیده
New constructions for amicable orthogonal designs are given. These new designs then give new amicable Hadamard matrices and new skew-Hadamard matrices. In particular we show that if p is the order of normalized amicable Hadamard matrices there are normalized amicable Hadamard matrices of order (p 1)u + 1, u > 0 an odd integer. Tables are given for the existence of amicable and skew-Hadamard matrices of orders 2tq, t ≥ 2 an integer, q(odd)≤2000. This gives further evidence to support the conjecture that "for every odd integer q there exists an integer t (dependent on q) so that there is a skew-Hadamard matrix of order 2tq." Disciplines Physical Sciences and Mathematics Publication Details Jennifer Seberry and Mieko Yamada, Amicable Hadamard matrices and amicable orthogonal designs, Utilitas Mathematica, 40, (1991), 179-192. This journal article is available at Research Online: http://ro.uow.edu.au/infopapers/1059
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