Abstract
Infinite families of amicable orthogonal designs are constructed with(i) both of type (1, q) in order q + 1 when q ≡ 3 (mod 4) is a prime power,(ii) both of type (1, q) in order 2(q + 1) where q ≡ 1 (mod 4) is a prime power or q + 1 is the order of a conference matrix,(iii) both of type (2, 2q) in order 2(q + 1) when q ≡ 1 (mod 4) is a prime power or q + 1 is the order of a conference matrix.
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. [3] Wolfe Warren W. , “Clifford algebras and amicable orthogonal designs”, Queen's Mathematical Preprint No. 1974–22.
2. Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices
3. [1] Geramita Anthony V. , Geramita Joan Murphy , Wallis Jennifer Seberry , “Orthogonal designs”, J. Lin. Multilin. Algebra (to appear).
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