Publication Details

Joan Cooper and Jennifer Seberry Wallis, Using cyclotomy to construct orthogonal designs, Journal of the Australian Mathematical Society, Ser. A, 22, (1976), 119-127.


An orthogonal design of order n and type (s1, S2) on the commuting variables x1, X2 is a matrix of order n with entries from {O, ± x1, ± x2 } whose row vectors are formally orthogonal.

This note uses cyclotomy to construct orthogonal designs and finds several infinite families of new designs.



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