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# Some new orthogonal designs in orders 32 and 40

@article{Kharaghani2004SomeNO, title={Some new orthogonal designs in orders 32 and 40}, author={Hadi Kharaghani and Behruz Tayfeh-Rezaie}, journal={Discrete Mathematics}, year={2004}, volume={279}, pages={317-324} }

- Published 2004 in Discrete Mathematics
DOI:10.1016/S0012-365X(03)00277-2

A result of Robinson states that no OD(n; 1, 1, 1, 1, 1, n− 5) exists for n > 40. We complement this result by showing the existence of OD(n; 1, 1, 1, 1, 1, n− 5) for n = 32, 40. This includes a resolution to an old open problem regarding orthogonal designs of order 32 as well. We also obtain a number of new orthogonal designs of order 32.

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