“School of Mathematics”
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| Paper IPM / M / 2352 | ||||||||||||||||||||||
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| Abstract: | ||||||||||||||||||||||
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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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