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| Paper IPM / M / 7986 |
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| Abstract: | |
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Using the doubling lemma, amicable sets of eight circulant
matrices and four complementary negacyclic matrices, we show that
all full triples are types of orthogonal designs of order 56. This
implies that all full orthogonal designs \OD(2t 7;x,y, 2t7−x−y) exist for any t ≥ 3.
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