Papers › On tight 4-designs in Hamming association schemes
On tight 4-designs in Hamming association schemes
Alexander Gavrilyuk, Sho Suda, Janoš Vidali
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We complete the classification of tight 4-designs in Hamming association schemes H(n,q), i.e., that of tight orthogonal arrays of strength 4, which had been open since a result by Noda (1979). To do so, we construct an association scheme attached to a tight 4-design in H(n,q) and analyze its triple intersection numbers to conclude the non-existence in all open cases.
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