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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… Click to show full abstract
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.
Keywords:
tight designs;
schemes tight;
association schemes;
association;
hamming association;
designs hamming
Journal Title: Combinatorica
Year Published: 2020
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Journal Title: Combinatorica
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!