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Necessary Conditions for Existence of Some Designs in Polynomial Metric Spaces

✍ Scribed by P. Boyvalenkov; S. Boumova; D. Danev

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 161 KB
Volume: 20
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1998.0278

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✦ Synopsis

In this paper we consider designs in polynomial metric spaces with relatively small cardinalities (near to the classical bounds). We obtain restrictions on the distributions of the inner products of points of such designs. These conditions turn out to be strong enough to ensure obtaining nonexistence results already for the first open cases.

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