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Quasi-symmetric 2, 3, 4-designs

โœ Scribed by Sharad S. Sane; Mohan S. Shrikhande


Book ID
110564353
Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
547 KB
Volume
7
Category
Article
ISSN
0209-9683

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In this paper we show that Lander's coding-theoretic proof of (parts of) the Bruck-Ryser-Chowla Theorem can be suitably modified to obtain analogous number theoretic restrictions on the parameters of quasi-symmetric designs. These results may be thought of as extensions to odd primes of the recent b

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A~TRACT. The following result is proved: Let D be a quasi-symmetric 3-design with intersection numbers x, y(0 ~< x < y < k). D has no three distinct blocks such that any two of them intersect in x points if and only if D is a Hadamard 3-design, or D has a parameter set (v, k, 2