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Quasi-symmetric designs and the Smith Normal Form

โœ Scribed by A. Blokhuis; A. R. Calderbank

Publisher
Springer
Year
1992
Tongue
English
Weight
707 KB
Volume
2
Category
Article
ISSN
0925-1022

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โœฆ Synopsis

We obtain necessary conditions for the existence of a 2 -(v, k, X) design, for which the block intersection sizes sl, s 2 ..... s n satisfy s I ---s 2 ~ ... -Sn -m s (modpe), where p is a prime and the exponent e is odd. These conditions are obtained from restriction on the Smith Normal Form of the incidence matrix of the design. We also obtain restrictions on the action of the automorphism group of a 2 -(v, k, X) design on points and on blocks.

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