Some characterizations of quasi-symmetric designs with a spread |
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| Authors: | S S Sane M S Shrikhande |
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| Institution: | (1) Department of Mathematics, University of Bombay, 400098 Bombay, India;(2) Mathematics Department, Central Michigan University, 48859 Mt. Pleasant, MI |
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| Abstract: | The designPG
2 (4,q) of the points and planes ofPG (4,q) forms a quasi-symmetric 2-design with block intersection numbersx=1 andy=q+1. We give some characterizations of quasi-symmetric designs withx=1 which have a spread through a fixed point. For instance, it is proved that if such a designD is also smooth, thenD PG
2 (4,q). |
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