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New Simple 3-Designs on 26 and 28 Points

Iliya Bluskov1
1Department of Mathematics and Statistics Simon Fraser University Burnaby, B.C. CANADA, V5A 186

Abstract

In this paper, we prove the existence of 22 new 3-designs on 26 and 28 points. The base of the constructions are two designs with a small maximum size of the intersection of any two blocks.