Title

3-designs of PSL(2,2 < sup> n ) with block sizes 4 and 5

Document Type

Article

Publication Date

12-1-2004

Abstract

We determine the distribution of 3-designs among the orbits of 4- and 5-element subsets under the action of PSL(2, 2n) on the projective line. Thus we give complete information on all Kramer-Mesner matrices for the action of PSL(2, 2n) on 3-sets versus 4- and 5-sets. As a consequence, all 3-designs with block sizes 4 and 5 and automorphism group PSL(2; 2n) can immediately be obtained. © 2003 Wiley Periodicals, Inc.

Publication Title

Journal of Combinatorial Designs

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