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3-Designs of PSL(2, 2n) With block sizes 4 and 5

✍ Scribed by M. S. Keranen; D. L. Kreher

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
109 KB
Volume
12
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

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

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