Title

Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5

Document Type

Article

Publication Date

1-1-1995

Abstract

We determine the distribution of 3−(q + 1,k,λ) designs, with k ϵ {4,5}, among the orbits of k‐element subsets under the action of PSL(2,q), for q ϵ 3 (mod 4), on the projective line. As a consequence, we give necessary and sufficient conditions for the existence of a uniformly‐PSL(2,q) large set of 3−(q + 1,k,λ) designs, with k ϵ {4,5} and q ≡ 3 (mod 4). © 1995 John Wiley & Sons, Inc. Copyright © 1995 Wiley Periodicals, Inc., A Wiley Company

Publication Title

Journal of Combinatorial Designs

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