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

Cusack C. A. | Zendy; Graham S. W. | Zendy; Kreher D. L. | Zendy

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

Author(s) -

Cusack C. A.,

Graham S. W.,

Kreher D. L.

Publication year - 1995

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.3180030207

Subject(s) - psl , mathematics , combinatorics , block (permutation group theory) , line (geometry) , element (criminal law) , projective line , mod , set (abstract data type) , projective test , discrete mathematics , projective space , geometry , pure mathematics , computer science , political science , law , programming language

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.

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