The uniformly 3-homogeneous subsets of PGL$(2,q)$
Journal of Algebraic Combinatorics, Tome 4 (1995) no. 2, pp. 99-102.

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Summary: We use the character-table of $PGL(2, q)$ to determine the subsets of that group acting uniformly 3-homogeneously on the projective line.
Mots-clés : authentication, secrecy, permutation, group, character-table, perpendicular array 
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     title = {The uniformly 3-homogeneous subsets of {PGL}$(2,q)$},
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Bierbrauer, Jürgen. The uniformly 3-homogeneous subsets of PGL$(2,q)$. Journal of Algebraic Combinatorics, Tome 4 (1995) no. 2, pp. 99-102. https://geodesic-test.mathdoc.fr/item/JAC_1995__4_2_a4/