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Uniqueness of \(AG_3(4,2)\). (English) Zbl 1175.05028
Summary: We show that the geometric design \(AG_3(4,2)\) is up to isomorphism the only 3-(16,8,3) design in which any four distinct points are contained in at least one common block.

05B30 Other designs, configurations
05B05 Combinatorial aspects of block designs
51E05 General block designs in finite geometry
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