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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.

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