Ovoids and monomial ovals
Copyright policy )Ovoids and monomial ovals
The authors nearly settle the existence problem for transversal designs (or, equivalently, orthogonal arrays) with block size 8 or 9 and index \(\lambda> 1\). There are only 52 possible exceptions left. This is the first general theorem since the corresponding result for block size 7 was proved by \textit{Haim Hanani} [On transversal designs, Combinatorics, Part 1, Proc. Advanced Study Inst., Breukelen, 42-52 (1974; Zbl 0312.05016)].
- University of Adelaide Australia
- University of Western Australia Australia
- University of Canterbury New Zealand
orthogonal arrays, monomial ovals, Orthogonal arrays, Latin squares, Room squares, ovoids, Other designs, configurations, Finite partial geometries (general), nets, partial spreads, transversal designs
orthogonal arrays, monomial ovals, Orthogonal arrays, Latin squares, Room squares, ovoids, Other designs, configurations, Finite partial geometries (general), nets, partial spreads, transversal designs
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