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- W3105490101 abstract "A Steiner triple system (STS) contains a transversal subdesign TD(3, w) if its point set has three pairwise disjoint subsets A, B, C of size w and w2 blocks of the STS intersect with each of A, B, C (those w2 blocks form a TD(3,w)). We prove several structural properties of Steiner triple systems of order 3w + 3 that contain one or more transversal subdesigns TD(3, w). Using exhaustive search, we find that there are 2 004 720 isomorphism classes of STS(21) containing a subdesign TD(3, 6) (or, equivalently, a 6 × 6 Latin square)." @default.
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- W3105490101 date "2020-01-01" @default.
- W3105490101 modified "2023-10-16" @default.
- W3105490101 title "Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6)" @default.
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- W3105490101 doi "https://doi.org/10.1134/s0032946020010032" @default.
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