Further 6-sparse Steiner Triple Systems

Forbes, A. D.; Grannell, M. J. and Griggs, T. S. (2009). Further 6-sparse Steiner Triple Systems. Graphs and Combinatorics, 25(1) pp. 49–64.

DOI: https://doi.org/10.1007/s00373-008-0819-3

Abstract

We give a construction that produces 6-sparse Steiner triple systems of order v for all sufficiently large v of the form 3p, p prime and p ≡ 3 (mod 4). We also give a complete list of all 429 6-sparse systems with v < 10000 produced by this construction.

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