(1) Department of Mathematics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, UK
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.