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Linear codes supported by Steiner triple systems
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2-coloring 2-cycle 3k+l 4m+l adder adjacent asymptotic b b b b b blocks chromatic color columns Combinatorial Theory comma-free codes complete graph Congressus Numerantium conjecture consider construction COROLLARY corresponding cosets cycles dart Davenport-Schinzel Sequences define denote design of order design of type diameter digraph dinetwork disjoint elements embedded equation exists extremal graphs Figure finite follows Geramita GF(q graph G Graph Theory Hadamard Hence Jennifer Seberry join latin square least LEMMA linear code Manitoba Math matrix maximum number monochromatic n-connected nodes number of edges obtain occurs orthogonal design P-length pair pairwise partial parallel classes partial triple system partition permutation points polynomial positive integer prove result Room square satisfies sequence signal senders starter Steiner system Steiner triple systems subsets Suppose system of index transpedances transversals triangle Tutte University of Waterloo varieties vertex vertices W.T. Tutte weighing matrix xy.rs