A Bound for the Lengths of Arcs in Steiner Systems

Abstract

An upper bound for the lengths of arcs in Steiner systems is given. A partial Steiner system PS…t; k; v† is a pair …W; b† where W is a set of v points and b a set of k-subsets (called blocks) of W such that any t-subset of W is contained in at most one block. A Steiner system S…t; k; v† is a partial Steiner system such that any t-subset is contained in… (More)
DOI: 10.1007/s003730050067

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