“School of Mathematics”
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| Paper IPM / M / 38 |
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| Abstract: | |||||
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A large set of disjoint S(λ;t, k, v) designs, denoted by
LS(λ; t, k, v), is a partition of k-subsets of v-set
into S(λ;t , k, v) designs. In this paper, we develop some
recursive methods to construct large sets of t-designs. As a
consequence, we show that a conjecture of Hartman on halving
complete designs is true for t=2 and 3 ≤ k ≤ 15.
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