【摘 要】
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A perfect (t, w, v;m)-threshold scheme is a simple w-uniform hypergraph (X,A), where X is a set of v points (which we refer to as shadows), together with a
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A perfect (t, w, v;m)-threshold scheme is a simple w-uniform hypergraph (X,A), where X is a set of v points (which we refer to as shadows), together with a partition of the block set A into m parts, say A ={A1,…, Am}, such that the following properties are satisfied:1.if B ∈ Ai and B ∈ Aj, where i ≠ j, then |B ∩ B| < t (i.e., all blocks containing any fixed subset S of t shadows occur in the same Ai),2.for any subset S of t < t shadows, there exists a non-negative integer λ(S) such that for every i (1 ≤ i ≤ m) there are exactly λ(S) blocks B such that S (∩) B ∈ Ai (i.e., there are the same number of blocks containing a subset S of t < t shadows in each of the m Ais).
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