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- W2355362415 abstract "A partially balanced t-design t-(v, b, w; 1, 0) (X, A) is called partitionable if it is also a partially balanced (t-1)-design (t-1)-(v, b, w; λt-1 , 0) and we can partition the block set A into sets A1 , . . . , Aλt-1 such that each (X, Ai ) (1≤i≤λt-1 ) is a partially balanced (t-1)-design (t-1)-(v, b/λt-1 , w; 1, 0). We prove that the existence of partitionable partially balanced t-designs PPBD t-(v, b, w; λt-1 , 1, 0)s implies the existence of perfect (t, w, v; λt-1 )-threshold schemes, moreover, the existence of optimal partitionable partially balanced t-designs OPPBD(t, w, v)s is equivalent to the existence of optimal (t, w, v)-threshold schemes in certain circumstances. Further, we obtain some new infinity classes of optimal (t, w, v)-threshold schemes." @default.
- W2355362415 created "2016-06-24" @default.
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- W2355362415 date "2013-01-01" @default.
- W2355362415 modified "2023-09-25" @default.
- W2355362415 title "A combinatorial construction for perfect threshold schemes" @default.
- W2355362415 hasPublicationYear "2013" @default.
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