Balanced ternary designs with holes and numbers of common triples
نویسنده
چکیده
There exists a balanced ternary design with block size 3 and index 2 on 2v P2 + 4 and 2v P2 + 1 elements with a hole of size v, for all positive integers v and P2, such that v ~ 2P2 + 1. As an application of this result, we determine the numbers of common triples in two simple balanced ternary designs with block size 3 and index 2, for P2 = 3 and 4.
منابع مشابه
Pairs of simple balanced ternary designs with prescribed numbers of triples in common
A balanced ternary design of order v with block size three, index 2 and P2 = 1 is a collection of multi-subsets of size 3 (of type { x, y, z} or {x, x, y }) called blocks, in which each unordered pair of distinct elements occurs twice possibly in one block and in which each element is repeated in just one block. So there are precisely v blocks of type {x, x, y}. Necessarily v == 0 (mod 3). We d...
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 7 شماره
صفحات -
تاریخ انتشار 1993