𝔖 Bobbio Scriptorium
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Supplemented Block Designs

✍ Scribed by Caliński, T. ;Ceranka, B.

Publisher
Wiley (John Wiley & Sons)
Year
1974
Weight
318 KB
Volume
16
Category
Article
ISSN
0006-3452

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Let Vi (i = 1, 2) be a set of size vi. Let D be a collection of ordered pairs (b1 , b2 ) where bi is a ki-element subset of Vi. We say that D is a mixed t-design if there exist constants λ (j 1 ,j 2 ) (0 ≤ ji ≤ ki, j1 + j2 ≤ t) such that, for every choice of a j1 -element subset S1 of V1 and every c

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## Abstract The necessary conditions for the existence of a balanced incomplete block design on υ ≥ __k__ points, with index λ and block size __k__, are that: For __k__ = 8, these conditions are known to be sufficient when λ = 1, with 38 possible exceptions, the largest of which is υ = 3,753. For