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Nested balanced ternary designs and Bhaskar Rao designs
2008
The Australasian Journal of Combinatorics
In this paper, we consider balanced ternary designs, BTDs, in which every block contains one element singly and the rest doubly. We call these packed BTDs, and we investigate three aspects of these designs: existence, nestings and signings. Construction methods generate classes of packed BTDs that are nested with balanced (BIBD) or partially balanced (PBIBD) incomplete block designs. Some of these classes are signed to produce c-Bhaskar Rao BT Ds, most often with c = 0. Packed BTDs with block
dblp:journals/ajc/FrancelH08
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