One and two-block configurations in balanced ternary designs (Q2713616)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One and two-block configurations in balanced ternary designs |
scientific article |
Statements
10 June 2001
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balanced incomplete block design
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configuration
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ternary design
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One and two-block configurations in balanced ternary designs (English)
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The paper concerns balanced ternary designs on \(v\) elements with blocks of size 3, where each pair of distinct elements is in two blocks. Furthermore, each element occurs singly in \(\rho _1\) blocks and doubly in \(\rho _2\) blocks. Every possible 2-block configuration corresponds to one of 11 templates, and the paper contains formulae that express the occurence number for each of these templates in terms of \(v,\rho _1,\rho _2\), and in terms of further two variables (which correspond to two 2-block configurations that are regarded as basic).
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