On the optimality of a class of minimal covering designs (Q1058796)
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scientific article; zbMATH DE number 3901840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the optimality of a class of minimal covering designs |
scientific article; zbMATH DE number 3901840 |
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On the optimality of a class of minimal covering designs (English)
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1984
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It is shown that the minimal covering designs for \(v=6t+5\) treatments in blocks of size 3 are optimal w.r.t. a large class of optimality criteria. This class of optimality criteria includes the well-known criteria of A-, D- and E-optimality. It is conjectured that these designs are also optimal w.r.t. other criteria suggested by \textit{K. Takeuchi}, Rep. Stat. Appl. Res. Union Jap. Sci. Eng. 8, 140-145 (1961; Zbl 0104.125).
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Steiner triple systems
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D-optimality
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minimal covering designs
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E- optimality
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