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- W2904705039 abstract "In this expository paper, we mainly study orthogonal arrays (OAs) of strength two having a row that is repeated $m$ times. It turns out that the Plackett-Burman bound (cite{PB}) can be strengthened by a factor of $m$ for orthogonal arrays of strength two that contain a row that is repeated $m$ times. This is a consequence of a more general result due to Mukerjee, Qian and Wu cite{Muk} that applies to orthogonal arrays of arbitrary strength $t$. We examine several proofs of the Plackett-Burman bound and discuss which of these proofs can be strengthened to yield the aforementioned bound for OAs of strength two with repeated rows. We also briefly discuss related bounds for $t$-designs, and OAs of strength $t$, when $t > 2$." @default.
- W2904705039 created "2018-12-22" @default.
- W2904705039 creator A5021938024 @default.
- W2904705039 date "2018-12-12" @default.
- W2904705039 modified "2023-09-27" @default.
- W2904705039 title "Bounds for orthogonal arrays with repeated rows" @default.
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