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Book Sections Year : 2001

On the construction of linear orthogonal arrays by extension

Abstract

A. S. Hedayat, J. Stufken and G. Su [J. Stat. Plann. Inference 56, 307-324 (1996)] have introduced a method of constructing an orthogonal array of strength t from an orthogonal array of strength t-1, based on difference schemes. We extend this result and construct an orthogonal array of strength t+m, m≥0, from an orthogonal array of strength t-1. We study, especially, the case of linear orthogonal arrays and their parity check matrices.
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emse-04513807 , version 1 (20-03-2024)

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  • HAL Id : emse-04513807 , version 1

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Astrid Jourdan, D. Collombier. On the construction of linear orthogonal arrays by extension. M.A.G. Viana; D.St.P. Richards. Algebraic Methods in Statistics and Probability, contemporaries mathematics series of the American Mathematical Society, 2001. ⟨emse-04513807⟩
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