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Constructions for new orthogonal arrays based on large sets of orthogonal arrays
Designs, Codes, and Cryptography, 2023An orthogonal array \(\text{OA}(N,s_{1}^{k_{1}}s_{2}^{k_{2}}\cdots s_{m}^{k_{m}},t)\) is an \(N\times k\) array with \(k=\sum_{j=1}^{m}k_{j}\) in which the first \(k_{1}\) columns have entries from \(\{0,1,2,\dots, s_{1}-1\}\), the next \(k_{2}\) columns have entries from \(\{0,1,2,\dots, s_{2}-1\}\) and so on, with the property that in any \(N\times t\
Guangzhou Chen
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Local equivalence of quantum orthogonal arrays and orthogonal arrays
Quantum Information Processing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiao Du +3 more
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Technometrics, 1999
Compound orthogonal arrays have recently been introduced as an alternative to Taguchi's direct product arrays for studying location and dispersion effects simultaneously. In this article, we provide a catalog of two-level compound orthogonal arrays for parameters of most practical interest. The arrays presented possess the maximum possible strength for
A. S. Hedayat, John Stufken
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Compound orthogonal arrays have recently been introduced as an alternative to Taguchi's direct product arrays for studying location and dispersion effects simultaneously. In this article, we provide a catalog of two-level compound orthogonal arrays for parameters of most practical interest. The arrays presented possess the maximum possible strength for
A. S. Hedayat, John Stufken
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Column-orthogonal strong orthogonal arrays and sliced strong orthogonal arrays
Statistica Sinica, 2015A strong orthogonal array of strength t can achieve uniformity on finer grids when projected onto any g dimensions for any g less than t. It can be regarded as a kind of uniform space-filling design. Meanwhile, orthogonality is also desir- able for space-filling designs.
Haiyan Liu, Min-Qian Liu
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Nearly orthogonal arrays mappable into fully orthogonal arrays
Biometrika, 2014We develop a method for construction of arrays which are nearly orthogonal, in the sense that each column is orthogonal to a large proportion of the other columns, and which are convertible to fully orthogonal arrays via a mapping of the symbols in each column to a possibly smaller set of symbols.
Rahul Mukerjee, Fasheng Sun, Boxin Tang
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2018 Shanqi Pang
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On Distance Distributions of Orthogonal Arrays
Problems of Information Transmission, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Incomplete orthogonal arrays and idempotent orthogonal arrays
Graphs and Combinatorics, 1996The author introduces a notion of idempotency of orthogonal arrays (OA) of index unity, and the notion of incomplete OA. Denote by \(\text{OA}_\lambda(t,r,s)\) an array with \(r\) rows and \(\lambda s^t\) columns, with entries taken from an \(s\)-set \(E\), such that in each set of \(t\) rows every \(t\)-tuple of entries occurs precisely \(\lambda ...
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A new approach in constructing orthogonal and nearly orthogonal arrays
Metrika, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kai-Tai Fang
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New results on large sets of orthogonal arrays and orthogonal arrays
Journal of Combinatorial DesignsAbstractOrthogonal array and a large set of orthogonal arrays are important research objects in combinatorial design theory, and they are widely applied to statistics, computer science, coding theory, and cryptography. In this paper, some new series of large sets of orthogonal arrays are given by direct construction, juxtaposition construction ...
Guangzhou Chen
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