Construction of orthogonal arrays of strength three by augmented difference schemes

DOI10.1016/j.disc.2022.113041zbMath1495.05020OpenAlexW4282961181MaRDI QIDQ2166294

Xiao Zhang, Shan-Qi Pang, Guang-zhou Chen

Publication date: 24 August 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2022.113041

zbMATH Keywords

difference schemeorthogonal arrayGalois fieldaugmented difference schemestrength three

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (1)

Constructions for new orthogonal arrays based on large sets of orthogonal arrays

Cites Work

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• A class of mixed orthogonal arrays obtained from projection matrix inequalities
• Resolvable generalized difference matrices: existence and applications
• \(t\)-CIS codes over \(\mathrm{GF}(p)\) and orthogonal arrays
• Construction of space-filling orthogonal designs
• On the construction of asymmetric orthogonal arrays
• Orthogonal arrays. Theory and applications
• On the maximal number of factors and the enumeration of 3-symbol orthogonal arrays of strength 3 and index 2
• On difference schemes and orthogonal arrays of strength \(t\)
• Construction of asymmetric orthogonal arrays through finite geometries.
• Generalized Latin matrix and construction of orthogonal arrays
• Uniform projection designs
• Construction of mixed orthogonal arrays with high strength
• Construction of symmetric and asymmetric orthogonal arrays of strength \(t\) from orthogonal partition
• Designs from good Hadamard matrices
• A general theory for orthogonal array based Latin hypercube sampling
• Structured Hadamard Conjecture
• The Existence of Mixed Orthogonal Arrays with Four and Five Factors of Strength Two
• A new recursive construction for optical orthogonal codes
• Complete enumeration of pure-level and mixed-level orthogonal arrays
• Orthogonal Array-Based Latin Hypercubes
• Construction of orthogonal symmetric Latin hypercube designs
• Asymptotically Optimal Optical Orthogonal Signature Pattern Codes
• Constructions of mixed orthogonal arrays of strength three
• Construction of asymmetric orthogonal arrays of high strength by juxtaposition
• Nested Lattice Sampling: A New Sampling Scheme Derived by Randomizing Nested Orthogonal Arrays
• Construction of Asymmetric Orthogonal Arrays of Strength Three via a Replacement Method
• On Orthogonal Arrays
• On the Problem of Construction of Orthogonal Arrays
• Orthogonal arrays obtained by generalized Hadamard product

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