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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 +2 more
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IEEE Access, 2020 This work presents novel techniques to realize a retrodirective millimeter wave antenna array with wide field of view. High gain arrays in phase conjugate configuration are used in combination with orthogonal polarization states and a novel pulse ...
Ahmed Bilal Numan +2 more
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Difference Covering Arrays and Pseudo-Orthogonal Latin Squares [PDF]
, 2015 Difference arrays are used in applications such as software testing, authentication codes and data compression. Pseudo-orthogonal Latin squares are used in experimental designs.
Demirkale, Fatih +4 more
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The Annals of Mathematical Statistics, 1966 It was shown in [11] that one can construct orthogonal arrays $(\lambda 2^3, k + 1, 2, 3)$ from arrays $(\lambda 2^2, k, 2, 2)$ with the maximum number of constraints $k + 1$ provided that $k$ is the maximum number of constraints for the arrays of strength two. This result is generalized here to construction of arrays $(\lambda 2^{t + 1}, k + 1, 2, t +
Seiden, Esther, Zemach, Rita
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3-Uniform states and orthogonal arrays
Results in Physics, 2016 We propose a criterion for the k-uniform state via local unitary transformation invariant and find for what N there are 3-uniform states of N-qubits.
Xin-wei Zha, Irfan Ahmed, Yanpeng Zhang
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Mathematics, 2020 We introduce and investigate binary (k,k)-designs, a special case of T-designs. Our combinatorial interpretation relates (k,k)-designs to the binary orthogonal arrays.
Todorka Alexandrova +2 more
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Generalized resolution for orthogonal arrays [PDF]
, 2014 The generalized word length pattern of an orthogonal array allows a ranking of orthogonal arrays in terms of the generalized minimum aberration criterion (Xu and Wu [Ann. Statist. 29 (2001) 1066-1077]).
Grömping, Ulrike, Xu, Hongquan
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Orthogonal Printed Microstrip Antenna Arrays for 5G Millimeter-Wave Applications
Micromachines, 2021 This article presents the design of a planar MIMO (Multiple Inputs Multiple Outputs) antenna comprised of two sets orthogonally placed 1 × 12 linear antenna arrays for 5G millimeter wave (mmWave) applications.
Muhammad M. Hossain +2 more
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Efficient decoupling schemes with bounded controls based on Eulerian orthogonal arrays [PDF]
, 2004 The task of decoupling, i.e., removing unwanted interactions in a system Hamiltonian and/or couplings with an environment (decoherence), plays an important role in controlling quantum systems.
A. S. Hedayat +5 more
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DoE.MIParray: An R Package for Algorithmic Creation of Orthogonal Arrays
Journal of Open Research Software, 2020 The R package DoE.MIParray uses mixed integer optimization for creating well-balanced arrays for experimental designs. Its use requires availability of at least one of the commercial optimizers Gurobi or Mosek.
Ulrike Grömping
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