Results 1 to 10 of about 21,370 (261)
Quantum Error-Correcting Codes Based on Orthogonal Arrays [PDF]
Entropy, 2023 In this paper, by using the Hamming distance, we establish a relation between quantum error-correcting codes ((N,K,d+1))s and orthogonal arrays with orthogonal partitions.
Rong Yan +3 more
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Epitaxial growth of metal-organic framework nanosheets into single-crystalline orthogonal arrays [PDF]
Nature Communications, 2023 Construction of two-dimensional nanosheets into three-dimensional regular structures facilitates the mass transfer and exploits the maximum potential of two-dimensional building blocks in applications such as catalysis.
Yingying Zou +8 more
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Design of Experiments: Useful Orthogonal Arrays for Number of Experiments from 4 to 16
Entropy, 2007 A methodology for the design of an experiment is proposed in order to find asmany schemes as possible with the maximum number of factors with different levels for thesmallest number of experimental runs.
Lorentz Jäntschi +1 more
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On Graph-Orthogonal Arrays by Mutually Orthogonal Graph Squares [PDF]
Symmetry, 2020 During the last two centuries, after the question asked by Euler concerning mutually orthogonal Latin squares (MOLS), essential advances have been made. MOLS are considered as a construction tool for orthogonal arrays. Although Latin squares have numerous helpful properties, for some factual applications these structures are excessively prohibitive ...
A El-Mesady, M Higazy, Mohamed Saad
exaly +2 more sources
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
exaly +3 more sources
Order-of-Addition Orthogonal Arrays with High Strength
Mathematics, 2022 In order-of-addition experiments, the full order-of-addition designs are often unaffordable due to their large run sizes. The problem of finding efficient fractional OofA designs arises.
Shengli Zhao, Zehui Dong, Yuna Zhao
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Prediction of the main cutting force in longitudinal turning of AISI D6 tool steel bars by applying full and fractional experimental design [PDF]
MATEC Web of Conferences, 2020 This investigation concerns the cutting force magnitude during turning of AISI D6 tool steel using both Taguchi Experimental Design (TED) and full factorial design (FFD). Three main cutting parameters namely spindle speed, feed rate and depth of cut were
Aslani Kyriaki-E. +6 more
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An integer programming model for obtaining cyclic quasi-difference matrices
Operations Research Perspectives, 2023 Orthogonal arrays are of great importance in mathematical sciences. This paper analyses a certain practical advantage of quasi-difference matrices over difference matrices to obtain orthogonal arrays with given parameters.
Luis Martínez +2 more
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ORTHOGONAL ARRAYS OBTAINED BY ARRAY SUBTRACTION
Journal of Applied Analysis & Computation, 2021 Summary: In this paper, by using the orthogonal decompositions of projection matrices, a new general approach is proposed to construct asymmetrical OAs, namely array subtraction, the operation of which is not the usual subtraction but it is interesting since many so called atoms of asymmetrical OAs can be obtained by the array subtraction.
Luo, Chun +4 more
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Construction of quaternary quantum error-correcting codes via orthogonal arrays
Frontiers in Physics, 2023 This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang +6 more
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