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Quantum Error-Correcting Codes Based on Orthogonal Arrays [PDF]

open access: goldEntropy, 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
doaj   +4 more sources

Epitaxial growth of metal-organic framework nanosheets into single-crystalline orthogonal arrays [PDF]

open access: yesNature 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
doaj   +2 more sources

Constructions of Augmented Orthogonal Arrays [PDF]

open access: greenJournal of Combinatorial Designs, 2018
AbstractAugmented orthogonal arrays (AOAs) were introduced by Stinson, who showed the equivalence between ideal ramp schemes and AOAs (Discrete Math. 341 (2018), 299–307). In this paper, we show that there is an AOAif and only if there is an OAwhich can be partitioned intosubarrays, each being an OA, and that there is a linear AOAif and only if there ...
Xin Wang, Lijun Ji, Yun Li, Miao Liang
openalex   +5 more sources

Generalized resolution for orthogonal arrays [PDF]

open access: green, 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
core   +3 more sources

Coarse-grained entanglement classification through orthogonal arrays [PDF]

open access: green, 2018
Classification of entanglement in multipartite quantum systems is an open problem solved so far only for bipartite systems and for systems composed of three and four qubits.
Bruns W.   +18 more
core   +2 more sources

Order-of-Addition Orthogonal Arrays with High Strength

open access: yesMathematics, 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
doaj   +1 more source

A novel application on mutually orthogonal graph squares and graph-orthogonal arrays

open access: yesAIMS Mathematics, 2022
Security of personal information has become a major concern due to the increasing use of the Internet by individuals in the digital world. The main purpose here is to prevent an unauthorized person from gaining access to confidential information.
A. El-Mesady   +2 more
doaj   +1 more source

Prediction of the main cutting force in longitudinal turning of AISI D6 tool steel bars by applying full and fractional experimental design [PDF]

open access: yesMATEC 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
doaj   +1 more source

An integer programming model for obtaining cyclic quasi-difference matrices

open access: yesOperations 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
doaj   +1 more source

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