The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Neste estudo, desenvolvemos um novo conceito de partição ortogonal para matrizes ortogonais assimétricas e o usamos pela primeira vez para a construção de matrizes ortogonais. Matrizes de permutação e o produto Kronecker também foram usados com sucesso e habilidade como nossas principais ferramentas. Conseqüentemente, um novo método geral de construção iterativo para matrizes ortogonais assimétricas de alta resistência foi desenvolvido, e algumas novas famílias infinitas de matrizes ortogonais de resistência 3 e várias novas matrizes ortogonais de resistência 4, 5 e 6 foram obtidas.
Shanqi PANG
Henan Normal University
Xiao LIN
Henan Normal University
Jing WANG
Henan Normal University
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Shanqi PANG, Xiao LIN, Jing WANG, "Construction of Asymmetric Orthogonal Arrays of Strength t from Orthogonal Partition of Small Orthogonal Arrays" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 8, pp. 1267-1272, August 2018, doi: 10.1587/transfun.E101.A.1267.
Abstract: In this study, we developed a new orthogonal partition concept for asymmetric orthogonal arrays and used it for the construction of orthogonal arrays for the first time. Permutation matrices and the Kronecker product were also successfully and skillfully used as our main tools. Hence, a new general iterative construction method for asymmetric orthogonal arrays of high strength was developed, and some new infinite families of orthogonal arrays of strength 3 and several new orthogonal arrays of strength 4, 5, and 6 were obtained.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1267/_p
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@ARTICLE{e101-a_8_1267,
author={Shanqi PANG, Xiao LIN, Jing WANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Construction of Asymmetric Orthogonal Arrays of Strength t from Orthogonal Partition of Small Orthogonal Arrays},
year={2018},
volume={E101-A},
number={8},
pages={1267-1272},
abstract={In this study, we developed a new orthogonal partition concept for asymmetric orthogonal arrays and used it for the construction of orthogonal arrays for the first time. Permutation matrices and the Kronecker product were also successfully and skillfully used as our main tools. Hence, a new general iterative construction method for asymmetric orthogonal arrays of high strength was developed, and some new infinite families of orthogonal arrays of strength 3 and several new orthogonal arrays of strength 4, 5, and 6 were obtained.},
keywords={},
doi={10.1587/transfun.E101.A.1267},
ISSN={1745-1337},
month={August},}
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TY - JOUR
TI - Construction of Asymmetric Orthogonal Arrays of Strength t from Orthogonal Partition of Small Orthogonal Arrays
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1267
EP - 1272
AU - Shanqi PANG
AU - Xiao LIN
AU - Jing WANG
PY - 2018
DO - 10.1587/transfun.E101.A.1267
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2018
AB - In this study, we developed a new orthogonal partition concept for asymmetric orthogonal arrays and used it for the construction of orthogonal arrays for the first time. Permutation matrices and the Kronecker product were also successfully and skillfully used as our main tools. Hence, a new general iterative construction method for asymmetric orthogonal arrays of high strength was developed, and some new infinite families of orthogonal arrays of strength 3 and several new orthogonal arrays of strength 4, 5, and 6 were obtained.
ER -