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
Na teoria das matrizes ortogonais, uma matriz ortogonal (OA) é chamada de esquemática se suas linhas formam um esquema de associação em relação às distâncias de Hamming. Neste artigo, estudamos as distâncias de Hamming de quaisquer duas linhas em um OA, construímos alguns OAs esquemáticos de força dois e damos a solução positiva para o problema aberto para classificar todos os OAs esquemáticos. Alguns exemplos são dados para ilustrar nossos métodos.
Shanqi PANG
Henan Normal University
Yongmei LI
Henan Normal University
Rong YAN
Henan Normal University
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Shanqi PANG, Yongmei LI, Rong YAN, "Schematic Orthogonal Arrays of Strength Two" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 2, pp. 556-562, February 2020, doi: 10.1587/transfun.2019EAL2088.
Abstract: In the theory of orthogonal arrays, an orthogonal array (OA) is called schematic if its rows form an association scheme with respect to Hamming distances. In this paper, we study the Hamming distances of any two rows in an OA, construct some schematic OAs of strength two and give the positive solution to the open problem for classifying all schematic OAs. Some examples are given to illustrate our methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019EAL2088/_p
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@ARTICLE{e103-a_2_556,
author={Shanqi PANG, Yongmei LI, Rong YAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Schematic Orthogonal Arrays of Strength Two},
year={2020},
volume={E103-A},
number={2},
pages={556-562},
abstract={In the theory of orthogonal arrays, an orthogonal array (OA) is called schematic if its rows form an association scheme with respect to Hamming distances. In this paper, we study the Hamming distances of any two rows in an OA, construct some schematic OAs of strength two and give the positive solution to the open problem for classifying all schematic OAs. Some examples are given to illustrate our methods.},
keywords={},
doi={10.1587/transfun.2019EAL2088},
ISSN={1745-1337},
month={February},}
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TY - JOUR
TI - Schematic Orthogonal Arrays of Strength Two
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 556
EP - 562
AU - Shanqi PANG
AU - Yongmei LI
AU - Rong YAN
PY - 2020
DO - 10.1587/transfun.2019EAL2088
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2020
AB - In the theory of orthogonal arrays, an orthogonal array (OA) is called schematic if its rows form an association scheme with respect to Hamming distances. In this paper, we study the Hamming distances of any two rows in an OA, construct some schematic OAs of strength two and give the positive solution to the open problem for classifying all schematic OAs. Some examples are given to illustrate our methods.
ER -