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
En tant qu'objet combinatoire optimal, la famille de différences de Mendelsohn parfaite cyclique (CPMDF) a été introduite par Fuji-Hara et Miao pour construire des codes orthogonaux optiques optimaux. Dans cet article, nous proposons une construction directe de CPMDF disjoints à partir de la cyclotomie Zeng-Cai-Tang-Yang. Par rapport à un travail récent de Fan, Cai et Tang, notre construction n'a pas besoin de dépendre d'une matrice de différences cycliques. De plus, les séquences de sauts de fréquence (FHS) strictement optimales sont une sorte de FHS optimales qui présentent une autocorrélation de Hamming optimale pour toute fenêtre de corrélation. En tant qu'application de nos CPMDF disjoints, nous présentons des constructions combinatoires plus flexibles de FHS strictement optimales, qui interprètent la construction précédente proposée par Cai, Zhou, Yang et Tang.
Shanding XU
Nanjing University of Aeronautics and Astronautics,Guangzhou University
Xiwang CAO
Nanjing University of Aeronautics and Astronautics
Jian GAO
Shandong University of Technology
Chunming TANG
Guangzhou University
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Shanding XU, Xiwang CAO, Jian GAO, Chunming TANG, "A Kind of Disjoint Cyclic Perfect Mendelsohn Difference Family and Its Applications in Strictly Optimal FHSs" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 12, pp. 2338-2343, December 2018, doi: 10.1587/transfun.E101.A.2338.
Abstract: As an optimal combinatorial object, cyclic perfect Mendelsohn difference family (CPMDF) was introduced by Fuji-Hara and Miao to construct optimal optical orthogonal codes. In this paper, we propose a direct construction of disjoint CPMDFs from the Zeng-Cai-Tang-Yang cyclotomy. Compared with a recent work of Fan, Cai, and Tang, our construction doesn't need to depend on a cyclic difference matrix. Furthermore, strictly optimal frequency-hopping sequences (FHSs) are a kind of optimal FHSs which has optimal Hamming auto-correlation for any correlation window. As an application of our disjoint CPMDFs, we present more flexible combinatorial constructions of strictly optimal FHSs, which interpret the previous construction proposed by Cai, Zhou, Yang, and Tang.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.2338/_p
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@ARTICLE{e101-a_12_2338,
author={Shanding XU, Xiwang CAO, Jian GAO, Chunming TANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Kind of Disjoint Cyclic Perfect Mendelsohn Difference Family and Its Applications in Strictly Optimal FHSs},
year={2018},
volume={E101-A},
number={12},
pages={2338-2343},
abstract={As an optimal combinatorial object, cyclic perfect Mendelsohn difference family (CPMDF) was introduced by Fuji-Hara and Miao to construct optimal optical orthogonal codes. In this paper, we propose a direct construction of disjoint CPMDFs from the Zeng-Cai-Tang-Yang cyclotomy. Compared with a recent work of Fan, Cai, and Tang, our construction doesn't need to depend on a cyclic difference matrix. Furthermore, strictly optimal frequency-hopping sequences (FHSs) are a kind of optimal FHSs which has optimal Hamming auto-correlation for any correlation window. As an application of our disjoint CPMDFs, we present more flexible combinatorial constructions of strictly optimal FHSs, which interpret the previous construction proposed by Cai, Zhou, Yang, and Tang.},
keywords={},
doi={10.1587/transfun.E101.A.2338},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - A Kind of Disjoint Cyclic Perfect Mendelsohn Difference Family and Its Applications in Strictly Optimal FHSs
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2338
EP - 2343
AU - Shanding XU
AU - Xiwang CAO
AU - Jian GAO
AU - Chunming TANG
PY - 2018
DO - 10.1587/transfun.E101.A.2338
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2018
AB - As an optimal combinatorial object, cyclic perfect Mendelsohn difference family (CPMDF) was introduced by Fuji-Hara and Miao to construct optimal optical orthogonal codes. In this paper, we propose a direct construction of disjoint CPMDFs from the Zeng-Cai-Tang-Yang cyclotomy. Compared with a recent work of Fan, Cai, and Tang, our construction doesn't need to depend on a cyclic difference matrix. Furthermore, strictly optimal frequency-hopping sequences (FHSs) are a kind of optimal FHSs which has optimal Hamming auto-correlation for any correlation window. As an application of our disjoint CPMDFs, we present more flexible combinatorial constructions of strictly optimal FHSs, which interpret the previous construction proposed by Cai, Zhou, Yang, and Tang.
ER -