A Kind of Disjoint Cyclic Perfect Mendelsohn Difference Family and Its Applications in Strictly Optimal FHSs

Shanding XU; Xiwang CAO; Jian GAO; Chunming TANG

doi:10.1587/transfun.E101.A.2338

A Kind of Disjoint Cyclic Perfect Mendelsohn Difference Family and Its Applications in Strictly Optimal FHSs

Shanding XU, Xiwang CAO, Jian GAO, Chunming TANG

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.12 pp.2338-2343

Publication Date: 2018/12/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E101.A.2338

Type of Manuscript: Special Section PAPER (Special Section on Signal Design and Its Applications in Communications)

Category: Communication Theory and Signals

Authors

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

Keyword

frequency-hopping sequence, strictly optimal, disjoint cyclic perfect Mendelsohn difference family, Zeng-Cai-Tang-Yang cyclotomy

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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 -