New Perfect Gaussian Integer Sequences from Cyclic Difference Sets

Tao LIU; Chengqian XU; Yubo LI; Kai LIU

doi:10.1587/transfun.E100.A.3067

New Perfect Gaussian Integer Sequences from Cyclic Difference Sets

Tao LIU, Chengqian XU, Yubo LI, Kai LIU

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In this letter, three constructions of perfect Gaussian integer sequences are constructed based on cyclic difference sets. Sufficient conditions for constructing perfect Gaussian integer sequences are given. Compared with the constructions given by Chen et al. [12], the proposed constructions relax the restrictions on the parameters of the cyclic difference sets, and new perfect Gaussian integer sequences will be obtained.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.12 pp.3067-3070

Publication Date: 2017/12/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E100.A.3067

Type of Manuscript: LETTER

Category: Information Theory

Authors

Tao LIU
  Yanshan University
Chengqian XU
  Yanshan University
Yubo LI
  Yanshan University
Kai LIU
  Yanshan University

Keyword

Gaussian integer sequence, perfect sequence, cyclic difference set, zero autocorrelation

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Tao LIU, Chengqian XU, Yubo LI, Kai LIU, "New Perfect Gaussian Integer Sequences from Cyclic Difference Sets" in IEICE TRANSACTIONS on Fundamentals, vol. E100-A, no. 12, pp. 3067-3070, December 2017, doi: 10.1587/transfun.E100.A.3067.
Abstract: In this letter, three constructions of perfect Gaussian integer sequences are constructed based on cyclic difference sets. Sufficient conditions for constructing perfect Gaussian integer sequences are given. Compared with the constructions given by Chen et al. [12], the proposed constructions relax the restrictions on the parameters of the cyclic difference sets, and new perfect Gaussian integer sequences will be obtained.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.3067/_p

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@ARTICLE{e100-a_12_3067,
author={Tao LIU, Chengqian XU, Yubo LI, Kai LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Perfect Gaussian Integer Sequences from Cyclic Difference Sets},
year={2017},
volume={E100-A},
number={12},
pages={3067-3070},
abstract={In this letter, three constructions of perfect Gaussian integer sequences are constructed based on cyclic difference sets. Sufficient conditions for constructing perfect Gaussian integer sequences are given. Compared with the constructions given by Chen et al. [12], the proposed constructions relax the restrictions on the parameters of the cyclic difference sets, and new perfect Gaussian integer sequences will be obtained.},
keywords={},
doi={10.1587/transfun.E100.A.3067},
ISSN={1745-1337},
month={December},}

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TY - JOUR
TI - New Perfect Gaussian Integer Sequences from Cyclic Difference Sets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3067
EP - 3070
AU - Tao LIU
AU - Chengqian XU
AU - Yubo LI
AU - Kai LIU
PY - 2017
DO - 10.1587/transfun.E100.A.3067
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2017
AB - In this letter, three constructions of perfect Gaussian integer sequences are constructed based on cyclic difference sets. Sufficient conditions for constructing perfect Gaussian integer sequences are given. Compared with the constructions given by Chen et al. [12], the proposed constructions relax the restrictions on the parameters of the cyclic difference sets, and new perfect Gaussian integer sequences will be obtained.
ER -