IEICE TRANSACTIONS on Fundamentals
New Perfect Gaussian Integer Sequences from Cyclic Difference Sets
Summary :
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
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
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://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.3067/_p
Copy
@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},}
Copy
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 -
English
