New Construction Methods for Binary Sequence Pairs of Period pq with Ideal Two-Level Correlation
Summary :
In this paper, a new generalized cyclotomy over Zpq is presented based on cyclotomy and Chinese remainder theorem, where p and q are different odd primes. Several new construction methods for binary sequence pairs of period pq with ideal two-level correlation are given by utilizing these generalized cyclotomic classes. All the binary sequence pairs from our constructions have both ideal out-of-phase correlation values -1 and optimum balance property.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.4 pp.704-712
- Publication Date
- 2018/04/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.704
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Xiumin SHEN
Yanshan University
Yanguo JIA
Yanshan University
Xiaofei SONG
Yanshan University
Yubo LI
Yanshan University
Keyword
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Xiumin SHEN, Yanguo JIA, Xiaofei SONG, Yubo LI, "New Construction Methods for Binary Sequence Pairs of Period pq with Ideal Two-Level Correlation" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 4, pp. 704-712, April 2018, doi: 10.1587/transfun.E101.A.704.
Abstract: In this paper, a new generalized cyclotomy over Zpq is presented based on cyclotomy and Chinese remainder theorem, where p and q are different odd primes. Several new construction methods for binary sequence pairs of period pq with ideal two-level correlation are given by utilizing these generalized cyclotomic classes. All the binary sequence pairs from our constructions have both ideal out-of-phase correlation values -1 and optimum balance property.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.704/_p
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@ARTICLE{e101-a_4_704,
author={Xiumin SHEN, Yanguo JIA, Xiaofei SONG, Yubo LI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Construction Methods for Binary Sequence Pairs of Period pq with Ideal Two-Level Correlation},
year={2018},
volume={E101-A},
number={4},
pages={704-712},
abstract={In this paper, a new generalized cyclotomy over Zpq is presented based on cyclotomy and Chinese remainder theorem, where p and q are different odd primes. Several new construction methods for binary sequence pairs of period pq with ideal two-level correlation are given by utilizing these generalized cyclotomic classes. All the binary sequence pairs from our constructions have both ideal out-of-phase correlation values -1 and optimum balance property.},
keywords={},
doi={10.1587/transfun.E101.A.704},
ISSN={1745-1337},
month={April},}
Copy
TY - JOUR
TI - New Construction Methods for Binary Sequence Pairs of Period pq with Ideal Two-Level Correlation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 704
EP - 712
AU - Xiumin SHEN
AU - Yanguo JIA
AU - Xiaofei SONG
AU - Yubo LI
PY - 2018
DO - 10.1587/transfun.E101.A.704
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2018
AB - In this paper, a new generalized cyclotomy over Zpq is presented based on cyclotomy and Chinese remainder theorem, where p and q are different odd primes. Several new construction methods for binary sequence pairs of period pq with ideal two-level correlation are given by utilizing these generalized cyclotomic classes. All the binary sequence pairs from our constructions have both ideal out-of-phase correlation values -1 and optimum balance property.
ER -
English
