IEICE TRANSACTIONS on Fundamentals
Binary Sequence Pairs of Period pm-1 with Optimal Three-Level Correlation
Summary :
Let Fpm be the field of pm elements where p is an odd prime. In this letter, binary sequence pairs of period N=pm-1 are presented, where sequences are generated from the polynomial x2-c for any c ∈ Fpm{0}. The cross-correlation values of sequence pairs are completely determined, our results show that those binary sequence pairs have optimal three-level correlation.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.8 pp.1263-1266
- Publication Date
- 2018/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.1263
- Type of Manuscript
- LETTER
- Category
- Information Theory
Authors
Lianfei LUO
Xidian University
Wenping MA
Xidian University
Feifei ZHAO
Xidian University
Keyword
Latest Issue
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Lianfei LUO, Wenping MA, Feifei ZHAO, "Binary Sequence Pairs of Period pm-1 with Optimal Three-Level Correlation" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 8, pp. 1263-1266, August 2018, doi: 10.1587/transfun.E101.A.1263.
Abstract: Let Fpm be the field of pm elements where p is an odd prime. In this letter, binary sequence pairs of period N=pm-1 are presented, where sequences are generated from the polynomial x2-c for any c ∈ Fpm{0}. The cross-correlation values of sequence pairs are completely determined, our results show that those binary sequence pairs have optimal three-level correlation.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1263/_p
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@ARTICLE{e101-a_8_1263,
author={Lianfei LUO, Wenping MA, Feifei ZHAO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Binary Sequence Pairs of Period pm-1 with Optimal Three-Level Correlation},
year={2018},
volume={E101-A},
number={8},
pages={1263-1266},
abstract={Let Fpm be the field of pm elements where p is an odd prime. In this letter, binary sequence pairs of period N=pm-1 are presented, where sequences are generated from the polynomial x2-c for any c ∈ Fpm{0}. The cross-correlation values of sequence pairs are completely determined, our results show that those binary sequence pairs have optimal three-level correlation.},
keywords={},
doi={10.1587/transfun.E101.A.1263},
ISSN={1745-1337},
month={August},}
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TY - JOUR
TI - Binary Sequence Pairs of Period pm-1 with Optimal Three-Level Correlation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1263
EP - 1266
AU - Lianfei LUO
AU - Wenping MA
AU - Feifei ZHAO
PY - 2018
DO - 10.1587/transfun.E101.A.1263
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2018
AB - Let Fpm be the field of pm elements where p is an odd prime. In this letter, binary sequence pairs of period N=pm-1 are presented, where sequences are generated from the polynomial x2-c for any c ∈ Fpm{0}. The cross-correlation values of sequence pairs are completely determined, our results show that those binary sequence pairs have optimal three-level correlation.
ER -
English
