IEICE TRANSACTIONS on Fundamentals
Linear Complexity of a Class of Quaternary Sequences with Optimal Autocorrelation
Summary :
A unified construction for yielding optimal and balanced quaternary sequences from ideal/optimal balanced binary sequences was proposed by Zeng et al. In this paper, the linear complexity over finite field 𝔽2, 𝔽4 and Galois ring ℤ4 of the quaternary sequences are discussed, respectively. The exact values of linear complexity of sequences obtained by Legendre sequence pair, twin-prime sequence pair and Hall's sextic sequence pair are derived.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.7 pp.1070-1081
- Publication Date
- 2022/07/01
- Publicized
- 2022/01/13
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1088
- Type of Manuscript
- PAPER
- Category
- Cryptography and Information Security
Authors
Lu ZHAO
Tiangong University
Bo XU
Tiangong University
Tianqing CAO
Tiangong University
Jiao DU
Henan Normal University
Keyword
Latest Issue
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Lu ZHAO, Bo XU, Tianqing CAO, Jiao DU, "Linear Complexity of a Class of Quaternary Sequences with Optimal Autocorrelation" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 7, pp. 1070-1081, July 2022, doi: 10.1587/transfun.2021EAP1088.
Abstract: A unified construction for yielding optimal and balanced quaternary sequences from ideal/optimal balanced binary sequences was proposed by Zeng et al. In this paper, the linear complexity over finite field 𝔽2, 𝔽4 and Galois ring ℤ4 of the quaternary sequences are discussed, respectively. The exact values of linear complexity of sequences obtained by Legendre sequence pair, twin-prime sequence pair and Hall's sextic sequence pair are derived.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1088/_p
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@ARTICLE{e105-a_7_1070,
author={Lu ZHAO, Bo XU, Tianqing CAO, Jiao DU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Linear Complexity of a Class of Quaternary Sequences with Optimal Autocorrelation},
year={2022},
volume={E105-A},
number={7},
pages={1070-1081},
abstract={A unified construction for yielding optimal and balanced quaternary sequences from ideal/optimal balanced binary sequences was proposed by Zeng et al. In this paper, the linear complexity over finite field 𝔽2, 𝔽4 and Galois ring ℤ4 of the quaternary sequences are discussed, respectively. The exact values of linear complexity of sequences obtained by Legendre sequence pair, twin-prime sequence pair and Hall's sextic sequence pair are derived.},
keywords={},
doi={10.1587/transfun.2021EAP1088},
ISSN={1745-1337},
month={July},}
Copy
TY - JOUR
TI - Linear Complexity of a Class of Quaternary Sequences with Optimal Autocorrelation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1070
EP - 1081
AU - Lu ZHAO
AU - Bo XU
AU - Tianqing CAO
AU - Jiao DU
PY - 2022
DO - 10.1587/transfun.2021EAP1088
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2022
AB - A unified construction for yielding optimal and balanced quaternary sequences from ideal/optimal balanced binary sequences was proposed by Zeng et al. In this paper, the linear complexity over finite field 𝔽2, 𝔽4 and Galois ring ℤ4 of the quaternary sequences are discussed, respectively. The exact values of linear complexity of sequences obtained by Legendre sequence pair, twin-prime sequence pair and Hall's sextic sequence pair are derived.
ER -
English
