Linear Complexity of a Class of Quaternary Sequences with Optimal Autocorrelation

Linear Complexity of a Class of Quaternary Sequences with Optimal Autocorrelation

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 v...

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Veröffentlicht in:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2022/07/01, Vol.E105.A(7), pp.1070-1081
Hauptverfasser: ZHAO, Lu, XU, Bo, CAO, Tianqing, DU, Jiao
Format: Artikel
Sprache:eng
Schlagworte:
Complexity
Fields (mathematics)
finite field
Galois ring
linear complexity
quaternary sequence
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Zusammenfassung: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.
ISSN:0916-8508
1745-1337
DOI:10.1587/transfun.2021EAP1088