IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Linear Complexity of a Class of Quaternary Sequences with Optimal Autocorrelation
Lu ZHAOBo XUTianqing CAOJiao DU
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2022 Volume E105.A Issue 7 Pages 1070-1081

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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.

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© 2022 The Institute of Electronics, Information and Communication Engineers
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