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On the Linear Complexity of New Modified Jacobi Sequences

Qiuyan WANG, Yupeng JIANG, Dongdai LIN, Xuan GUANG

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Qiuyan WANG
State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences
Yupeng JIANG
State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences
Dongdai LIN
State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences
Xuan GUANG
School of Mathematical Sciences and LPMC, Nankai University

Corresponding author

Keywords:cyclotomy,sequences,linear complexity,minimal polynomials

JOURNALRESTRICTED ACCESS

2014 Volume E97.AIssue 11Pages 2263-2266

DOIhttps://doi.org/10.1587/transfun.E97.A.2263

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Published: 2014Manuscript Received: April 10, 2014Released on J-STAGE: November 01, 2014Accepted: -Advance online publication: -Manuscript Revised: July 10, 2014

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Article overview

Abstract

Jacobi sequences have good cryptography properties. Li et al. [X. Li et al., Linear Complexity of a New Generalized Cyclotomic Sequence of Order Two of Length pq^*, IEICE Trans. Fundamentals, vol.E96-A, no.5, pp.1001-1005, 2013] defined a new modified Jacobi sequence of order two and got its linear complexity. In this corresponding, we determine the linear complexity and minimal polynomials of the new modified Jacobi sequence of orderd. Our results show that the sequence is good from the viewpoint of linear complexity.

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