On the Linear Complexity of New Modified Jacobi Sequences

Qiuyan WANG; Yupeng JIANG; Dongdai LIN; Xuan GUANG

doi:10.1587/transfun.E97.A.2263

On the Linear Complexity of New Modified Jacobi Sequences

Qiuyan WANG, Yupeng JIANG, Dongdai LIN, Xuan GUANG

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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 order d. Our results show that the sequence is good from the viewpoint of linear complexity.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.11 pp.2263-2266

Publication Date: 2014/11/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E97.A.2263

Type of Manuscript: LETTER

Category: Cryptography and Information Security

Authors

Qiuyan WANG
  Chinese Academy of Sciences
Yupeng JIANG
  Chinese Academy of Sciences
Dongdai LIN
  Chinese Academy of Sciences
Xuan GUANG
  Nankai University

Keyword

cyclotomy, sequences, linear complexity, minimal polynomials

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Qiuyan WANG, Yupeng JIANG, Dongdai LIN, Xuan GUANG, "On the Linear Complexity of New Modified Jacobi Sequences" in IEICE TRANSACTIONS on Fundamentals, vol. E97-A, no. 11, pp. 2263-2266, November 2014, doi: 10.1587/transfun.E97.A.2263.
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 order d. Our results show that the sequence is good from the viewpoint of linear complexity.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2263/_p

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@ARTICLE{e97-a_11_2263,
author={Qiuyan WANG, Yupeng JIANG, Dongdai LIN, Xuan GUANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Linear Complexity of New Modified Jacobi Sequences},
year={2014},
volume={E97-A},
number={11},
pages={2263-2266},
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 order d. Our results show that the sequence is good from the viewpoint of linear complexity.},
keywords={},
doi={10.1587/transfun.E97.A.2263},
ISSN={1745-1337},
month={November},}

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TY - JOUR
TI - On the Linear Complexity of New Modified Jacobi Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2263
EP - 2266
AU - Qiuyan WANG
AU - Yupeng JIANG
AU - Dongdai LIN
AU - Xuan GUANG
PY - 2014
DO - 10.1587/transfun.E97.A.2263
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2014
AB - 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 order d. Our results show that the sequence is good from the viewpoint of linear complexity.
ER -