On the linear complexity of Legendre–Sidelnikov sequences

M Su - Designs, Codes and Cryptography, 2015 - Springer
Linear complexity is an important cryptographic index of sequences. We study the linear
complexity of p (q-1) p (q-1)-periodic Legendre–Sidelnikov sequences, which combine the …

On the d-ary Generalized Legendre-Sidelnikov Sequence

M Su - International Conference on Sequences and Their …, 2012 - Springer
Abstract We generalize the Legendre-Sidelnikov sequence to d-ary balanced sequence by
using multiplicative character, where d is a common divisor of p− 1 and q− 1; p is an odd …

On the Cross‐Correlation Distribution of d‐Ary Generalized Legendre‐Sidelnikov Sequences

P Ke, Z Ye, S Zhang, Z Chang - Chinese Journal of Electronics, 2018 - Wiley Online Library
The cross‐correlation distribution of constant multiple sequences of the d‐ary generalized
Legendre‐Sidelnikov sequences is investigated via character sums. An upper on the cross …

Autocorrelation of modified Legendre-Sidelnikov sequences

T Yan, H Liu, Y Sun - IEICE Transactions on Fundamentals of …, 2015 - search.ieice.org
Autocorrelation of Modified Legendre-Sidelnikov Sequences Page 1 IEICE TRANS.
FUNDAMENTALS, VOL.E98–A, NO.2 FEBRUARY 2015 771 LETTER Autocorrelation of …

The FM-linear Complexity of M-ary Sidel'nikov Sequences of Period p − 1 = f • Mλ

M Zeng, Y Luo, MK Song… - 2019 IEEE International …, 2019 - ieeexplore.ieee.org
The linear complexity is a measure for the unpredictability of a sequence over a finite field.
Sequences with good pseudo-random properties and large linear complexity are widely …

The second-order correlation measure of Zadoff-Chu sequences

TK Lee, JH Chung, K Yang - 2015 Seventh International …, 2015 - ieeexplore.ieee.org
For an integer r≥ 1, the rth-order correlation measure (or the correlation measure of order r)
of a sequence was introduced in cryptography as a measure of immunity against correlation …

[PDF][PDF] 双素数 Sidelnikov 序列的自相关函数

岳曌, 高军涛, 谢佳 - 电子与信息学报, 2013 - edit.jeit.ac.cn
岳曌* ① 高军涛①② 谢佳① ① (西安电子科技大学综合业务网理论及关键技术国家重点实验室
西安710071) ② (**科学院信息工程研究所北京100093) 摘要: Brandstätter 等人(2011) …

Autocorrelation of the Modified Binary Two-Prime Sidelnikov Sequence

P Ke, Z Ye, Z Zhou, J Shen - International Journal of Foundations of …, 2017 - World Scientific
Two-prime Sidelnikov sequence introduced by Brandstätter et al. in 2010 was shown to
enjoy nice pseudorandom properties. It was shown to be balanced only in the case p and q …

Autocorrelation Distribution of Binary Generalized Legendre-Sidelnikov Sequences

P KE, Z YE, Z CHANG - 电子与信息学报, 2016 - jeit.ac.cn
Compared with the original Legendre-Sidelnikov sequence, the generalized Legendre-
Sidelnikov sequence has a better balanced property. For its autocorrelation distribution …

[PDF][PDF] 一类推广的二元 Legendre-Sidelnikov 序列的自相关分布

柯品惠, 叶智钒, 常祖领 - 电子与信息学报, 2016 - edit.jeit.ac.cn
柯品惠* ① 叶智钒① 常祖领② ① (福建省网络安全与密码技术重点实验室福州350117) ②
(郑州大学数学与统计学院郑州450001) 摘要: 推广的Legendre-Sidelnikov …