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On the Linear Complexity of New Generalized Cyclotomic Binary sequences of Order Two and Period pqr

Tsinghua Science and Technology 2016年第3期21卷 295-301页

作者： Longfei Liu Xiaoyuan Yang Xiaoni Du Bin Wei Key Laboratory of Network & Information Security of APF Engineering College of APF College of Mathematics and Statistics Northwest Normal University

Periodic sequences over finite fields, constructed by classical cyclotomic classes and generalized cyclotomic classes, have good pseudorandom properties. The linear complexity of a period sequence plays a fundamental role in the randomness of sequences. Let p, q, and r be distinct odd primes with gcd（p-1, q-1 ）=gcd（p- 1, r-1）=gcd（q-1, r-1）=2. In this paper, a new class of generalized cyclotomic sequence with respect to pqr over GF（2） is constructed by finding a special characteristic set. In addition, we determine its linear complexity using cyclotomic theory. Our results show that these sequences have high linear complexity, which means they can resist linear attacks.

关键词： stream cipher pseudorandom sequence generalized cyclotomy linear complexity

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5D Hyper-Chaotic System with Multiple Types of Equilibrium Points

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Journal of Shanghai Jiaotong university(Science) 2020年第5期25卷 639-649页

作者： XU Changbiao WU Xia HE Yinghui MO Yunhui School of Communication and Information Engineering Chongqing University of Posts and TelecommunicationsChongqing 400065China School of Optoelectronic Engineering Chongqing University of Posts and TelecommunicationsChongqing 400065China

A chaotic system with various equilibrium types has rich dynamic *** state can switch flexibly among different families of attractors,which is beneficial to the practical *** it has been widely concerned in recent *** this paper,a new 5D hyper-chaotic system is *** important characteristic of the system is that it may have multiple types of equilibrium points by changing system parameters,namely,linear equilibrium point,no equilibrium point,non-hyperbolic unstable equilibrium point and stable hyperbolictype equilibrium ***,there are hyper-chaotic phenomena and multi-stability about the coexistence of multiple chaotic attractors and the coexistence of hyper-chaotic attractors and chaotic attractors in the *** addition,the system,complexity is *** is found that the complexity is close to 1 in the hyper-chaotic state and a pseudo-random sequence generated by the system passes all the statistical ***,an analog circuit of the system is designed and simulated.

关键词： hyper-chaos equilibrium point multi-stability pseudorandom sequence chaotic circuit

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On the Largest Linear Span of Binary sequences with Period p^2 from Interleaved Construction

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Wuhan University Journal of Natural Sciences 2008年第6期13卷 707-711页

作者： LI Shenghua ZENG Xiangyong HU Lei Faculty of Mathematics and Computer Science Hubei University Wuhan 430062 Hubei China State Key Laboratory of Information Security/Graduate University of Chinese Academy of Sciences Beijing 100049 China

Let S be a family of binary sequences constructed from interleaved construction. The linear spans of binary sequences in S are studied in this paper. In order to achieve the largest linear span, a criterion is presented for the base sequences with periodp, where p is a prime and 2 is a primitive root modulop2. It is shown that any sequence in S has the largest linear span under the criterion. Moreover, such base sequences can be chosen easily.

关键词： pseudorandom sequence low correlation interleaved constructions linear span

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