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A new method for solving the linear recurrence relation with nonhomogeneous constant coefficients in some cases

Journal of Physics: Conference Series 2021年第1期2113卷

作者： Ben-Chao Yang Xue-Feng Han State Key Laboratory of Mathematical Engineering and advanced computing Zhengzhou Henan China School of mathematics and Information Science Henan Polytechnic University Jiaozuo Henan China

Recursive relation mainly describes the unique law satisfied by a sequence, so it plays an important role in almost all branches of mathematics. It is also one of the main algorithms commonly used in computer programming. This paper first introduces the concept of recursive relation and two common basic forms, then starts with the solution of linear recursive relation with non-homogeneous constant coefficients, gives a new solution idea, and gives a general proof. Finally, through an example, the general method and the new method given in this paper are compared and verified.

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Fine-grained analysis method for Android volatile memory

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IOP Conference Series: Materials Science and engineering 2020年第1期715卷

作者： Peijun Feng Qingbao Li Zhifeng Chen State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou China

Android dominates the mobile operating system market. Volatile memory analysis of Android devices has been the focus of research on mobile forensics technology. However, due to the semantic gap between the kernel and the volatile memory allocator, existing Android volatile memory analysis methods are coarse-grained. With the volatile memory capacity of Android devices increasing, these methods cannot satisfy the need of Android volatile memory analysis accuracy. In this paper, we first discuss the address space layout of Android processes and the management mechanism of Jemalloc, the default Android volatile memory allocator. Then, we bridge the semantic gap by utilizing the boundary auto alignment feature of the data structure of Jemalloc. Finally, we propose a Fine-grained Analysis Method for Android volatile Memory, called FAMAM. Experimental results shows that FAMAM has an accurate data analysis capability as well as a good robustness. In addition, we successfully use FAMAM to discover new storage patterns for username and password of Wechat.

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Interference-assisted kaleidoscopic meta-plexer for arbitrary spin-wavefront manipulation

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Light(Science & Applications) 2019年第1期8卷 1141-1150页

作者： He-Xiu Xu Guangwei Hu Ying Li Lei Han Jianlin Zhao Yunming Sun Fang Yuan Guang-Ming Wang Zhi Hao Jiang Xiaohui Ling Tie Jun Cui Cheng-Wei Qiu Department of Electrical and Computer Engineering National University of SingaporeSingapore 117583Singapore Air and Missile Defense College Air force Engineering University710051 Xi’anChina Hunan Provincial Key Laboratory of Intelligent Information Processing and Applications College of Physics and Electronics EngineeringHengyang Normal University421008 HengyangChina School of Natural and Applied Sciences Northwestern Polytechnical University710072 Xi’anChina Advanced Technique Department Key Lab of Aeronautics Computing Technique710075 Xi’anChina State Key Laboratory of Millimeter Waves Southeast University210096 NanjingChina

Achieving simultaneous polarization and wavefront control,especially circular polarization with the auxiliary degree of freedom of light and spin angular momentum,is of fundamental importance in many optical *** are typically undesirable in highly integrated photonic circuits and ***,we propose an interference-assisted metasurface-multiplexer(meta-plexer)that counterintuitively exploits constructive and destructive interferences between hybrid meta-atoms and realizes independent spin-selective wavefront *** kaleidoscopic meta-plexers are experimentally demonstrated via two types of single-layer spinwavefront multiplexers that are composed of spatially rotated anisotropic *** type generates a spinselective Bessel-beam wavefront for spin-down light and a low scattering cross-section for stealth for spin-up *** other type demonstrates versatile control of the vortex wavefront,which is also characterized by the orbital angular momentum of light,with frequency-switchable numbers of beams under linearly polarized wave *** findings offer a distinct interference-assisted concept for realizing advanced multifunctional photonics with arbitrary and independent spin-wavefront features.A variety of applications can be readily anticipated in optical diodes,isolators,and spin-Hall meta-devices without cascading bulky optical elements.

关键词： arbitrary momentum versatile

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Simulation detection based on single photon quantum key distribution protocol

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Journal of Physics: Conference Series 2021年第1期1812卷

作者： X N Liu C C Hu M J Yin L Jin State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou China School of Cyberspace and Security Information Engineering University Zhengzhou China School of Information Engineering Zhengzhou University Zhengzhou China

With the continuous development of quantum communication in recent years, quantum key distribution (QKD) has also become a key technology in the field of quantum communication. Due to the limitation of physical resources and experimental conditions, the effectiveness of different communication protocols cannot be accurately analyzed. To solve this problem, a protocol simulation method is proposed, BB84 and B92 protocols are simulated and analyzed on a classic computer by this method. On the Eclipse IDE Developers platform, the simulation program of the quantum communication protocol was written using Java language, the simulation process under the ideal environment and the eavesdropping environment was analyzed with emphasis. The simulation results show that the key distribution efficiency of BB84 is about 50% without eavesdroppers, which is much higher than 25% of B92, and the key distribution efficiency under eavesdropping conditions is about 25% and 18%. The experimental results are consistent with theoretical expectations, verifying the correctness of the protocol simulation, and also proving the feasibility of using computers for quantum communication protocol simulation.

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Network representation learning: From preprocessing, feature extraction to node embedding

arXiv

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arXiv 2021年

作者： Zhou, Jingya Liu, Ling Wei, Wenqi Fan, Jianxi Soochow University 1 Shizi street Jiangsu Suzhou215006 China Georgia Institute of Technology during May 2019 - June 2020 AtlantaGA United States State Key Laboratory of Mathematical Engineering and Advanced Computing Jiangsu Wuxi214125 China Georgia Institute of Technology 801 Atlantic Drive AtlantaGA30332 United States Soochow University 1 Shizi street Jiangsu Suzhou215006 China

Network representation learning (NRL) advances the conventional graph mining of social networks, knowledge graphs, and complex biomedical and physics information networks. Over dozens of network representation learning algorithms have been reported in the literature. Most of them focus on learning node embeddings for homogeneous networks, but they differ in the specific encoding schemes and specific types of node semantics captured and used for learning node embedding. This survey paper reviews the design principles and the different node embedding techniques for network representation learning over homogeneous networks. To facilitate the comparison of different node embedding algorithms, we introduce a unified reference framework to divide and generalize the node embedding learning process on a given network into preprocessing steps, node feature extraction steps and node embedding model training for a NRL task such as link prediction and node clustering. With this unifying reference framework, we highlight the representative methods, models, and techniques used at different stages of the node embedding model learning process. This survey not only helps researchers and practitioners to gain an in-depth understanding of different network representation learning techniques but also provides practical guidelines for designing and developing the next generation of network representation learning algorithms and systems. © 2021, CC BY.

关键词： Feature extraction

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Non-binary entanglement-assisted quantum stabilizer codes

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Science China(Information Sciences) 2017年第4期60卷 210-223页

作者： Lan LUO Zhi MA Zhengchao WEI Riguang LENG State Key Laboratory of Mathematical Engineering and Advanced Computing

In this paper, we present the pm-ary entanglement-assisted(EA) stabilizer formalism, where p is a prime and m is a positive integer. Given an arbitrary non-abelian "stabilizer", the problem of code construction and encoding is settled perfectly in the case of m = 1. The optimal number of required maximally entangled pairs is discussed and an algorithm to determine the encoding and decoding circuits is proposed. We also generalize several bounds on p-ary EA stabilizer codes, such as the BCH bound, the G-V bound and the linear programming bound. However, the issue becomes tricky when it comes to m > 1, in which case, the former construction method applies only when the non-commuting "stabilizer" satisfies a sophisticated limitation.

关键词： entanglement non-commutativity non-binary stabilizer codes quantum error-correction quantum circuits bounds

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Localization Algorithm of Indoor Wi-Fi Access Points Based on Signal Strength Relative Relationship and Region Division

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Computers, Materials & Continua 2018年第4期55卷 71-93页

作者： Wenyan Liu Xiangyang Luo Yimin Liu Jianqiang Liu Minghao Liu Yun Q.Shi State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou 450001China School of Electronics and Communication Engineering Zhengzhou University of AeronauticsZhengzhou 450001China New Jersey Institute of Technology NJUSA

Precise localization techniques for indoor Wi-Fi access points(APs)have important application in the security ***,due to the interference of environment factors such as multipath propagation and NLOS(Non-Line-of-Sight),the existing methods for localization indoor Wi-Fi access points based on RSS ranging tend to have lower accuracy as the RSS(Received Signal Strength)is difficult to accurately ***,the localization algorithm of indoor Wi-Fi access points based on the signal strength relative relationship and region division is proposed in this *** algorithm hierarchically divide the room where the target Wi-Fi AP is located,on the region division line,a modified signal collection device is used to measure RSS in two directions of each reference *** RSS values are compared and the region where the RSS value has the relative largest signal strength is located as next candidate *** location coordinate of the target Wi-Fi AP is obtained when the localization region of the target Wi-Fi AP is successively approximated until the candidate region is smaller than the accuracy *** are 360 experiments carried out in this paper with 8 types of Wi-Fi APs including fixed APs and portable *** experimental results show that the average localization error of the proposed localization algorithm is 0.30 meters,and the minimum localization error is 0.16 meters,which is significantly higher than the localization accuracy of the existing typical indoor Wi-Fi access point localization methods.

关键词： Wi-Fi access points indoor localization RSS signal strength relative relationship region division.

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A Handover Decision Algorithm Based on Evolutionary Game Theory for Space-ground Integrated Network

A Handover Decision Algorithm Based on Evolutionary Game The...

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2019 International Conference on Wireless Communication, Network and Multimedia engineering(WCNME 2019)

作者： Zhuo Yi Delong Jiang Lifeng Cao Xuehui Du State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou Institute of Information Science and Technology Troop 78123 PLA

When handovers occur to user in space-ground integrated network, handover decisions should be made to select the optimal access point. However, existing decision indexes are not suitable to handover scenarios in space-ground integrated network and overlooks the overall performance of network. To address these issues, a handover decision algorithm based on evolutionary game theory was proposed. Firstly, handover indexes were selected from aspects of link quality, network quality, load balance and user demand, and weight matrix was established. Secondly, membership function was introduced to normalize the decision indexes, and user utility function and cost function of access points were designed according to the impact of indexes on handover performance and cost. Finally, evolutionary game theory is introduced to construct a handover decision model, whose stability strategy indicates the optimal access point. Experiment results show that the algorithm can meet the seamless handover requirements, and possesses high accuracy and validity.

关键词： handover decision evoluitonary game theory stability strategy space-ground integrated network

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A Hierarchically Collaborative Ant Colony Based Assembly Algorithm for Security Protocol

A Hierarchically Collaborative Ant Colony Based Assembly Alg...

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2019 International Conference on Wireless Communication, Network and Multimedia engineering(WCNME 2019)

作者： Zhuo Yi Muming Sun Lifeng Cao Xuehui Du State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou Institute of Information Science and Technology Troop 78123 PLA

Assembly of reconfigurable security protocol remains a major challenge for deploying higher security-level but more complicated security strategies in access points with limited resources and computing abilities. To handle this problem commendably, a hierarchically collaborative ant colony-based assembly algorithm was proposed. This algorithm decomposed the security protocol assembly problem into assembling directions controlling sub-task and cryptographic components selection sub-task. Directions control generated assembly subgoals and cryptographic components selection schedules the bestfitted components for given sub-goals. Both sub-tasks adopted a modified version of ant colony algorithm to fulfil its targets. These two ant colony algorithms generate a candidate optimal solution collaboratively for the assembly problem. And a hierarchical pheromone was defined to reinforce positive behaviors of ant colony. Additionally, a Lévy theory based stochastic gradient algorithm was adopted to verify and reoptimize the optimal solution. Experiment results suggest that the proposed algorithm outperforms baseline algorithms in convergence and performance.

关键词： security protocol assembly collaborative ant colony reconfigurable security protocol space-ground integrated network decision-making

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Research on the Protection Mechanism of Cisco IOS Exploit

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Journal of Physics: Conference Series 2020年第1期1584卷

作者： Jinzhu Wang Ruijie Cai Shengli Liu State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou 450001 China

Cisco IOS is an operating system that runs on Cisco routing and switching equipment. Its security is important to the entire network. Since vulnerability attacks have become one of the main sources of threat to Cisco IOS security, it is necessary to analyze the defense mechanism of IOS against vulnerability attacks. The purpose of this paper is to find out the deficiencies of IOS vulnerability defense mechanism in time and put forward improvement methods and preventive measures. Firstly, this paper introduces the protection mechanism of Cisco IOS vulnerability, including CheckHeaps, DEP, ASLR. The principle of these mechanisms and the idea of vulnerability protection are analyzed. And then, after analyzing the shortcomings of these protection mechanisms, the basic idea of bypassing these protection mechanisms is proposed. Finally, in view of the shortcomings of Cisco IOS vulnerability defense mechanism and the proposed bypass methods, some advices about how to better protect Cisco IOS from vulnerability exploitation are given.

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