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Simple Method for Realizing Weil Theorem in Secure ECC Generation

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Tsinghua Science and Technology 2017年第5期22卷 511-519页

作者： Feng Hu chao wang Huanguo Zhang Jie Wu the Key Laboratory of Specialty Fiber Optics and Optical Access Networks School of Communication and Information EngineeringShanghai University the Department of Computer and Information Sciences Temple University the Key Lab of Aerospace Information Security and Trusted Computing Wuhan University

How to quickly compute the number of points on an Elliptic Curve （EC） has been a longstanding challenge. The computational complexity of the algorithm usually employed makes it highly inefficient. Unlike the general EC, a simple method called the Weil theorem can be used to compute the order of an EC characterized by a small prime number, such as the Kobltiz EC characterized by two. The fifteen secure ECs recommended by the National Institute of Standards and Technology （NIST） Digital Signature Standard contain five Koblitz ECs whose maximum base domain reaches 571 bits. Experimental results show that the computation speed decreases for base domains exceeding 600 bits. In this paper, we propose a simple method that combines the Weil theorem with Pascals triangle, which greatly reduces the computational complexity. We have validated the performance of this method for base fields ranging from 2l^100 to 2^1000. Furthermore, this new method can be generalized to any ECs characterized by any small prime number.

关键词： Elliptic Curves (ECs) Pascal's triangle Weil theorem

Evolutionary Cryptography Theory-Based Generating Method for Secure ECs

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Tsinghua Science and Technology 2017年第5期22卷 499-510页

作者： chao wang Feng Hu Huanguo Zhang Jie Wu the Key Laboratory of Specialty Fiber Optics and Optical Access Networks School of Communication and Information EngineeringShanghai University the Department of Computer and Information Sciences Temple University the Key Lab of Aerospace Information Security and Trusted Computing Wuhan University

Ant Colony Optimization （AGO） has the character of positive feedback, distributed searching, and greedy searching. It is applicable to optimization grouping problems. Traditional cryptographic research is mainly based on pure mathematical methods which have complicated theories and algorithm. It seems that there is no relationship between cryptography and ACO. Actually, some problems in cryptography are due to optimization grouping problems that could be improved using an evolutionary algorithm. Therefore, this paper presents a new method of solving secure curve selection problems using ACO. We improved Complex Multiplication （CM） by combining Evolutionary Cryptography Theory with Weber polynomial solutions. We found that ACO makes full use of valid information generated from factorization and allocates computing resource reasonably. It greatly increases the performance of Weber polynomial solutions. Compared with traditional CM, which can only search one root once time, our new method searches all roots of the polynomial once, and the average time needed to search for one root reduces rapidly. The more roots are searched, the more ECs are obtained.

关键词： ECs Weber polynomial evolutionary algorithm ant algorithm complex multiplication

Discussion on the sweep efficiency of hybrid steam-chemical process in heavy oil reservoirs: An experimental study

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Petroleum Science 2022年第6期19卷 2905-2921页

作者： Xiao-Hu Dong Xiu-chao Jiang Wei Zheng Hui-Qing Liu Ren-Jie Liu Wu-chao wang De-Shang Zeng Tai-chao wang State Key Laboratory of Petroleum Resources and Prospecting China University of PetroleumBeijing102249China State Key Laboratory of Offshore Oil Exploitation Beijing100028China

Non-condensable gas(NCG),foam and surfactant are the three commonly-used additives in hybrid steam-chemical processes for heavy oil *** application can effectively control the steam injection profile and increase the sweep *** this paper,the methods of microscale visualized experiment and macroscale 3D experiment are applied to systematically evaluate the areal and vertical sweep efficiencies of different hybrid steam-chemical ***,a series of static tests are performed to evaluate the effect of different additives on heavy oil ***,by a series of tests on the microscale visualized model,the areal sweep efficiencies of a baseline steam flooding process and different follow-up hybrid EOR processes are obtained from the collected 2D ***,they include the hybrid steam-N_(2)process,hybrid steam-N2/foam process,hybrid steam-surfactant process and hybrid steam-N2/foam/surfactant process(N2/foam slug first and steam-surfactant co-injection then).From the results of static tests and visualized micromodels,the pore scale EOR mechanisms and the difference between them can be *** the vertical sweep efficiencies,a macroscale 3D experiment of steam flooding process and a follow-up hybrid EOR process is ***,combing the macroscale 3D experiment and laboratory-scaled numerical simulation,the vertical and overall sweep efficiencies of different hybrid steam-chemical processes are *** indicate that compared with a steam flooding process,the areal sweep efficiency of a hybrid steam-N2process is *** is caused by the high mobility ratio in a steam-N2-heavy oil *** contrast,the enhancement of sweep efficiency by a hybrid steam-N2/foam/surfactant process is the *** is because of the high resistance capacity of NCG foam system and the performance of ***,a surfactant can interact with the oil film in chief zone and reduce the interfacial energy,and thus

关键词： Heavy oil reservoirs Visualized model Scaled 3D model Sweep efficiency Hybrid EOR process Multicomponent and multiphase fluids

Order Execution Probability and Order Queue in Limit Order Markets

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Journal of Systems Science & Complexity 2020年第5期33卷 1545-1557页

作者： ZHANG Qiang wang chao LIU Shancun YANG Yaodong School of Economics and Management Beijing University of ChemicnlTechnologyBeijing 100029China School of Economics and Management Beijing University of Chemicnl'TechnologyBeijing 100029China Unversity College London Gower StreetLondon WCIE 6BTUK

The shaping of a limit order book illustrates the dynamics of the trading process,the changing pattern of the execution probability of limit orders therefore plays an important *** paper presents a computable execution probability model for limit order market,as well as a numerical example that intuitively characterizes the changing pattern of the execution *** common effects of the lengths of both buy and sell queues on the execution probability are *** the limit book,the cumulative probability of limit orders is introduced as a crucial index of market depth to describe the shaping process which brings new insights into the structure of the order placement decision.

关键词： Cumulative execution probability execution probability limit order limit order book market order

Large electric field-induced strain in the novel BNKTAN-BNBLTZ lead-free ceramics

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Journal of Materials Science & Technology 2020年第10期42卷 15-22页

作者： chao wang Qiang Li Weiming Zhang Huiqing Fan State Key Laboratory of Solidification Processing School of Materials Science and EngineeringNorthwestern Polytechnical UniversityXi'an 710072China

(1-x)Bi0.5(Na0.82K0.18)0.5Ti0.96(Al0.5Nb0.5)0.04O3-xBi0.46Na0.46Ba0.5La0.02Ti0.97Zr0.03O3 lead-free ceramics(abbreviated as BNKTAN-100x BNBLTZ)was prepared by the conventional solid *** patterns and EDS spectrums revealed that a stable solid solution had been formed between BNBLTZ and *** the introduction of BNBLTZ anti-ferroelectric content,BNKTAN relaxor ferroelectrics exhibited the excellent field-induced-strain for x=0.04 corresponding to electric field-induced strain S^0.505%and normal strain d33*~777 pm/V at 65 kV/*** large strain response was attributed to the emergence of PNRs in the relaxation ***,an excellent fatigue resistance performance was obtained within 105cycles(S=0.505%–0.495%and d33*=777–758 pm/V,65 kV/cm).It suggested that prepared ceramics had the great potential to strain sensor and actuators.

关键词： BNT-based ceramics Ferroelectric properties Strain Fatigue resistance

Deciphering a Million-Plus RSA Integer with Ultralow Local Field Coefficient h and Coupling Coefficient J of the Ising Model by D-Wave 2000Q

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Tsinghua Science and Technology 2024年第3期29卷 874-882页

作者： chao wang Qiaoyun Hu Haonan Yao Sumin wang Zhi Pei Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication Shanghai UniversityShanghai 200444China

This work is the first to determine that a real quantum computer(including generalized and specialized)can decipher million-scale RSA relying solely on quantum algorithms,showing the real attack potential of D-Wave *** influence of different column widths on RSA factorization results is studied on the basis of a multiplication table,and the optimal column method is determined by traversal *** traversal experiment of integer factorization within 10000 shows that the local field and coupling coefficients are 75%–93%lower than the research of Shanghai University in 2020 and more than 85%lower than that of Purdue University in *** low Ising model parameters are crucial to reducing the hardware requirements,prompting factoring 1245407 on the D-Wave 2000Q real machine.D-Wave advantage already has more than 5000 qubits and will be expanded to 7000 qubits during 2023–2024,with remarkable improvements in decoherence and *** machine is expected to promote the solution of large-scale combinatorial optimization *** of the contributions of this paper is the discussion of the long-term impact of D-Wave on the development of post-quantum cryptography standards.

关键词： quantum annealing RSA D-Wave 2000Q post-quantum cryptography

Determination of Water Diffusion Coefficients and Dynamics in Adhesive/Carbon Fiber Reinforced Epoxy Resin Composite Joints

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Chemical Research in Chinese Universities 2007年第4期23卷 474-478页

作者： wang chao wang zhi wang Jing SU Tao Heilongiang Petrochemistry Institute Harbin 150040 P. R. China Key Laboratory of Molecular Enzymology and Engineering of Ministry of Education Jilin University Changchun 130023 P. R. China

To determinate the water diffusion coefficients and dynamics in adhesive/carben fiber reinforced epoxy resin composite joints, energy dispersive X-ray spectroscopy analysis（EDX） is used to establish the content change of oxy- gen in the adhesive in adhesive/carbon fther reinforced epoxy resin composite joints. As water is made up of oxygen and hydrogen, the water diffusion coefficients and dynamics in adhesive/carben fiber reinforced epoxy resin composite joints can be obtained from the change in the content of oxygen in the adhesive during humidity aging, via EDX analy-sis. The authors have calculated the water diffusion coefficients and dynamics in the adhesive/carbon fiber reinforced epoxy resin composite joints with the aid of beth energy dispersive X-ray spectroscopy and elemental analysis. The de- termined results with EDX analysis are almost the same as those determined with elemental analysis and the results al- so show that the durability of the adhesive/carbon fther reinforced epoxy resin composite joints subjected to silane cou- pling agent treatment is better than those subjected to sand paper burnishing treatment and chemical oxidation treat- ment.

关键词： Diffusion coefficient Dynamics Energy dispersive X-ray spectroscopy Elemental analysis Adhesive/ carbon fiber reinforced epoxy resin composites joint

Analytical current model of tunneling field-effect transistor considering the impacts of both gate and drain voltages on tunneling

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Science China(Information Sciences) 2015年第2期58卷 174-181页

作者： wang chao WU ChunLei wang JiaXin HUANG QianQian HUANG Ru Key Laboratory of Microelectronic Devices and Circuits Institute of Microelectronics Peking University

In this paper, a closed-form current model for bulk tunneling field-effect transistor(TFET) is put forward. Based on the operation mechanism, the channel surface potential φsf which involves the impact of both the gate and the drain voltages is established for the first time. In addition, a new calculation method for the dynamic tunneling width, which is the critical parameter for the TFET modeling, is derived from the surface potential. The surface-potential-based current model is established which is in a good agreement with TCAD simulation results.

关键词： tunneling field-effect transistor current model surface potential drain voltage tunneling width

Implementation of Balanced Strength and Toughness of VW93A Rare-Earth Magnesium Alloy with Regulating the Overlapping Structure of Lamellar LPSO Phase and β′Phase

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Acta Metallurgica Sinica(English Letters) 2024年第10期37卷 1735-1751页

作者： chao wang Xi Zhao Yayun He Dingxia Zheng School of Aerospace Engineering North University of ChinaTaiyuan030051China School of Mechanical and Electrical Engineering North University of ChinaTaiyuan030051China

Although extensive research has been conducted on the strengthening mechanism of rare-earth magnesium alloys,achieving a balance between strength and toughness has proven *** paper introduces a method for regulating the overlapping structure of the lamellar long-period stacking ordered(LPSO)phase andβ′phase to achieve a balance between strength and toughness in the *** focusing on the extruded VW93A alloy cabin component,the study delves into the mechanism of the alloy's strength and toughness through a comparative analysis of the microstructure characteristics and room-temperature mechanical properties of the alloys in various ***,the molecular dynamics simulation is employed to clarify the mechanism of the alloy's strength and toughness balance induced by the overlapping *** findings reveal that when theβ′phase precipitates in the alloy alone,a significant increase in strength is achieved by pinning dislocations,albeit at the expense of reduced ***,the presence of the lamellar LPSO phase disperses dislocations between the LPSO phase lamellae,thereby enhancing plasticity by avoiding stress concentration resulting from dislocation *** both phases coexist in the alloy and form an overlapping structure,the dispersion of dislocations due to the lamellar LPSO phase weakens the pinning effect of theβ′phase,further reducing dislocation stacking and resulting in a balance of strength and toughness in the ***,the alloy with the overlapping structure exhibits an ultimate tensile strength and elongation of 421 MPa and 20.1%,respectively.

关键词： Extrusion Rare-earth magnesium alloys Cabin component Long-period stacking ordered(LPSO)phase β'phase Molecular dynamics simulations