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Topological phase transition in Sb-doped Mg3Bi2 monocrystalline thin films

Physical Review B 2021年第12期103卷 125405-125405页

作者： Tong Zhou Mingyu Tong Yun Zhang Xiangnan Xie Zhen-Yu Wang Tian Jiang Xie-Gang Zhu Xin-Chun Lai Science and Technology on Surface Physics and Chemistry Laboratory Jiangyou 621908 Sichuan People's Republic of China State Key Laboratory of High Performance Computing College of Computer National University of Defense Technology Changsha 410073 People's Republic of China Beijing Institute for Advanced Study National University of Defense Technology Beijing 100020 People's Republic of China Institute of Materials China Academy of Engineering Physics Mianyang 621700 Sichuan People's Republic of China College of Advanced Interdisciplinary Studies National University of Defense Technology Changsha 410073 People's Republic of China National Innovation Institute of Defense Technology Academy of Military Sciences PLA China Beijing 100010 People's Republic of China Beijing Academy of Quantum Information Sciences Beijing 100193 People's Republic of China

Mg3Bi2 has been proved to be a semimetal with topological surface states (referred to as a topological semimetal, TSM) in the presence of spin-orbit coupling (SOC), and predicted to be a type-II nodal line semimetal (NSM) in the absence of SOC. It is possible to tune the effective SOC in Mg3Bi2 by substituting the heavy Bi atom with lighter atoms, such as Sb or As, which results in topological phase transitions. Here in our work we investigate the evolution of the transport properties and band structures of Mg3Bi2 by doping different concentrations of Sb through molecular beam epitaxy. Our results demonstrate the existence of phase transitions of TSM to trivial semimetal (SM) and SM to trivial insulator, with Sb concentration x at x1≈0.44–0.64 and x2≈1.39, respectively. Further theoretical calculations give values of x1≈0.523 and x2≈1.10, which agrees well with our experimental results. And all these results are concluded into a Mg3Bi2−xSbx phase diagram. Our work will stimulate more explorations to the possibilities of the realization of type-II NSM in Mg3Bi2 by various elements substitution.

关键词： Surface states Topological materials Topological phase transition Weak antilocalization Angle-resolved photoemission spectroscopy

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Design and Implementation of a Portable Laser Calibration System for LHAASO-WFCTA 38

Design and Implementation of a Portable Laser Calibration Sy...

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38th International Cosmic Ray Conference, ICRC 2023

作者： Yuan, Guotao Sun, Qinning Jin, Min Xia, Junji Liu, Jing Min, Zhen Zhu, Fengrong Chen, Long Wang, Yang Liu, Yu Zhang, Yong Cao, Zhen Aharonian, F. An, Q. Axikegu Bai, L.X. Bai, Y.X. Bai, L.X. Bai, Y.X. Bao, Y.W. Bastieri, D. Bi, X.J. Bi, Y.J. Cai, H. Cai, J.T. Cao, Zhe Chang, J. Chang, J.F. Chen, B.M. Chen, E.S. Chen, J. Chen, Liang Chen, Liang Chen, Long Chen, M.J. Chen, M.L. Chen, Q.H. Chen, S.H. Chen, S.Z. Chen, T.L. Chen, X.L. Chen, Y. Cheng, N. Cheng, Y.D. Cui, S.W. Cui, X.H. Cui, Y.D. D’Ettorre Piazzoli, B. Dai, B.Z. Dai, H.L. Dai, Z.G. Danzengluobu della Volpe, D. Dong, X.J. Duan, K.K. Fan, J.H. Fan, Y.Z. Fan, Z.X. Fang, J. Fang, K. Feng, C.F. Feng, L. Feng, S.H. Feng, Y.L. Gao, B. Gao, C.D. Gao, L.Q. Gao, Q. Gao, W. Ge, M.M. Geng, L.S. Gong, G.H. Gou, Q.B. Gu, M.H. Guo, F.L. Guo, J.G. Guo, X.L. Guo, Y.Q. Guo, Y.Y. Han, Y.A. He, H.H. He, H.N. He, J.C. He, S.L. He, X.B. He, Y. Heller, M. Hor, Y.K. Hou, C. Hu, H.B. Hu, S. Hu, S.C. Hu, X.J. Huang, D.H. Huang, Q.L. Huang, W.H. Huang, X.T. Huang, X.Y. Huang, Z.C. Ji, F. Ji, X.L. Jia, H.Y. Jiang, K. Jiang, Z.J. Jin, C. Ke, T. Kuleshov, D. Levochkin, K. Li, B.B. Li, Cheng Li, Cong Li, F. Li, H.B. Li, H.C. Li, H.Y. Li, J. Li, K. Li, W.L. Li, X.R. Li, Xin Li, Xin Li, Y. Li, Y.Z. Li, Zhe Li, Zhuo Liang, E.W. Liang, Y.F. Lin, S.J. Liu, B. Liu, C. Liu, D. Liu, H. Liu, H.D. Liu, J. Liu, J.L. Liu, J.S. Liu, J.Y. Liu, M.Y. Liu, R.Y. Liu, S.M. Liu, W. Liu, Y. Liu, Y.N. Liu, Z.X. Long, W.J. Lu, R. Lv, H.K. Ma, B.Q. Ma, L.L. Ma, X.H. Mao, J.R. Masood, A. Min, Z. Mitthumsiri, W. Montaruli, T. Nan, Y.C. Pang, B.Y. Pattarakijwanich, P. Pei, Z.Y. Qi, M.Y. Qi, Y.Q. Qiao, B.Q. Qin, J.J. Ruffolo, D. Rulev, V. Sáiz, A. Shao, L. Shchegolev, O. Sheng, X.D. Shi, J.Y. Song, H.C. Stenkin, Yu.V. School of Physical Science and Technology Southwest Jiaotong University Sichuan Province Chengdu611756 China Key Laboratory of Particle Astrophyics Experimental Physics Division Computing Center Institute of High Energy Physics Chinese Academy of Sciences Beijing100049 China TIANFU Cosmic Ray Research Center Institute of HighEnergy Physics Chinese Academy of Sciences Sichuan Province Chengdu610000 China University of Chinese Academy of Sciences Beijing100049 China TIANFU Cosmic Ray Research Center Sichuan Chengdu China Dublin Institute for Advanced Studies 31 Fitzwilliam Place Dublin 2 Ireland Max-Planck-Institut for Nuclear Physics P.O. Box 103980 Heidelberg69029 Germany State Key Laboratory of Particle Detection and Electronics China University of Science and Technology of China Anhui Hefei230026 China School of Physical Science and Technology School of Information Science and Technology Southwest Jiaotong University Sichuan Chengdu610031 China College of Physics Sichuan University Sichuan Chengdu610065 China School of Astronomy and Space Science Nanjing University Jiangsu Nanjing210023 China Center for Astrophysics Guangzhou University Guangdong Guangzhou510006 China School of Physics and Technology Wuhan University Hubei Wuhan430072 China Key Laboratory of Dark Matter and Space Astronomy Purple Mountain Observatory Chinese Academy of Sciences Jiangsu Nanjing210023 China Hebei Normal University Hebei Shijiazhuang050024 China Key Laboratory for Research in Galaxies and Cosmology Shanghai Astronomical Observatory Chinese Academy of Sciences Shanghai200030 China Ministry of Education Tibet Lhasa850000 China National Astronomical Observatories Chinese Academy of Sciences Beijing100101 China Sun Yat-sen University Guangdong Zhuhai519000 China Dipartimento di Fisica dell’Università di Napoli ‘Federico II" Complesso Universitario di Monte Sant’Angelo via Cinthia Napoli80126 Italy School of Physics and Astronomy Yunnan Uni

The Wide Field of View Cherenkov Telescope Array (WFCTA), situated in the harsh environment of Daocheng, is established to investigate ultrahigh energy cosmic rays. To enhance the calibration of WFCTA, a portable laser calibration system has been developed, which provides specified energy and direction of the YAG laser. Special designs, including power system, north calibration, and rotating system, have been implemented to ensure the proper functioning of the portable laser calibration system. The aluminum alloy of the entire frame and the vibration damper provide robust anti-impact ability and safety during transportation to different observation locations. A temperature control facility has been employed to meet the operational temperature requirement of electronic equipment. Various sensors have been utilized to monitor environmental parameters, the energy of YAG laser pulses, azimuth and pitch angles, and other parameters in real-time. The auto-control program is communicated wirelessly to avoid any manual interference with the system. The field experiment results have confirmed the reliability of the system and its ability to meet the calibration requirements of WFCTA. © Copyright owned by the author(s) under the terms of the Creative Commons.

关键词： Laser safety

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The end-to-end Calibration of LHAASO-WFCTA based on Nitrogen Laser System 38

The end-to-end Calibration of LHAASO-WFCTA based on Nitrogen...

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38th International Cosmic Ray Conference, ICRC 2023

作者： Sun, Qinning Min, Zhen Liu, Hu Chen, Long Wang, Yang Zhu, Fengrong Zhang, Shoushan Cao, Zhen Aharonian, F. An, Q. Axikegu Bai, L.X. Bai, Y.X. Bai, L.X. Bai, Y.X. Bao, Y.W. Bastieri, D. Bi, X.J. Bi, Y.J. Cai, H. Cai, J.T. Cao, Zhe Chang, J. Chang, J.F. Chen, B.M. Chen, E.S. Chen, J. Chen, Liang Chen, Liang Chen, Long Chen, M.J. Chen, M.L. Chen, Q.H. Chen, S.H. Chen, S.Z. Chen, T.L. Chen, X.L. Chen, Y. Cheng, N. Cheng, Y.D. Cui, S.W. Cui, X.H. Cui, Y.D. D’Ettorre Piazzoli, B. Dai, B.Z. Dai, H.L. Dai, Z.G. Danzengluobu della Volpe, D. Dong, X.J. Duan, K.K. Fan, J.H. Fan, Y.Z. Fan, Z.X. Fang, J. Fang, K. Feng, C.F. Feng, L. Feng, S.H. Feng, Y.L. Gao, B. Gao, C.D. Gao, L.Q. Gao, Q. Gao, W. Ge, M.M. Geng, L.S. Gong, G.H. Gou, Q.B. Gu, M.H. Guo, F.L. Guo, J.G. Guo, X.L. Guo, Y.Q. Guo, Y.Y. Han, Y.A. He, H.H. He, H.N. He, J.C. He, S.L. He, X.B. He, Y. Heller, M. Hor, Y.K. Hou, C. Hu, H.B. Hu, S. Hu, S.C. Hu, X.J. Huang, D.H. Huang, Q.L. Huang, W.H. Huang, X.T. Huang, X.Y. Huang, Z.C. Ji, F. Ji, X.L. Jia, H.Y. Jiang, K. Jiang, Z.J. Jin, C. Ke, T. Kuleshov, D. Levochkin, K. Li, B.B. Li, Cheng Li, Cong Li, F. Li, H.B. Li, H.C. Li, H.Y. Li, J. Li, K. Li, W.L. Li, X.R. Li, Xin Li, Xin Li, Y. Li, Y.Z. Li, Zhe Li, Zhuo Liang, E.W. Liang, Y.F. Lin, S.J. Liu, B. Liu, C. Liu, D. Liu, H. Liu, H.D. Liu, J. Liu, J.L. Liu, J.S. Liu, J.Y. Liu, M.Y. Liu, R.Y. Liu, S.M. Liu, W. Liu, Y. Liu, Y.N. Liu, Z.X. Long, W.J. Lu, R. Lv, H.K. Ma, B.Q. Ma, L.L. Ma, X.H. Mao, J.R. Masood, A. Min, Z. Mitthumsiri, W. Montaruli, T. Nan, Y.C. Pang, B.Y. Pattarakijwanich, P. Pei, Z.Y. Qi, M.Y. Qi, Y.Q. Qiao, B.Q. Qin, J.J. Ruffolo, D. Rulev, V. Sáiz, A. Shao, L. Shchegolev, O. Sheng, X.D. Shi, J.Y. Song, H.C. Stenkin, Yu.V. Stepanov, V. Su, Y. Sun, Q.N. Southwest Jiaotong University School of Physical Science and Technology No. 999 Xi’an Road Chengdu China Institute of High Energy Physics Chinese Academy of Sciences Key Laboratory of Particle Astrophysics & Experimental Physics Division & Computing Center No. 19B Yuquan Road Beijing100049 China Institute of High Energy Physics Chinese Academy of Sciences TIANFU Cosmic Ray Research Center No. 1500 Kezhi Road Chengdu China University of Chinese Academy of Sciences Beijing100049 China TIANFU Cosmic Ray Research Center Sichuan Chengdu China Dublin Institute for Advanced Studies 31 Fitzwilliam Place Dublin 2 Ireland Max-Planck-Institut for Nuclear Physics P.O. Box 103980 Heidelberg69029 Germany State Key Laboratory of Particle Detection and Electronics China University of Science and Technology of China Anhui Hefei230026 China School of Physical Science and Technology School of Information Science and Technology Southwest Jiaotong University Sichuan Chengdu610031 China College of Physics Sichuan University Sichuan Chengdu610065 China School of Astronomy and Space Science Nanjing University Jiangsu Nanjing210023 China Center for Astrophysics Guangzhou University Guangdong Guangzhou510006 China School of Physics and Technology Wuhan University Hubei Wuhan430072 China Key Laboratory of Dark Matter and Space Astronomy Purple Mountain Observatory Chinese Academy of Sciences Jiangsu Nanjing210023 China Hebei Normal University Hebei Shijiazhuang050024 China Key Laboratory for Research in Galaxies and Cosmology Shanghai Astronomical Observatory Chinese Academy of Sciences Shanghai200030 China Ministry of Education Tibet Lhasa850000 China National Astronomical Observatories Chinese Academy of Sciences Beijing100101 China Sun Yat-sen University Guangdong Zhuhai519000 China Dipartimento di Fisica dell’Università di Napoli ‘Federico II" Complesso Universitario di Monte Sant’Angelo via Cinthia Napoli80126 Italy School of Physics and As

The Wide Field-of-view Cherenkov Telescope Array (WFCTA) of Large High Altitude Air Shower Observatory (LHAASO) is designed to perform nearly calorimetric measurements of extensive air showers induced by cosmic rays with energies between 1013 eV - 1018 eV. In order to achieve an end-to-end calibration of WFCTA and investigate properties of the atmospheric aerosol, five laser systems have been operated at LHAASO, including 3 nitrogen and 2 Nd:YAG laser devices. This work presents an overview of the laser signals received by the telescope and the monitoring of geometric information related to nitrogen laser events. Additionally, it introduces the simulation method for the LHAASO-WFCTA laser calibration system. Through prolonged and stable operation, a substantial amount of data has been accumulated, requiring further data analysis for the calibration of the telescope’s absolute gain and measurement of aerosol extinction coefficients. © Copyright owned by the author(s) under the terms of the Creative Commons.

关键词： Cosmology

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Terahertz Generation via Picosecond Spin-to-Charge Conversion in IrMn3/Ni−Fe Heterojunction

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Physical Review Applied 2021年第2期16卷 024058-024058页

作者： Cheng Li Bin Fang Like Zhang Qian Chen Xiangnan Xie Nuo Xu Zhongming Zeng Zhenyu Wang Liang Fang Tian Jiang Institute for Quantum Information & State Key Laboratory of High Performance Computing National University of Defense Technology Changsha 410073 China Physical Science and Engineering Division King Abdullah University of Science and Technology Thuwal 23955-6900 Saudi Arabia Suzhou Institute of Nano-Tech and Nano-Bionics CAS Suzhou 215123 China College of Electronic and Information Engineering Wuxi University Wuxi 214105 China National Innovation Institute of Defense Technology Academy of Military Sciences PLA China Beijing 100010 China Beijing Academy of Quantum Information Sciences Beijing 100193 China Beijing Institute for Advanced Studies National University of Defense Technology 100010 China

Experimental investigations of ultrafast electro-optical properties in magnetic materials manifest their great potential for emerging spintronic optoelectronic devices. Here, using time-resolved terahertz emission spectroscopy, we construct a spintronic terahertz emitter consisting of an IrMn3/Ni−Fe heterojunction. A femtosecond spin current pulse is generated in the thin film of the Ni−Fe layer when it absorbs a femtosecond laser pulse, and then the spin current is converted into a transient charge current by the metallic IrMn3 layer on picosecond timescales. We timely record the terahertz emission associated with this ultrafast conversion process by means of electro-optic sampling. Besides, the spin-to-charge conversion efficiency of the IrMn3/Ni−Fe heterojunction is determined via quantitative analysis of the spin torque ferromagnetic resonance results. We have both optically verified and electrically studied the spin-to-charge conversion of the IrMn3/Ni−Fe heterojunction. Our results enlarge the material choice range of spintronic terahertz emitters, which may promote further investigations of ultrafast spin-to-charge conversion in different heterojunction materials.

关键词： Magnetization dynamics Optical sources & detectors Optoelectronics Spin current Spin-orbit coupling Ultrafast magnetic effects Magnetic multilayers Terahertz techniques

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PET Denoising and Uncertainty Estimation Based on NVAE Model

PET Denoising and Uncertainty Estimation Based on NVAE Model

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IEEE Symposium on Nuclear Science (NSS/MIC)

作者： Jianan Cui Yutong Xie Kuang Gong Kyungsang Kim Jaewon Yang Peder Larson Thomas Hope Spencer Behr Youngho Seo Huafeng Liu Quanzheng Li State Key Laboratory of Modern Optical Instrumentation College of Optical Science and Engineering Zhejiang University Hangzhou China Center for Advanced Medical Computing and Analysis Massachusetts General Hospital/Harvard Medical School Boston MA USA Peking University Beijing China Gordon Center for Medical Imaging Massachusetts General Hospital/Harvard Medical School Boston MA USA Department of Radiology and Biomedical Imaging University of California San Francisco (UCSF) CA USA

ISBN: (数字)9781665421133

ISBN: (纸本)9781665421140

The structure of the deep neural network is constantly changing, and its performance is constantly breaking through. Recently, a new network, Nouveau variational auto-encoder (NVAE), has been proposed and gained great attention. In addition to the ability to generate high-quality images, the more important nature of NVAE is that it can generate a distribution that makes it possible to measure the uncertainty. In this work, we proposed to use NVAE for PET image denoising and estimate the uncertainty from both training data and model at the same time. 2.5D training based on 28 patients was performed and quantification based on 7 real patient data showed that NVAE has a good performance for PET denoising, which outperforms the Unet. The variance of 1000 sample output was calculated to show the uncertainty map.

关键词： Training Uncertainty Noise reduction Neural networks Measurement uncertainty Training data Brain modeling

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Experimental Evidence of Topological Surface states in Mg3Bi2 Films Grown by Molecular Beam Epitaxy

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Chinese Physics Letters 2019年第11期36卷 65-69页

作者： Tong Zhou Xie-Gang Zhu Mingyu Tong Yun Zhang Xue-Bing Luo Xiangnan Xie Wei Feng Qiuyun Chen Shiyong Tan Zhen-Yu Wang Tian Jiang Yuhua Tang Xin-Chun Lai Xuejun Yang State Key Laboratory of High Performance Computing College of ComputerNational University of Defense TechnologyChangsha 410073 Science and Technology on Surface Physics and Chemistry Laboratory Jiangyou 621908 National Innovation Institute of Defense Technology Academy of Military Sciences PLA ChinaBeijing 100010 Institute of Materials China Academy of Engineering PhysicsMianyang 621700 College of Advanced Interdisciplinary Studies National University of Defense TechnologyChangsha 410073 Academy of Military Sciences PLA China Beijing 100010 Beijing Academy of Quantum Information Sciences Beijing 100084

Nodal line semimetal(NLS) is a new quantum state hosting one-dimensional closed loops formed by the crossing of two bands. The so-called type-Ⅱ NLS means that these two crossing bands have the same sign in their slopes along the radial direction of the loop, which requires that the crossing bands are either right-tilted or left-tilted at the same time. According to the theoretical prediction, Mg3Bi2 is an ideal candidate for studying the type-Ⅱ NLS by tuning its spin-orbit coupling(SOC). High-quality Mg3 Bi2 films are grown by molecular beam epitaxy(MBE). By in-situ angle resolved photoemission spectroscopy(ARPES), a pair of surface resonance bands around theГ point are clearly seen. This shows that Mg3Bi2 films grown by MBE are Mg(1)-terminated by comparing the ARPES spectra with the first principles calculations results. Moreover, the temperature dependent weak anti-localization effect in Mg3Bi2 films is observed under magneto-transport measurements, which shows clear two-dimensional(2 D) e-e scattering characteristics by fitting with the Hikami–Larkin–Nagaoka model. Therefore, by combining with ARPES, magneto-transport measurements and the first principles calculations, this work proves that Mg3Bi2 is a semimetal with topological surface states. This paves the way for Mg3Bi2 to be used as an ideal material platform to study the exotic features of type-Ⅱ nodal line semimetals and the topological phase transition by tuning its SOC.

关键词： bands topological terminated

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Quantum Squeezing Induced Optical Nonreciprocity

arXiv

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arXiv 2021年

作者： Tang, Lei Tang, Jiangshan Chen, Mingyuan Nori, Franco Xiao, Min Xia, keyu College of Engineering and Applied Sciences National Laboratory of Solid State Microstructures Collaborative Innovation Center of Advanced Microstructures Nanjing University Nanjing210093 China RIKEN Quantum Computing Center RIKEN Cluster for Pioneering Research Saitama Wako-shi351-0198 Japan Physics Department The University of Michigan Ann ArborMI48109-1040 United States Department of Physics University of Arkansas FayettevilleAR72701 United States Jiangsu Key Laboratory of Artificial Functional Materials Nanjing University Nanjing210023 China

We propose an all-optical approach to achieve optical nonreciprocity on a chip by quantum squeezing one of two coupled resonator modes. By parametric pumping a nonlinear resonator unidirectionally with a classical coherent field, we squeeze the resonator mode in a selective direction due to the phase-matching condition, and induce a chiral photon interaction between two resonators. Based on this chiral interresonator coupling, we achieve an all-optical diode and a three-port quasi-circulator. By applying a second squeezed-vacuum field to the squeezed resonator mode, our nonreciprocal device also works for single-photon pulses. We obtain an isolation ratio of > 40 dB for the diode and fidelity of > 98% for the quasi-circulator, and insertion loss of © 2021, CC BY.

关键词： Particle beams

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On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers

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Science China(Information Sciences) 2017年第5期60卷 84-95页

作者： Yupeng JIANG Qun-Xiong ZHENG Dongdai LIN State Key Laboratory of Information Security Institute of Information EngineeringChinese Academy of Sciences State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou Information Science and Technology Institute

Let Z/（p;） be the integer residue ring modulo pewith p an odd prime and e 2. We consider the suniform property of compressing sequences derived from primitive sequences over Z/（p;）. We give necessary and sufficient conditions for two compressing sequences to be s-uniform with α provided that the compressing map is of the form φ(x;, x;,..., x;) = g(x;) + η(x;, x;,..., x;), where g(x;) is a permutation polynomial over Z/（p） and η is an（e-1）-variable polynomial over Z/（p）.

关键词： compressing map linear recurring sequence primitive sequence permutation polynomial s uniform

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Improvement in Diversify Active Defense for Web Application by Using Language and Database Heterogeneity 11

Improvement in Diversify Active Defense for Web Application ...

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2017 11th IEEE International Conference on Anti-counterfeiting,Security,and Identification(ASID)

作者： Weichao Li Zheng Zhang Liqun Wang State Key Laboratory of Mathematical Engineering and Advanced Computing

ISBN: (纸本)9781538605349;9781538605332

According to OWASP selected web application Top 10 vulnerabilities in 2013 and 2017,structured query language(SQL)injection is consistently ranked the 1 ***,the protection of SQL injection,which is one of the most prevalent and pernicious security issues,requires ***,there are numerous unknown vulnerabilities and potential threats in *** this case,the active defense based on structural diversity can play an effective role to prevent the hacker from exploiting known or unknown *** on the basis of structural diversity,we propose a modified method,heterogeneous language,combined with heterogeneous database in data storage layer,to establish an active defense model for data *** empirically assess the impact of the vulnerability and conclude by testing the accuracy and performance,showing that our security model can not suffer from the same vulnerability as the unprotected ***,the future work and research direction are discussed.

关键词： Cyberspace security Active defence Heterogeneity Web application Database SQL labeling

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Analysis of GLV/GLS method for elliptic curve scalar multiplication 6th

Analysis of GLV/GLS method for elliptic curve scalar multipl...

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6th International Conference on Frontier computing, FC 2017

作者： Dou, Yunqi Weng, Jiang Ma, Chuangui Wei, Fushan State key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou China Information and Navigation College Air Force Engineering University Xi’an China Department of Basic Army Aviation Institution Beijing China

ISBN: (纸本)9789811073977

GLV method is an important research direction to accelerate the scalar multiplication on classes of elliptic curves with efficiently computable endomorphisms, which can reduce the number of doublings by using Straus-Shamir simultaneous multi-scalar multiplication technique. Researchers explore to generalize the method to higher dimension, and then evaluate the effect of accelerating the scalar multiplication. In this paper, we consider various multi-scalar multiplication algorithms, and analyze the computational cost of scalar multiplication under different dimensions to select the optimal multi-scalar multiplication algorithm and parameters. On this basis, the multi-scalar multiplication algorithm is applied to the GLV method, and the computational cost of scalar multiplication is analyzed. Higher dimension usually means fewer doublings, but more precomputation, there is a trade-off. The analysis results show that the limit of GLV method to accelerate the scalar multiplication is dimension 8, and the GLV method will lose its effect of speedup for higher dimension. In particular, dimension 3 or 4 may be the optimal choice for the case that resource constrained or the cost of endomorphism is large. © 2018, Springer Nature Singapore Pte Ltd.

关键词： Economic and social effects

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