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On Algebraic Immunity of Trace Inverse Functions on Finite Fields of Characteristic Two

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Journal of Systems Science & Complexity 2016年第1期29卷 272-288页

作者： FENG Xiutao gong Guang Key Laboratory of Mathematics Mechanization Academy of Mathematics and Systems ScienceChinese Academy of Sciences State Key Laboratory of Information Security(Institute of Information Engineering Chinese Academy of Sciences) Department of Electrical and Computer Engineering University of Waterloo

The trace inverse functions Tr(λx^(-1)) over the finite field F_(2~n) are a class of very important Boolean functions and are used in many stream ciphers such as SFINKS,RAKAPOSHI,the simple counter stream cipher(SCSC) presented by Si W and Ding C(2012),*** order to evaluate the security of those ciphers in resistance to(fast) algebraic attacks,the authors need to characterize algebraic properties of Tr(λx^(-1)).However,currently only some bounds on algebraic immunity of Tr(λx^(-1)) are given in the public literature,for example,the NGG upper bound and the Bayev lower bound,*** paper gives the exact value of the algebraic immunity of Tr(λx^(-1)) over F_(2~n),that is,AI(Tr(λx^(-1))) =[2n^(1/2)]- 2,where n ≥ 2,A ∈ F_(2~n) and λ≠ 0,which shows that Dalai's conjecture on the algebraic immunity of Tr(λx^(-1)) is *** is more,the authors demonstrate some weak properties of Tr(λx^(-1)) against fast algebraic attacks.

关键词： Algebraic immunity boolean functions fast algebraic attacks trace inverse functions

Universal adversarial examples and perturbations for quantum classifiers

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National Science Review 2022年第6期9卷 48-55页

作者： Weiyuan gong Dong-Ling Deng Center for Quantum Information Institute for Interdisciplinary Information Sciences (ⅢS) Tsinghua University Shanghai Qi Zhi Institute

Quantum machine learning explores the interplay between machine learning and quantum physics, which may lead to unprecedented perspectives for both fields. In fact, recent works have shown strong evidence that quantum computers could outperform classical computers in solving certain notable machine learning tasks. Yet, quantum learning systems may also suffer from the vulnerability problem: adding a tiny carefully crafted perturbation to the legitimate input data would cause the systems to make incorrect predictions at a notably high confidence level. In this paper, we study the universality of adversarial examples and perturbations for quantum classifiers. Through concrete examples involving classifications of real-life images and quantum phases of matter, we show that there exist universal adversarial examples that can fool a set of different quantum classifiers. We prove that, for a set of k classifiers with each receiving input data of n qubits, an O(ln [k]/2~n) increase of the perturbation strength is enough to ensure a moderate universal adversarial risk. In addition, for a given quantum classifier, we show that there exist universal adversarial perturbations, which can be added to different legitimate samples to make them adversarial examples for the classifier. Our results reveal the universality perspective of adversarial attacks for quantum machine learning systems, which would be crucial for practical applications of both near-term and future quantum technologies in solving machine learning problems.

关键词： quantum machine learning quantum classifiers adversarial examples measure concentration quantum no-free-lunch theorem

Lidar observation campaigns on diurnal variations of the sodium layer in Beijing and Wuhan, China

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Science China Earth Sciences 2015年第8期58卷 1377-1386页

作者： gong ShaoHua YANG GuoTao CHENG XueWu gong Shun Sheng XU JiYao LI FaQuan gong Wei WANG JiHong School of Physics and Electronics Engineering Hainan Normal University State Key Laboratory of Space Weather National Space Science Center Chinese Academy of Sciences Laboratory of Optoelectronics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences State Key Laboratory of Information Engineering in Surveying Mapping and Remote Sensing Wuhan University

Based on observations from daytime lidars in eastern China,diurnal cycles of the sodium layer over Wuhan(30.5°N,114.6°E)and Beijing(40.5°N,116°E)are *** variations of Na density,root mean square(RMS)layer width,and centroid height of the sodium layer are *** reveal that the large diurnal cycles of the sodium layer are controlled mainly by 24-hr oscillations at the two observation *** diurnal variation of the sodium layer over Wuhan was modulated mainly by tidal perturbations during the lidar observation ***,the diurnal variation over Beijing was controlled principally by photoionization and photochemistry effects during another campaign,and there was little evidence of direct tidal *** comparisons suggest that the diurnal variation of the sodium layer perhaps has obvious regional characteristics across *** variation can be either controlled mainly by tidal perturbations or by photoionization and photochemistry effects in different seasons.

关键词： daytime lidar diurnal variations of the sodium layer photochemistry effects tidal perturbations

Cosmological constraints on ultra-light axion fields

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Research in Astronomy and Astrophysics 2020年第4期20卷 99-106页

作者： Jian-Gang Kang Yan gong gong Cheng Xuelei Chen Key Laboratory for Computational Astrophysics National Astronomical ObservatoriesChinese Academy of SciencesBeijing 100101China School of Astronomy and Space Science University of Chinese Academy of SciencesBeijing 100049China Centre for High Energy Physics Peking UniversityBeijing 100871China

Ultra-light axions(ULAs)with mass less than 10-20 eV have interesting behaviors that may contribute to either dark energy or dark matter at different epochs of the *** properties can be explored by cosmological observations,such as expansion history of the Universe,cosmic large-scale structure,cosmic microwave background,*** this work,we study the ULAs with mass around 10-33 eV,which means that the ULA field still rolls slowly at present with the equation of state w=-1 as dark *** investigate the mass and other properties of this kind of ULA field,we adopt the measurements of Type Ia supernova(SN Ia),baryon acoustic oscillation(BAO),and Hubble parameter H(z).The Markov Chain Monte Carlo(MCMC)technique is employed to perform the constraints on the ***,by exploring four cases of the model,we find that the mass of this ULA field is about 3×10-33 eV if assuming the initial axion fieldφi=*** also investigate a general case by assumingφi≤Mpl,and find that the fitting results ofφi/Mpl are consistent with or close to 1 for the datasets that we use.

关键词： cosmology dark energy cosmological parameters

Chinese Medicine Might Be A Promising Way for A Solution to Arsenic Nephrotoxicity

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Chinese Journal of Integrative Medicine 2020年第2期26卷 83-87页

作者： gong Xue-zhong Department of Nephrology Shanghai Municipal Hospital of Traditional Chinese Medicine Shanghai University of Traditional Chinese Medicine

Arsenic from environmental contamination is a risk factor for kidney disease,and the clinical use of arsenic also triggers a new concern that the potential kidney damage caused by exposure to clinical doses of arse nic trivale *** far,the un dergoi ng mecha nisms con tributi ng to arse nic n ephrotoxicity mostly remain unclear,and universally accepted methods for preventing this complication are limited *** Chinese medical scientists recognized the toxicity of arsenic long ago,and there were some records of Chinese herbs against arsenic poisoning in ancient books of Chinese *** the past decade,several herbal formulations,as well as some potentially active compounds extracted from Chinese herbs,have been employed to prevent arsenic nephrotoxicity both in vivo and in vitro and showed better therapeutic *** present paper thus summarizes and discusses these Chinese medicine methods in preventing such a public health *** addition,we call for large,well-desig ned,randomized,and controlled clinical trials to be performed to further assess the efficacy and safety of these potential methods of Chinese medicine against arsenic nephrotoxicity.

关键词： arsenic nephrotoxicity Chinese medicine therapy acute kidney injury

Inhomogeneous Cauchy-Riemann equation in Octonion space

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Applied Mathematics(A Journal of Chinese Universities) 2015年第4期30卷 447-452页

作者： gong Ding-dong Department of Mathematical Science Zhejiang Sci-Tech University

The integral representation of differentiable functions in Octonion space is obtained and the explicit solution of the inhomogeneous Cauchy-Riemann equation is given by integral representation. As an application, the ... 详细信息

关键词： Octonion integral representation of differentiable functions inhoraogeneous Cauchy-RiemannEquation Cousin problem.

On the Density of Integers of the Form 2~k + p in Arithmetic Progressions

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Acta Mathematica Sinica,English Series 2010年第1期26卷 155-160页

作者： Xue gong SUN Department of Mathematics and Science Huai Hai Institute of Technology Lian Yun Gang 222005 P. R. China Department of Mathematics Nanjing Normal University Nanjing 210097 P. R. China

Consider all the arithmetic progressions of odd numbers, no term of which is of the form 2^k ＋ p, where k is a positive integer and p is an odd prime. ErdSs ever asked whether all these progressions can be obtained from covering congruences. In this paper, we characterize all arithmetic progressions in which there are positive proportion natural numbers that can be expressed in the form 2^k ＋ p, and give a quantitative form of Romanoff＇s theorem on arithmetic progressions. As a corollary, we prove that the answer to the above Erdos problem is affirmative.

关键词： covering system Romanoff's theorem arithmetic progression

Lightweight innovation ADIs help development of renewable energy and new technology industries in China

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China Foundry 2024年第5期21卷 507-515页

作者： Qi-dong Yan Xu-dong gong Wen-bang gong Jin-cheng Liu ADI Committee of China Foundry Association Beijing 100000China Yuzhou Henglilai New Materials Co. Ltd.Xuchang 452570HenanChina Kunshan Changjian Foundry Industry Co.Ltd. Kunshan 215311JiangsuChina School of Mechanical Engineering and Automation Wuhan Textile UniversityWuhan 430200China WFO Ferrous Metals Commission Shenyang 110022China

The world is undergoing profound changes in energy and *** are vigorously developing new sustainable energy sources and *** energy sources encompass various technologies such as wind turbines,solar energy,nuclear energy,and ***,emerging technology fields include new energy vehicles,robots,and artificial intelligence devices,among *** renewable energy industries and implementation of new technologies necessitate the development and adoption of new equipment and *** ductile iron(ADI)is renowned for its unique microstructure and superior *** utilizing ADI,lightweight and innovative castings can be designed to not only reduce weight but also save energy and decrease *** importantly,these castings enhance the efficiency and reliability of new energy equipment and emerging technology *** paper describes the development,applications,and future prospects of lightweight and innovative ADI castings within sectors such as solar photovoltaic(PV),wind power generation,industry robots,and trucks in China.

关键词： lightweight ADI renewable energy emission reduction

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重庆七星岗地区边界空间设计研究

华中建筑 2025年第1期43卷 80-84页

作者：台文彬刘塨华侨大学建筑学院

边界是两类空间发生联系的介质,边界空间的重塑对城市更新的效果有显著的推动作用。重庆七星岗以繁多而独特的边界空间给人深刻印象,但这些公共空间活力普遍较低,如何进一步保留、发扬山城特色,消除边界带来的不利影响,是目前亟待研究... 详细信息

边界是两类空间发生联系的介质,边界空间的重塑对城市更新的效果有显著的推动作用。重庆七星岗以繁多而独特的边界空间给人深刻印象,但这些公共空间活力普遍较低,如何进一步保留、发扬山城特色,消除边界带来的不利影响,是目前亟待研究的问题。探索七星岗地区边界空间的设计策略,结合现状特征提出两点设计原则:保留积极的边界属性、弱化消极的边界分隔,结合边界效应提出三点设计方法,总结三点设计策略:深化边界空间设计、平衡“隔绝”与“连接”、发扬场地特征,以期促进该地区的社区活化与城市更新。

关键词：边界空间重庆七星岗空间设计