Security Analysis of Discrete Logarithm Based Cryptosystems

0 IntroductionNowthere are many well known cryptosystems based ondiscrete logarithms , such as the ElGamal cryptosys-tem[1]and the digital signature algorithm(DSA)[2]. Discretelogarithms have many advantages . Breaking the discrete log-arithm modulo pri mepappears to be somewhat harder thanfactoringintegern,and elliptic curve cryptosystems may usemuchsmaller keysizesthan RSA-basedcryptosystems of com-parable security.The discrete logarithmproblemover a group can be bro-ken down into a numb…     

The harmonic decomposition reconstruction for the exponential radon transform

The exponential Radon transform, a generalization of the Radon transform, is defined and studied as a mapping of function spaces. It is represented in terms of Fourier transform of its domain and range, and this leads to the harmonic decomposition reconstruction. The results are similar results of Tretiak and Metz. Foundation item: Supported by the National Natural Science Foundation of China (No. 19971064), Key Project of Science and Technology of Hubei Province Education Committee. Biography: Wang Jin-ping (1963-), male, Ph.D. candidate, research direction: numberical solution of singular integral equation and integral transformation etc.     

Resource Search in Unstructured Peer-to-Peer System Based on Multiple-Tree Overlay Structure

We propose a multiple-tree overlay structure for resource discovery in unstructured P2P systems. Peers that have similar interests or hold similar type of resources will be grouped into a tree-like cluster. We exploit the heterogeneity of peers in each cluster by connecting peers with more capacities closer to the root of the tree. The capacity of a peer can be defined in different ways （e.g. higher network bandwidth, larger disk space, more data items of a certain type etc.） according to different needs of users or applications.     

On the verge of <Emphasis Type="Italic">Umdeutung</Emphasis> in Minnesota: Van Vleck and the correspondence principle. Part one

In October 1924, The Physical Review, a relatively minor journal at the time, published a remarkable two-part paper by John H. Van Vleck, working in virtual isolation at the University of Minnesota. Using Bohr’s correspondence principle and Einstein’s quantum theory of radiation along with advanced techniques from classical mechanics, Van Vleck showed that quantum formulae for emission, absorption, and dispersion of radiation merge with their classical counterparts in the limit of high quantum numbers. For modern readers Van Vleck’s paper is much easier to follow than the famous paper by Kramers and Heisenberg on dispersion theory, which covers similar terrain and is widely credited to have led directly to Heisenberg’s Umdeutung paper. This makes Van Vleck’s paper extremely valuable for the reconstruction of the genesis of matrix mechanics. It also makes it tempting to ask why Van Vleck did not take the next step and develop matrix mechanics himself. This paper was written as part of a joint project in the history of quantum physics of the Max Planck Institut für Wissenschaftsgeschichte and the Fritz-Haber-Institut in Berlin.     

The Response of Debris-Flow Events to Solar Proton Flares （Ⅰ）

By analyzing the observation data from Dongchuan Debris Flow Observation and Research Station and historical data from year 1965 to 1990 gotten from National Astronomical Ob-servatories/Yunnan Observatory,the responding of debris flow in Jiangjia Ravine to Solar Proton Flare is studied. The following conclusion can be drawn. Solar Proton Flare,as one of most im-portant astronomical factors,affects the activity of debris flow in Yunnan. Generally,from 1965 to1990,the more active Solar Pro-ton Flare is,the greater the probability of high frequency and large runoff of debris flow is. On the contrary,the less active Solar Pro-ton Flare is,the greater the probability of low frequency,small runoff,and low sediment transport of debris flow is.     

Bang bang control of unified chaotic system

The unified chaotic system contains the Lorenz system and the Chen system as two dual systems at the two extremes of its parameter spectrum. This paper presents the design of bang bang controller for unified system and multitude of numerical experiments under various control parameters. Numerical experiments meet the theoretic proof perfectly and convincingly demonstrated the controller can be effectively used for unified systems with uncertainty of the equilibrium points. The method enriches the applications of chaotic control. Foundation item: Supported by the National Natural Science Foundation of China(50209012) Biography: Deng Xiao-ming (1980-), male, Master candidate, research direction: chaos control.     

SO_4~(2)/ZrO_2-SiO_2超强酸催化剂研究(Ⅲ)——酸性及比表面积(英文)

系统地研究了SO2 - 4/ZrO2 _SiO2 催化剂的酸性和比表面积 ,采用吸附吡啶的红外光谱法、BET法以及指示剂法考察了催化剂的组成、温度以及其他处理条件对催化剂酸强度以及催化剂比表面积的影响 .实验结果表明 :在硅锆比小于 10时 ,SO2 - 4/ZrO2 _SiO2 催化剂的比表面积随催化剂中硅锆比的增高而增大 ;在硅锆比为 10左右时 ,比表面积可高达 4 40m2 / g ,数倍于SO2 - 4/ZrO2 催化剂的比表面积 .在相同处理条件下 ,SO2 - 4/ZrO2 _SiO2 催化剂的酸强度低于SO2 - 4/ZrO2 的酸强度 .吸附吡啶的红外光谱证明该催化剂的表面酸点多为Lewis酸点     

有关α-对称分布的几个结果

本文综合运用特征函数理论和随机分解方法研究了α-对称分布,得到了一系列结果,为α-对称分布问题的最后彻底解决提供了一些基础性工作。     

广西农业科研院所科技开发现状、问题和对策研究

全面系统总结分析了广西农业科研院所科技开发现状，归纳出五大主要技术开发类型和目前科技开发存在的７个主要问题；提出了广西农业科研院所科技开发的十大措施与对策．     

半环式传感型骨外固定器的力学特性实验

通过对尸胫骨 -传感器骨外固定器系统的动、静刚度及应力遮挡率进行了实验研究 ,表明半环四针传感型骨外固定器较两针型的刚度大 ,因此在骨愈合初期、粉碎性骨折宜采用四针结构 ,以避免错位、成角 ;愈合中后期用两针结构 ,以减小应力遮挡