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This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列,主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等,得到如下主要结果:(1)系统讨论椭圆曲线-线性同余序列的一致分布性质,即该类序列是渐近一致分布的,并给出了它的非线性复杂度下界;(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ),这两类序列具有"优"的密码性质,也正面回答了Goubin等提出的公开问题;(3)利用椭圆曲线及其挠曲线构造一类二元序列,其周期为4p(其中椭圆曲线定义在有限域F_p上),0-1分布基本平衡,线性复杂度至少为周期的四分之一;(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计,并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性;(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布;(6)讨论椭圆曲线-子集和序列的一致分布;(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布,线性复杂度等性质。

Water resource deposits is imbalance in areas around the Bohai Sea, the incompletion in legal protection of Water right system is one of the factors which lead to the imbalance in development of these areas.

环渤海地区水资源分布不均衡,水权法律制度的缺失成为桎梏环渤海区域经济发展不平衡的因素之一。

The liquid-liquid equilibrium binodal curves and the tie-line data of an epoxy cotton seed oil/acetic acid/water ternary system.

测定了环氧棉籽油-醋酸-水三元系分别在30℃,40℃,50℃,60℃下的液-液平衡双结点曲线,以及在40℃,50℃,60℃下的液-液平衡系线数据;分别应用物料衡算法和系线中点轨迹法对实验数据进行了检验。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列,主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等,得到如下主要结果:(1)系统讨论椭圆曲线-线性同余序列的一致分布性质,即该类序列是渐近一致分布的,并给出了它的非线性复杂度下界;(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ),这两类序列具有&优&的密码性质,也正面回答了Goubin等提出的公开问题;(3)利用椭圆曲线及其挠曲线构造一类二元序列,其周期为4p(其中椭圆曲线定义在有限域F_p上),0-1分布基本平衡,线性复杂度至少为周期的四分之一;(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计,并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性;(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布;(6)讨论椭圆曲线-子集和序列的一致分布;(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布,线性复杂度等性质。

Aeruginosa and S. quadricauda in HAC were lager than in HA without reference to pure or mixed culter. It indicated that the growth of M. aeruginosa and S. quadricauda need HCO3(superscript -) as carbon source to balance its C:N:P ratio. Cyclotella sp. could not survive in HAC. M. aeruginosa and S.

铜绿微囊藻与四尾栅藻在HAC中纯培养和共培养的生物量K和最大增长速率r均远大于在HA中,表明这两种藻的增殖需要HCO3作为碳源平衡胞内营养平衡;小环藻不能在有HCO3的培养基中生存。

Studying the marketing reengineering, this thesis concludes that:①marketing should go beyond a functional element to guide a company at a strategic level, it is the "soul" of a company,②vision analyzing, marketing architecture crafting and implementing, and stakeholders' interests balancing, are three integral parts of marketing for a company, and ③for its own survival and growth, Shuanghuan Auto needs a foresightful, holistic and sustainable marketing system to draw on.

通过对双环公司营销再造的研究,得出了如下结论:①营销不应被简单地看作是一个功能性概念,营销必须是一个战略经营的概念,它是公司的&灵魂&;②一个公司完整的营销活动必须涵盖企业愿景评估、营销体系设计与实施以及三个主要利益主体间的利益平衡这三个方面的内容;③双环公司要生存和发展,离不开具有前瞻性、系统性以及可持续性的营销系统的强有力支撑。

The results indicated that the decoloration of three orcein dyes on EPI-DMA/Bt were much better than on Na-Bentonites. The relationship between adsorptive capacity and equilibrium concentration fitted the isothermal adsorption equations of Langmuir and Freundlich. The adsorption dynamics followed the law of Langmuir equation.

结果表明,聚环氧氯丙烷二甲胺/膨润土对三种染料的吸附脱色能力明显大于钠基膨润土,平衡吸附量 q e与平衡浓度 C e之间的关系均符合Langmuir和Freundlich等温吸附模型,吸附动力学行为遵循Langmuir方程所述规律。

Methods: We use head-space GC method, chromatographic conditions are carried out as following: the flexibility quartzose capillary column, the temperature of column is 90℃, injection temperature is 150℃, equivalence temperature is 80℃ and time is 30 mins, quantization imp temperature is 90℃, transfer line temperature is l00℃.

采用顶空法,在极性弹性石英毛细柱上进行各组分分离,效果良好。柱温:90℃,进样口温度150℃,顶空瓶平衡温度80℃,平衡时间30分钟,定量环温度90℃,传输线温度100℃。

At first, this paper gives the brief introduction of the history and present status of accelerometer and its testing technology, the working principium and math model of the liquid floated pendu-lous accelerometer, and then, decides the binary width pulse force retrim loop as the design proposal of testing system, researches the transfer function of every part in the system emphasizly, analyses the stability of the whole accelerometer testing system from the angle of control theoretics by the open loop transfer function of system, and designed the correcting net, analyses the basal problems such as resolution, sampling restraint, precision and so on, designs the hardware testing circuits such as preamplification, band-pass filter, alternating amplifier, phase sensitive demodulatorn, pulse-width modulation, frequency scale circuit, moment current generator. Finally, using the graphics program language LabV-IEW which is designed for testing field especially by NI accomplishes the solfware design of testing system,realized the testing functions.

首先对加速度计及其测试技术的发展历史和现状,液浮摆式加速度计的工作原理和数学模型等作了简要的介绍,然后确定了以二元调宽脉冲再平衡测试回路为设计方案,并从控制理论的角度进行了分析,着重研究了系统中各部分的传递函数,利用系统开环传递函数分析了系统的稳定性,同时设计了系统的校正网络;分析了二元调宽脉冲再平衡测试回路的分辨率、采样约束以及测试精度等基本问题,并按照系统分析的结果设计了包括前置放大、带通滤波、交流放大、相敏解调、脉宽调制、频标电路以及力矩电流发生器等测试系统各部分硬件电路,验证了电路的正确性,最后按照测试系统的要求,采用了美国NI公司专为测试领域所开发的虚拟仪器工具——LabVIEW作为测试软件开发工具,利用该图形化编程语言完成了测试系统软件部分的设计,实现了测试功能。

The dissociation constants and the reaction rate constants of inclusion complexes formed between α、β—cyclodextrin and several naphthyl esters (α—naphthyl acetate,β—naphthyl acetate,β—naphthyl caproate) were obtained by kinetics of hydrolyses of naphthyl esters.

通过几种脂肪酸萘酯(乙酸-α-萘酯、乙酸-β-萘酯、己酸-β-萘酯)的环糊精催化水解研究得到了它们同环糊精所形成的包接络合物的分解平衡常数和反应速度常数,进而提出了它们同环糊精所形成的包接络合物的结构模型。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

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