firstly i present the basic mathematics of elliptic curves, and then present the elliptic curves defined on two finite fields, and then present the encryption schemas based on elliptic curves. then i present the studies on improving scalar multiplication.

  • 本文首先简要地介绍了椭圆曲线的数学基础、两种有限域上的椭圆曲线,基于椭圆曲线的密码体制,以及国内外改进椭圆曲线上数乘运算的现状。
  • 来源:互联网摘选更新时间:2026-07-14 02:50:34

  • 重点词汇
  • ellipticadj.椭圆的;<语>省略的;
  • ofprep. 关于;属于…的;由…制成;
  • definedadj.有定义的,明确的;清晰的,轮廓分明的;
  • basicadj.基础的,根本的;最初级的,起码的;
  • thenadv.那时;然后;那么;话说回来;
  • scalaradj.梯状的;分等级的;数量的;标量的;
  • finiteadj.有限的;[语]限定的;[数]有穷的,有限的;
  • firstlyadv.第一,首先(主要用于列举条目、论点时);
  • curvesn.曲线;弯曲;曲面;弧线;(投向击球员的)曲线球
  • 两名n.Two; two things; two o'clock; a pair;
  • mathematicsn. 数学;运算;
  • 相关例句
1、

computer aided design ( cad) is a new technology, which comes from the close combination of computer science, basic mathematics, data processing technique, computer graphics and the specialized knowledge, experience, and originality of designers.

计算机辅助设计(Computer Aided Design,CAD),是计算机科学、基础数学、数据处理技术、计算机图形图像学与设计人员的专业知识、经验和独创性密切结合产生的一门新技术。

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2、

this article explains the ties and the development tendency of the modern city map with the traditional city map from city map's basic mathematics, content, function, figure language and map drawing.

从城市地图的数学基础、城市地图的内容和功能、城市地图的图形语言、城市地图的绘制等四个方面论述了现代城市地图与传统城市地图的联系及其发展。

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3、

even the lower-skilled occupations of the future will require workers who can communicate well and read and comprehend instructions, and have a working knowledge of basic mathematics.

甚至较低技能的职业也需要员工有良好的沟通、阅读能力,理解指令的能力,并有完成工作所需要的基本数学知识。

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4、

basic mathematics on the analysis and application of the sub-energy data was discussed. the factors that affecting energy consumption were classified into objective factors and controllable factors.

提出了分项能耗数据分析应用的基本数学方法,将能耗影响因素分为客观因素和可控因素两类。

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5、

this paper introduces a special operator space, proves two of its properties and with which, discusses four well-known theorems in separate branches of basic mathematics.

本文引进一种特殊的算子空间,并证明了它的两个性质,进而又用它的性质对基础数学学科中四个较著名的定理进行了讨论。

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6、

this paper analyzes influential factors in simulation model of fuel injection system of diesel engine, and delivers the basic mathematics model of simulation calculation.

较全面地分析了柴油机燃油喷射系统仿真计算的影响因素,给出了仿真计算的基本数学模型。

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7、

cui shangbin, professor in basic mathematics at sun yat-sen university

崔尚斌,中山大学基础数学系教授

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8、

mathematics curriculum, requirements and teaching schedule have changed because of the basic mathematics education reform.

基础数学教育改革造成了数学课程内容、要求和教材编排发生改变。

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9、

the basic mathematics aspects of random-set theory are briefly reviewed.

介绍了随机集理论的基本数学概念。

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10、

on the curricular reform of basic mathematics in globalization

全球化趋势中的基础数学课程改革与创新

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11、

i mean, anybody who did their basic mathematics knew.

我是说,任何会做基础数学的人,就知道结果会是这样。

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12、

to solve the problem of housing security of migrant workers, this paper argues that firstly people should follow certain principles, including the principle of fairness, collaboration, humanism, step by step in line and so on.

解决农民工住房保障的问题,本文认为首先应该遵循特定的原则,包括公平、协作、人本和渐进原则。

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13、

the article notes whatever one does for a living, the resources he uses all come from society. if one gains more, he undoubtedly should contribute more. and that's in line with the principle of fairness.

文章强调,不管人们做什么工作,他所用的资源都是来自社会的,如果他得到的多,无疑他应该贡献多,这是与公平原则一致的。

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14、

the developing countries insist that developed countries should be primarily responsible for climate issues. based on the principle of fairness, they should take the lead in emission reduction, and provide developing countries with financial and technical supports.

而发展中国家坚持认为发达国家是气候问题的主要责任者,基于公平原则,他们应该率先减排,并向发展中国家提供资金和技术上的支持。

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15、

the nature of the fault offset is not the elements of establishment of tort liability, but the means of deciding the amounts of damages. it follows the principle of fairness and propriety.

过失相抵的本质并非侵权行为责任的成立要件,而是决定损害赔偿数额的手段,它所遵循的原则是公平性和妥当性。

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16、

it is related to human being's existence and development. as a sub-matter of social system, education itself also faces the problem of sustainable development, to which the principle of fairness is the key determiner.

作为社会子系统的教育,自身也存在着可持续发展问题,而教育可持续发展中公平性原则的界定与实施则是教育可持续发展之路能否成功的关键之一。

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17、

the legislative purpose of the system is to maintain the legal rights of the divorce parties, strengthen the protection of the weak in marriage, embodying the principle of fairness of marriage legislation.

该制度的立法宗旨是维护离婚当事人的合法权益,加强对婚姻关系中弱者的保护,体现婚姻法的公平原则。

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18、

baihelily, keeping to the principle of fairness, impartiality and openness, faithfully fulfills the responsibility of a corporation to be prominent.

百合丽莲,秉承公平、公正、公开原则,切实履行企业社会责任,做花中君子。

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19、

we should begin with the principle of fairness and efficiency from tax law, combine the trend in lottery market and then put forward the tax policy for each period in our lottery market.

应从税法的公平与效率原则出发,并结合我国彩票市场的发展形势,确定我国彩票市场各发展阶段的税收政策。

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20、

in case that the employer-unit provides the text, the principle of fairness shall be followed and shall not infringe upon the legitimate rights and interests of the employee.

由用人单位提供的合同文本,应当遵循公平原则,不得损害劳动者的合法权益。

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