查询词典 prime number

This paper first analyses and summarizes the ststus quo and evolution trend of encryption, some common used cryptograph are introduced, including the algorithms used in symmetric cryptosystem and asymmetirc cryptosystem. We describe the theory of each algorithms and compare the elliptic curve cryptosystem with the other two asymmetric cryptosystems to show the advantages of this algorithm. Second, the principle of ECC is discussed, including the math foundation of ECC, basic conception of elliptic curves, constructiong idea of ECC, operation on the elliptic curve and so on. Third, the current attacks of ECC were analyzed deeply, and an algorithm based on limited prime number field was constructed. We analyzed its realizability in theory, and implement it by using certain function of MIRACL software package. Latter half in this paper, the implementation model of a simple elliptic curve encryption system which based on GF has been introduced. The paper also put a deep analysis on the algorithm of point addition and point multiplication.

本文首先对密码技术的发展现状及其发展趋势进行了分析和综述，详细的介绍了私钥密码系统和公钥密码系统的发展，说明各种算法的原理和优缺点，并给出了一些典型的密码体制的简要分析，重点将椭圆曲线算法与其它几种公钥密码算法比较，说明椭圆曲线算法的优势；其次，探讨了椭圆曲线密码体制的原理，包括椭圆曲线密码的数学基础、基本概念、椭圆曲线密码体制的构造思想等问题；第三作者对椭圆曲线的攻击现状作了详细的分析，针对所使用的大素数域F_p，设计了素数域上安全椭圆曲线产生的算法，从理论上做了可实施性分析，从软件上做了具体实现；在本文的后半部分，提出了一个简单的基于有限素数域上的椭圆曲线加密方按算实现模型，并对SECES中设计的点加和点乘运算进行了深入分析。

For over 2000 years, the mathematicians tried to find a universal formula for prime number.

这给我们学生学习质数留下了许多困难。

Generalized way ; graph analysis ; prime number distribution ; Kronecher function ; Hanavan model ; generalized coordinate ; generalized inertia force ; technical movement.

国家自然科学基金；高等学校博士学科点专项科研基金广义路径；线图分析；素数分布；卷和函数； Kronecher函数； Hanavan模型；广义坐标；广义惯性力；动作技术

Arran's ambitions lie elsewhere with a prime number problem that has intrigued and frustrated mathematicians for 150 years.

阿兰的野心不在政治，而在一个困扰了数学家们150年的重要的数字问题。

It's a one, it's a prime number.

这是数字一，它是个质数。

Indeed, it is the largest prime number ever found.

事实上，它是迄今为止找到的最大的素数。

However, 4021 is indeed a prime number.

但是4021确实是一个质数。

We want you to write a program that calculates the n -th by order prime number.

我们想让你写个程序计算第n小的质数。

We might define our language as the set of all strings of digits which represent a prime number.

我们可能会确定我们的语言作为一套所有字符串的位数代表的主要号码。

In particular, in uses a calculation of n -th by order prime number.

具体的说，就是计算第n小的质数。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。