怎样参数化空间上的椭圆曲线呢？
给定一个空间里的椭圆曲线，一个来参数化这曲线的有趣示例是,表示为圆柱体与斜面的相交部分。
Say that I give you an ellipse in space as maybe the more, well, one exciting way to parameterize an ellipse in space is maybe the intersection of a cylinder with a slanted plane.
椭圆曲线密码体制是目前公钥体制中每比特密钥安全强度最高的一种密码体制。
Elliptic Curve Cryptography (ECC) has the highest safety strength of private key per bit in the Public-Key Cryptography recently.
椭圆曲线密码体制因其具有密钥短、开销小的优点，非常适合应用于移动通信设备。
ECC (Elliptical Curve Crypto system) is suit for the mobile communication equipment for its advantage of short key and low cost.
根据MOV归约理论，采用双线性映射构造的基于身份加密方案使得该方案不具有椭圆曲线高效的优点。
According to the MOV reduction theory, the identity-based encryption scheme which is based on the bilinear map will lose the high efficiency of elliptic curve.
重点讨论了椭圆弧和样条曲线、样条曲线和样条曲线之间的模糊识别。
Have discussed the fuzzy discernment among oval arc and spline curve, spline curve and spline curve especially.
本文主要完成了一个基于椭圆曲线的加密系统的设计和实现。
This article deals with the design and implementation of a cryptosystem based on elliptic curve.
本文研究椭圆曲线密码算法，具有重要的理论意义和应用价值。
So the research of elliptic curve in this paper has an important value.
实现了椭圆曲线密码体制中的一些基本算法，如快速取模算法、快速模加算法、快速模逆算法等。
Elliptical curve encryption system has achieved some basic algorithms, such as rapid access modules algorithms, rapid modules plus algorithms, rapid modules reverse algorithm. etc.
本文主要研究椭圆曲线密码和其中的有关算法。
In this dissertation the elliptic curve cryptosystems and the related algorithms are investigated.
论文主要通过研究改进椭圆曲线公钥密码学，设计实现了一个基于椭圆曲线的混合加密系统。
By studying and improving on ECC mainly, this article deals with the design and encryption algorithm implementation of a hybrid cryptosystem based on elliptic curve.
在圆锥曲线群上的各项计算比椭圆曲线群上的更简单，尤其是在其上的编码和解码都很容易被执行。
Compared with ECC, the computing on conic curve is much easier, and the facility of plaintext embedding is the most exciting feature of conic curve cryptography.
提出了基于椭圆曲线的数字签名方案，探讨了椭圆曲线密码算法的优点及其特别适用的领域。
This paper has proposed an elliptical curve digital signature program, and has explored the advantages and its special application areas.
本文提出了一种在已知有限数域上产生一类安全椭圆曲线的算法。
This paper presents a method for generating elliptic curves of known order over finite fields.
在相同安全强度条件下，椭圆曲线密码体制具有较短的密钥长度，较少的计算量、存储量和较小的带宽等诸多优点。
Under similar secure conditions, the ECC has the advantages such as: less computation amounts, shorter length of private key, smaller storing and bandwidth.
根据时间分割法的基本思想，提出了一种空间椭圆曲线的插补算法。
Interpolation algorithm of space oval curves is introduced in the article on the basis of time segmentation.
最后，基于本文提出的椭圆曲线密码体制上的门限代理签名方案，设计开发了一个电子审稿系统。
Last, based on the above scheme, an electronic review system is designed and developed, which can reduce the workload of editors and increase the automation of review systems.
研究结果表明基于椭圆曲线的盲签署算法是安全的，高效的。
Research conclusions indicate blind signature algorithm based on elliptic curve is safe and effective.
在对方案的安全性分析中，我们还提出了两类椭圆曲线上的困难问题。
In the security analysis, we presented two hard problems over elliptic curves as well.
两种方案的安全性都是基于椭圆曲线离散对数问题的难解性。
Both of their security are based on the intractability of elliptic curve discrete logarithm problem.
注册码的生成与验证环节采用了椭圆曲线的思想。
Generation and authentication of registration number is based on Ellipse Curve.
该文首先介绍有限域上定义的椭圆曲线及点群运算规则，给出椭圆曲线点群的阶。
This paper, firstly introduces the elliptic curve in finite field and algebraic law of its point group, gives the order of the group.
提高椭圆曲线点积运算的效率是椭圆曲线研究的一个核心问题。
To improve the efficiency of the algorithm of point multiplication on elliptic curves is a key problem.
在椭圆曲线密码体制的实现中，选取安全的椭圆曲线是首要问题。
In the implementation of the elliptic curve cryptosystem, we first have to select a secure elliptic curve.
椭圆曲线密码体制的实现速度依赖于曲线上标量乘法的运算速度。
The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication.
提出了一种基于椭圆曲线的流水线实现方法，来解决串行计算的效率低下问题。
In this paper, a pipelining approach for elliptic curve cryptography is proposed to solve the problem of low efficiency in sequential implementation.
针对基于RSA公钥体制的SSL协议在安全性和效率方面存在的问题，提出了基于椭圆曲线的SSL协议扩展。
Against the problem of SSL protocol based on RSA system, an extension to SSL protocol based on elliptic curve cryptosystem is proposed in this paper.
针对基于RSA公钥体制的SSL协议在安全性和效率方面存在的问题，提出了基于椭圆曲线的SSL协议扩展。
Against the problem of SSL protocol based on RSA system, an extension to SSL protocol based on elliptic curve cryptosystem is proposed in this paper.
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