椭圆曲线算法只需要较小长度的密钥就可以获得较高的安全性，因此非常适合用智能卡来实现椭圆曲线数字签名算法。
Elliptic curve digital signature arithmetic can achieve high security using a shorten key, so it is very suitable to realize this arithmetic on smart card.
本文结合椭圆曲线算法的数学基础对椭圆曲线密码体制进行深入的分析，对ECC的硬件实现进行了具体的研究设计。
Based on the in-depth analysis of Elliptic Curve mathematical algorithm and Elliptic Curve Cryptosystem, we have proposed a hardware implementation of ECC.
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.
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.
文章对椭圆曲线加密算法的数学基础理论知识和基本原理作了详细的阐述，并对它的一个应用作了剖析和研究。
This paper elaborates mathematics basic theory and knowledge of coding algorithm of ellipse curve. Meanwhile, the author also analyses and studies its application through an instance.
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.
为了提高椭圆曲线密码（ECC）的点乘运算速度，提出了一种快速约简求模算法。
To accelerate point multiplication operation of elliptic curve cryptography(ECC), a fast reduction algorithm for modular operation was introduced.
本算法的特点是利用面积相关性，而且特别适合于封闭曲线所围成的区域，如圆和椭圆等区域。
This algorithm USES the coherence properties of regions and is especially suitable for regions bounded by closed curves, eg. circles, ellipses etc.
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.
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.
为了实际应用的需要，本文设计了实现椭圆曲线密码体制所需的并行环境，并建立了并行算法。
For the needs of practical application, this paper designed a necessary parallel architecture of realizing elliptic curve cryptosystem and designed the parallel algorithm.
这些公钥密码算法的关键操作为大整数模幂乘操作与椭圆曲线标量乘法操作，均属于计算密集型运算。
In these public key cryptographic algorithms, the kernel operations are modular exponentiation of multi-precision integer and elliptic curve scalar multiplication, which both are computing intensive.
为了抵抗椭圆曲线密码的边信道攻击，提出了一种新型快速安全的标量乘算法。
To resist the side channel attacks of elliptic curve cryptography, a new fast and secure point multiplication algorithm is proposed.
本文主要研究椭圆曲线密码算法及应用。
This paper mainly researches algorithms and applications of elliptic curve cryptography.
利用组合公钥体制（CPK）的基本思想，结合椭圆曲线加密（ECC）算法，提出了一种改进的数字签名方案。
This paper represents an improved method of digital signature, which is based on the principle of combined public key(CPK) and combined with the algorithm of elliptic curve cryptosystem(ECC).
首先，设计基于带符号阶乘展开式的椭圆曲线标量乘和多标量乘算法。
Firstly, based on the signed factorial expansions,. The fast algorithms for scalar multiplication and multi-scalar multiplication on elliptic curves are presented.
其次，设计基于整数拆分与预计算相结合的椭圆曲线标量乘和多标量乘算法。
Secondly, the fast algorithms for scalar multiplication and multi-scalar multiplication on elliptic curves are designed based on integer splitting and precomputation technique.
作者以椭圆曲线密码体制为基础，完成了该事务数字签名算法的实现。
We implement the algorithm of transaction signature, base on Elliptic Curve Cryptography.
本文首先对论文中所涉及的密码技术作了介绍，重点讨论了椭圆曲线加密算法和几种常见的身份认证技术。
The technical of cryptogram which refer to this paper is discussed firstly. And the emphases of this discussion are about the elliptic curve cryptographic algorithms and authentication.
本论文研究的主要内容是有限域算术、椭圆曲线加密算法和有限域乘法器。
The finite field arithmetic, elliptic curve cryptography (ECC) and the finite field multiplier are investigated in this thesis.
为了实现对球体三维位置的动态实时检测，提出一种基于预测的椭圆曲线快速搜索算法。
In order to realize dynamic real time detection of spherical 3d location, a fast searching algorithm for elliptical curve based on prediction is proposed.
椭圆曲线密码系统具有复杂的数学背景，涉及众多的算法。
Elliptic Curve Cryptosystem has complicated mathematical background, covering a wide range of algorithms.
本文提出一种基于凸性连通分支搜索结合曲线拟合的多椭圆检测算法。
In this paper, a new methodology was proposed based on the connected convex curve searching and ellipse fitting.
本文主要对基于FPGA芯片的椭圆曲线密码算法的实现及优化设计进行了研究。
In the paper, based on the FPGA chip, the realization and optimized design of the elliptic curve cryptography are studied.
本文提出基于椭圆曲线密钥体制的斜树密钥管理方案，算法只需更新少量密钥就能满足系统的安全需求。
An inclined tree-group key management scheme based on elliptic curve cryptosystem is presented in this paper, which needs to renew only several node keys to provide perfect secrecy.
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.
首先对于矩形窗口，介绍了直线裁剪算法，圆和椭圆裁剪算法以及参数曲线的裁剪算法。
Firstly, to the rectangle window, algorithms for clipping lines, circles and ellipses, as well as parametric curves are introduced.
我们提出一个运用模拟退火演算法的参数侦测系统来侦测影像中的直线、圆、椭圆与双曲线，并且将此系统应用到震测图形的侦测上。
Simulated annealing algorithm is adopted to detect the parameters of ellipses, hyperbolas and lines in images and applied to seismic pattern detection.
我们提出一个运用模拟退火演算法的参数侦测系统来侦测影像中的直线、圆、椭圆与双曲线，并且将此系统应用到震测图形的侦测上。
Simulated annealing algorithm is adopted to detect the parameters of ellipses, hyperbolas and lines in images and applied to seismic pattern detection.
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