基于椭圆曲线密码系统，采用了多键共享方案。
Based on the elliptic curve cryptosystem, a multikey sharing scheme is used.
怎样参数化空间上的椭圆曲线呢？
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.
此系统是基于椭圆曲线离散对数表示问题的。
The system is based on expression question of elliptic curve dispersed number.
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.
它们的安全性都是基于椭圆曲线离散对数问题。
All of their security is based on 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.
除子标量乘是超椭圆曲线密码体制中的关键运算。
Divisor scalar multiplication is the key operation in hyperelliptic curve cryptosystem.
椭圆曲线密码是目前最具潜力的一类公钥密码系统。
Elliptic curve cryptosystems are one kind of the most promising public key cryptosystems.
椭圆曲线密码体制是一种基于代数曲线的公开钥密码体制。
Elliptic curve cryptosystem is a kind of public-key cryptosystem based on algebra curve.
椭圆曲线公钥密码体制（ECC）具有最高的位安全强度。
The Elliptic Curve Cryptosystem (ECC) provides the highest strength-per-bit for security.
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.
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.
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.
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.
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.
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.
椭圆曲线密码体制(ECC)是一种基于代数曲线的公钥密码体制。
Elliptic curve cryptosystem (ECC) is a kind of public-key cryptosystem based on algebraic curve.
安全的椭圆曲线构造和基点的选取，是椭圆曲线密码体制实现的的关键。
Point out that the secure elliptic curve is the master key of constructing the elliptic curve cryptosystem.
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.
该文基于超椭圆曲线密码体制提出了一个单向签名方案，并分析了其安全性。
A directed digital signature based on hyper elliptic curve cryptosystems was proposed and the security was discussed.
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.
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.
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.
文章还设计了椭圆曲线加密系统的加解密方案，讨论了椭圆曲线系统的安全性问题。
Moreover, the encryption and decryption schemes of the ECC are designed and the security problem of ECC is also considered.
安全椭圆曲线的选取和标量乘法的快速计算是有效实现椭圆曲线密码体制的两个主要问题。
The selection of secure elliptic curves and the scalar multiplications of elliptic curves are two important problems in the practice of efficiently implementing an elliptic curve cryptosystems.
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.
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.
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