In the implementation of the elliptic curve cryptosystem, we first have to select a secure elliptic curve.
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。
Point out that the secure elliptic curve is the master key of constructing the elliptic curve cryptosystem.
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。
The selection of secure elliptic curve and the high efficiency in implementation are two main research for ECC.
安全椭圆曲线的选取和椭圆曲线密码的快速实现是椭圆曲线密码的两个主要的研究内容。
Then, the safety of elliptic curve based on OEF is discussed, and the selection criterions and the selection algorithm of secure elliptic curve are given.
其次讨论最优扩域上的椭圆曲线安全性问题，给出了安全椭圆曲线的选取准则和选取算法；
The paper mainly introduces some contents of ECC, such as implement of secure elliptic curve, generation of key, key exchanged protocol and digital signature.
本文主要分析了椭圆曲线公钥密码体制的安全椭圆曲线的实现、密钥的生成、密钥交换协议和数字签名等内容。
Fast generation of secure elliptic curves is precondition in the ECC's research and application. There are a number of ways to generate elliptic curve parameters.
快速产生安全的椭圆曲线是ECC理论研究和实际应用的前提和基础。
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.
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。
To resist the side channel attacks of elliptic curve cryptography, a new fast and secure point multiplication algorithm is proposed.
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。
We propose a new elliptic curve key-exchange protocol, analyze its security and prove that assuming ECDDHP is hard to solve, it is a secure AK protocol.
文章设计了一个新的椭圆曲线密钥交换协议，分析了其安全性，证明了在ECDDHP难解的前提下，该协议是安全的AK协议。
In this paper, we propose a novel secure multicast scheme with key agreement based on Elliptic Curve Cryptosystem and group communication inside Identity-based Public key Cryptography system.
提出一个应用椭圆曲线密码体制进行密钥协商而在基于身份的公钥系统内进行组通信的全新安全组播方案。
The test result indicates that the hybrid cryptosystem based on elliptic curve has a better speed and more efficiently keeps the messages through networks secure than older ones.
测试结果表明论文的椭圆曲线混合加密系统同改进前比提高了椭圆曲线加解密速度，更有效地实现网络中信息的安全。
We need to know the points of a given elliptic curve which is important to judge whether the given curve is secure.
但是相对于其它公钥密码体制来说，如何选取安全的椭圆曲线参数这一问题目前还是一件困难的事情。
We need to know the points of a given elliptic curve which is important to judge whether the given curve is secure.
但是相对于其它公钥密码体制来说，如何选取安全的椭圆曲线参数这一问题目前还是一件困难的事情。
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