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• Elliptic curve cryptosystems are one kind of the most promising public key cryptosystems.

椭圆曲线密码目前具潜力的一类公钥密码系统。

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• In this dissertation the elliptic curve cryptosystems and the related algorithms are investigated.

本文主要研究椭圆曲线密码其中的有关算法。

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• In this dissertation the elliptic curve cryptosystems and fast scalar multiplication algorithms are investigated.

本文主要研究了椭圆曲线公钥密码体制中标量乘法运算的快速算法。

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• A directed digital signature based on hyper elliptic curve cryptosystems was proposed and the security was discussed.

该文基于椭圆曲线密码体制提出一个单向签名方案，分析了安全性

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• The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication.

椭圆曲线密码体制实现速度依赖于曲线上标量乘法运算速度

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• Finite field inversion, an important module of elliptic curve cryptosystems and hyper-elliptic curve cryptosystems, is introduced.

介绍椭圆曲线密码超椭圆曲线密码算法中一个重要模块——求模块。

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• The center to the implementation of elliptic curve cryptosystems efficiently lies in the arithmetic of scalar multiplication and addition.

椭圆曲线密码体制高速实现关键是点加法

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• By investigating the elliptic curve cryptosystems, the problems are reduced the fast computations of scalar multiplication of the elliptic curve.

通过椭圆曲线密码体制研究，将快速实现椭圆曲线密码问题归结为标量乘法实现效率。

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• Using the improved algorithm, we present the attack on elliptic curve cryptosystems with binary scalar multiplication, and verify it through software simulation.

采用改进算法针对二进制方法点椭圆曲线密码进行符号变换故障攻击利用仿真实验进行了验证

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• Elliptic Curve Cryptosystems are widely used for data encrypt and figure signature due to their peculiar superiority, and they also can be used for electronic cash protocol.

椭圆曲线密码体制以特有优越性广泛用于进行数据加密数字签名同样可用来构建盲签名协议和电子现金协议。

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• 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.

安全椭圆曲线选取标量乘法的快速计算有效实现椭圆曲线密码体制两个主要问题

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• This paper introduce the math basis of Elliptic curve cryptography, and it 's cryptosystems, then provide a valid method to compute the order of Elliptic curve.

介绍椭圆曲线密码体制数学基础及其应用模型，计算椭圆曲线提出一个有效算法

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• Elliptic curve cryptosystem is a hot topic in public key cryptosystems.

椭圆曲线密码体制公钥密码体制研究的热点。

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• Elliptic curve cryptosystem is a hot topic in public key cryptosystems.

椭圆曲线密码体制公钥密码体制研究的热点。

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