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.
计算椭圆曲线上点的数乘是椭圆曲线密码算法的基础。
The scalar multiplication in elliptic curves is the basic to elliptic curve cryptosystem.
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.
针对椭圆曲线密码算法中有限域模乘运算的需求，提出其专用模乘指令。
Analysis of finite field modular multiplication requirement of Elliptic Curve Cryptography (ECC), the application specific instruction for modular multiplication computation is designed in this paper.
椭圆曲线点乘的实现速度决定了椭圆曲线密码算法(ECC)的实现速度。
The implementation speed of elliptic curve Cryptography (ECC) depends on the implementation speed of elliptic curve point multiplication.
介绍了椭圆曲线密码和超椭圆曲线密码算法中一个重要的模块——求逆模块。
Finite field inversion, an important module of elliptic curve cryptosystems and hyper-elliptic curve cryptosystems, is introduced.
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.
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.
介绍了曲线公钥密码算法的体制和特点，着重分析了用椭圆曲线密码算法实现SSL协议的过程。
With the presentation of ECC algorithm and its traits, the thesis specially analyses the process by using ECC to implement SSL.
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.
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.
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.
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.
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.
基于椭圆曲线密码，提出了一种快速标量乘算法。
This paper presents a new fast scalar multiplication algorithm on elliptic curve cryptography.
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.
实现椭圆曲线密码体制还有一个关键的步骤，就是椭圆曲线有限群基点选取算法的设计与实现。
In the implementation of elliptic curve cryptosystem, one of the key steps is to design and implement the base-point choice algorithm of elliptic curve finite group.
介绍了椭圆曲线密码体制的数学基础，及其应用模型，并为计算椭圆曲线的阶提出了一个有效的算法。
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.
采用改进的算法针对二进制方法点乘的椭圆曲线密码进行了符号变换故障攻击，利用仿真实验进行了验证。
Using the improved algorithm, we present the attack on elliptic curve cryptosystems with binary scalar multiplication, and verify it through software simulation.
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.
接着研究基于最优扩域的椭圆曲线密码实现过程中的几个关键问题，包括参数的生成、基点的选取和标量乘算法。
Several key problems in the implementation of ECC based on OEF are analyzed, which includes validating the parameters, selecting base point and the algorithms for scalar multiplication.
椭圆曲线密码(ECC)是一种非常复杂的数学算法，设计出能够完整实现ECC算法的专用集成电路芯片(ASIC)非常困难。
Elliptic Curve Cryptography (ECC) is a rather complicated algorithm. It is difficult to design an application specific integrated circuit (ASIC) to fully implement ECC.
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.
本文主要研究了椭圆曲线公钥密码体制中标量乘法运算的快速算法。
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。
In this dissertation the elliptic curve cryptosystems and fast scalar multiplication algorithms are investigated.
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