This paper presents a new fast scalar multiplication algorithm on elliptic curve cryptography.
基于椭圆曲线密码，提出了一种快速标量乘算法。
Secondly, it analyzed ECC and how to improve the algorithm efficiency from the point of Times-dot algorithm and scalar multiplication algorithm.
其次文章详细论述了ECC的相关知识及从倍点乘算法和标量乘运算两方面来提高该算法的运算效率。
This algorithm greatly reduces times of addition operation which takes time for scalar multiplication algorithm by introducing signed and unsigned sliding window coding methods.
此算法通过引入有符号和无符号滑动窗口编码方法，大大减少了标量乘算法中费时的加法运算次数。
The methods to speed up the scalar multiplication computation are mainly discussed in two ways: one is the number system, another is parallel algorithm.
主要从两个方面来研究快速算法，一是研究数域系统以加快标量乘法运算，二是研究标量乘法运算的并行算法。
The algorithm can greatly reduce the number of elliptic point addition, so the efficiency of scalar multiplication in elliptic curves is improved.
该算法比经典算法减少了点的加法的计算次数，从而加快了椭圆曲线上点的数乘的运算速度。
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.
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。
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