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1·Divisor scalar multiplication is the key operation in hyperelliptic curve cryptosystem.

除子标量乘是超椭圆曲线密码体制中的关键运算。

2·The scalar multiplication in elliptic curves is the basic to elliptic curve cryptosystem.

计算椭圆曲线上点的数乘是椭圆曲线密码算法的基础。

3·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。

4·Many studies were carried out on improving scalar multiplication, and many improved algorithms were presented.

在串行的范畴内，人们对改进数乘运算的效率进行了大量的研究，并提出了不少改进算法。

5·The definition of work suggests a third process of vector algebra, namely, scalar multiplication of two vectors.

功的定义用到矢量代数的第三种运算，即两个矢量的标积。

6·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。

7·The process of ECC includes the selection of base field and coordinates, scalar multiplication and field operation.

ECC算法中基域的选择、坐标系的选择、标量乘法和域算术运算的实现。

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

椭圆曲线密码体制的实现速度依赖于曲线上标量乘法的运算速度。

9·The finite field arithmetic, elliptic curve scalar multiplication and the related algorithms are investigated in this dissertation.

本文主要研究有限域运算算法和椭圆曲线数乘运算算法。

10·The main operations of elliptic curve cryptosystem are scalar multiplication and multi-scalar multiplication for a pair of integers.

椭圆曲线密码体制最主要的运算就是椭圆曲线上的标量乘和多标量乘，在各种密码协议中起到了核心作用。