scalar multiplication是什么意思，scalar multiplication的意思翻译、用法、同义词、例句

[数] 纯量乘法；标量乘法

The simplest approach is to only permit multiplication and division by scalar numbers.

最简单的办法是我们只允许对标量数字进行乘法和除法运算。

In order to improve the operation speed of the improved algorithm, we chose a better algorithm for scalar multiplication and a…

为了进一步提高改进算法的运算速度，文中选取了优异的快速标量乘法并对其效果进行了分析。

Random point scalar multiplication on binary field GF(2 m) is one of the costliest computations in elliptic curve cryptography.

随机点点乘是椭圆曲线密码体制中最耗时的运算。

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。

A field inversion is the most expensive operation on scalar multiplication, and the number of inversion determines the performance of scalar multiplication.

求逆是标量乘法中最耗时的运算，求逆运算次数的多少直接决定标量乘法的性能。

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.

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。

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

通过对椭圆曲线密码体制的研究，将快速实现椭圆曲线密码的问题归结为标量乘法的实现效率。

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。

We brought forward a new mixed coordinates system to denote the point over EC, thereby reduce the number of field multiplication in scalar multiplication.

提出了一种新型的混合坐标系统来表示椭圆曲线上的点，从而降低了标量乘中域乘法次数。

In order to accelerate operating speed, projective coordinates are used and point addition is improved to optimize the scalar multiplication algorithm.

为了提高运算速度，利用射影坐标思想，改进椭圆曲线上求两点和运算公式，对标量乘算法进行优化。

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。

Basic operation rules have been established, including addition, positive scalar multiplication, cancellation law for addition and so on.

基本的运算法则已经形成，包括加法运算、数乘运算、加法的消去律等。

The multi-scalar multiplication with two scalars is the most time consuming operations in elliptic curve cryptography(ECC).

在现代密码系统中使用椭圆曲线密码（ECC）最频繁的一种方法是多点乘算法。

Secondly, the fast algorithms for scalar multiplication and multi-scalar multiplication on elliptic curves are designed based on integer splitting and precomputation technique.

其次，设计基于整数拆分与预计算相结合的椭圆曲线标量乘和多标量乘算法。

For example, compared with the Fixed-base Window method, it speed up 82.5% for the implementation speed of scalar multiplication of a 160-bit integer.

例如，对于160位的大整数标量乘，与固定基窗口方法相比，其实现速度提高了82.5%。

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。

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。

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。

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。

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。

Firstly, based on the signed factorial expansions, . the fast algorithms for scalar multiplication and multi-scalar multiplication on elliptic curves are presented.

首先，设计基于带符号阶乘展开式的椭圆曲线标量乘和多标量乘算法。

Especially, the power attack is very severe for the security of scalar multiplication on Elliptic Curve.

本文主要研究了标量乘运算在能量攻击下的安全性和效率，旨在给出快速安全的标量乘算法。

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的关键是点的数乘与加法。

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。

Although there have been many SPA-resistant scalar multiplication algorithms, there are a few countermeasures for multiple scalar multiplication.

抗SPA攻击的点乘算法较多，但对于多点乘算法相关措施较少。

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。

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。

Firstly, the field operations on OEF are analyzed, focusing on how to analyze and improve the multiplication which is most time-consuming in scalar multiplication.

首先分析最优扩域上域元素的运算，重点对标量乘中最费时的乘法进行分析和改进；

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。