标量

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。

Using 2, 3 and 5 as bases of the multibase chains, an efficient scalar multiplication algorithm of elliptic curve is proposed.

该文给出了新的五倍点公式，同时以2、3和5作为基底，给出了一个利用多基链计算椭圆曲线标量乘的高效算法。

Finally, applied the two algorithms to scalar multiplication combined with the representation of 3-NAF.

最后结合3-NAF的编码方法，把两个新算法应用到标量乘法中。

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 improved algorithm on field multiplication leads the less logic elements to implement the scalar multiplication on the elliptic curve.

设计主要针对资源受限的应用环境：改进了有限域上的乘法运算、使用了没有预处理的标量乘算法。

The results show: all processors have better load balance; when the ratio of the execution time of a point addition to that of a point doubling is 3 during computing the scalar multiplication, the parallel efficiency of the proposed algorithm is up to 90%.

结果表明：各并行处理器单元具有较好的负载均衡特性；当执行并行基点判断算法，其标量乘的点加计算时间是点倍数计算时间的三倍时，算法的并行效率可达90%。

In the elliptic curve cryptosystem, the core operation is elliptic curve scalar multiplication, which is crucial to efficient implementation of elliptic curve cryptosystem.

在椭圆曲线密码体制中，核心运算就是椭圆曲线的标量乘运算，它是椭圆曲线密码体制快速实现的关键。

Defined the nodal velocity on the moving interface of theALE mesh as a product of a scalar and a shape vector, the kinematical boundary con-ditions on the free surface is modified to increase the freedom of the movements of thegrid on free interface.

将ALE网格运动界面节点的速度定义为一个标量和形状向量的乘积，用它修正自由液面网格速度与流场速度关系式，以增加自由面网格节点运动的自由度。

A vector multiplied by a scalar quantity is a vector in the same direction as the original vector.

乘以标量的矢量是一个与原矢量同向的矢量。

The vector hydrophone gives attention to two aspects: the vector quantity and scalar quantity, so more attention is paid on it.

矢量水听器由于兼顾了实际海洋声场的标量和矢量性质，而越来越受到人们的关注。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。