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The ECC theory was studied in this paper. Polynomial was used to complete the hardware design of all kinds of algorithm including multiplication, division, point addition, point doubling和 point multiplication in GF (2m).

本文研究了椭圆曲线密码学理论,采用多项式基实现了椭圆曲线在有限域GF(2m)中各种运算的硬件设计,这些运算包括乘法、除法、点加、倍点和点乘,并用软硬件结合的方式实现了ECC的加/解密流程。

In this thesis, we first discuss the algorithms of arithmetic operations over binary fields using a polynomial basis representation.

本文首先讨论了有限域上基本算术运算的算法,对有限域上的椭圆曲线理论进行了研究,分析了椭圆曲线上的核心算法——数乘算法。

Arranging two motors above shaker basket can be made to balanced elliptical track, and achieved a point with the center of force and mass of the basket by adjusting angle of weight.

将电机放置在筛箱的上面可以实现椭圆轨迹,且通过调节上下偏心块的夹角,可以实现力心和筛箱质心的重合,从而实现平动椭圆振动轨迹。

Starting with properties of cubic parabola, it is demonstrated elementarily that solving elliptic equations using Jacobian elliptic functions, analytic solutions for a class of nonlinear wave equations and properties of nonlinear waves can be obtained, especially for solitary waves.

从立方抛物线的特性谈起,用较初浅的方法,借助于雅可比椭圆函数求椭圆方程的解,说明一类非线性波方程可用行波法求解析解。

In this paper,we mainly discuss inverse problems for ellipticpartial differential equations,and parameter inversion and free boundary problemin elliptic equations have been paid much attention to many scientists for a longtime.

我们主要讨论椭圆型偏微分方程中的反问题,而在椭圆型方程的反问题中参数反演及其自由边界问题一直受到人们的关注,本文主要从事这方面研究,全文分为两部分。

Finally, a new function transform was proposed to solve nonlinear evolution equations with the help of the solutions of elliptic equation, and many new results are obtained

五、对椭圆方程进行讨论,提出新的函数变换并利用椭圆方程的解来求解非线性发展方程,从而得到大量新的周期波解。

Fourth, at basic of the improvement of Jacobi elliptic function expanded method, the extended Jacobi elliptic function expanded methods was proposed.

四、对Jacobi椭圆函数展开法进行改进和扩展,提出新的扩展的Jacobi椭圆展开法来求解非线性发展方程并得到许多新的周期波解。

The solution of the equation and the period of the particle motion for a non-pertubated system are expressed exactly by means of Jacobian elliptic function and the 1-st kind elliptic integral.Melnikov function of the rotated periodic orbit is constructed,and also bifurcation of the system is analyzed by the method.

利用Jacobian椭圆函数和椭圆积分给出了系统的解和粒子运动周期,用Melnikov方法构造了旋转型周期轨道的Melnikov函数,并用这个方法分析了系统的局部分叉性质。

Phase plane properties of an electron in Wiggler field are analysed by using Jacobian elliptic function and elliptic integral based on the pendulum equation for FEL.

从自由电子激光器的摆方程出发,利用Jacobian 椭圆函数和椭圆积分分析了系统的相平面特征,并利用加速器概念和束流动力学方法,讨论了系统的稳定性、增益和临界特征等问题。

Satellite in elliptic orbit has a low velocity near apogee and will flight over a particular geographical area for a substantial part of its orbital period ("apogee dwell").

由于运行于椭圆轨道上的卫星在其远地点附近有较长的停留时间,如果选择轨道远地点位于覆盖区域上空,则采用椭圆轨道卫星星座以进行区域性覆盖以取得很好的覆盖效果。

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