The finite field arithmetic, elliptic curve cryptography (ECC) and the finite field multiplier are investigated in this thesis.
本论文研究的主要内容是有限域算术、椭圆曲线加密算法和有限域乘法器。
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。
We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix.
利用有限域上一般线性群的BN对分解，给出有限域上的可逆矩阵在置换阵相似变换下的标准形。
Firstly, the influence of width of water body and height of water level to vibration property of structure was calculated, according to the finite field addition mass method.
首先，按有限域内附加质量方法计算了不同水体宽度、不同水位高度等对结构自振特性的影响。
The presentation of the finite field elements in WDB is studied. And based on the computing method for the optimum WDB, the design for the bit parallel multiplier of finite field is presented.
研究了有限域元素在弱对偶基（WDB）下的表示，基于弱对偶基下的最优弱对偶基的计算方法，给出了有限域比特并行乘法器的设计；
The first is establishing artificial boundary problem, because of simulating the infinite field from the finite field in which intercept from the infinite field, so we introduce artificial boundary.
用有限元模拟波动问题，其首要问题是人工边界的设置问题，由于要从无限域中截取有限区域来模拟无限域，所以要引入人工边界。
The property of the near field subwavelength imaging in a metal thin-film structure is investigated using finite difference time domain method based on Drude model.
采用基于等离子体物理模型的时域有限差分方法模拟了金属薄膜近场成像特性；采用薄膜传输矩阵方法计算了金属薄膜对倏逝波分量的放大作用。
Finite element difference method was used to simulate the temperature field of work piece during TSCR.
采用有限元差分法对连铸连轧生产过程的带钢温度场进行模拟。
Based on heat transferring, a thermal field model of Laser Inner Cutting system was established and numerically simulated with the help of finite element software ANSYS.
在传热学的基础上建立了激光焦点在透明材料内部作用时的温度场模型，借助于大型有限元分析软件ANSYS进行了数值模拟。
Dendrite growth has been simulated with the phase field method and finite difference schemes on a two dimensional rectangular domain with a uniform square mesh.
采用相场模型和有限差分方法，模拟了过冷纯金属熔体的枝晶生长，计算区域为二维正方形均匀网格。
On this basis, as the permeability of permanent magnetism material is non-linear, two gear wheel's magnetic field is simulated with finite element software, and analysis of the result is carried on.
在此基础上采用有限元分析软件对永磁材料的磁导率为非线性时的一对永磁齿轮传动磁场进行了仿真分析，并对结果进行了分析总结。
The additional axial finite magnetic field also has some influence on the field amplitude.
外加纵向有限磁场也对场幅值分布有一定的影响。
Using the finite element method software ANSYS, the stator temperature field of the hydroelectric generator is analyzed and calculated, the corresponding temperature field picture is given.
在此基础上应用有限元法的通用软件ANSYS，对大型水轮发电机定子温度场进行分析与计算，绘制了相应温度场图。
The near field distribution of uncoated and metal coated fiber optic probes were characterized by the method of three dimensional finite difference time domain (FDTD).
采用三维时间域有限差分（FDTD）方法研究了扫描近场光学显微镜中光纤微探针的近场分布特性。
A kind of finite elements for the temperature field analysis in shells is presented in this paper.
构造了一种适用于壳体温度场分析的壳体温度单元。
According to the trial, we use finite element analysis program to conduct temperature field and thermal stress analysis of the pier under sunshine, and compared the outcome with experimental results.
根据试验采用有限元分析程序，进行日照作用下桥墩的温度场和温度应力分析，并与实验结果进行对比。
The acoustical wave equation is presented a serial spatial and time iterative equations and room acoustics field is simulated using finite difference time domain method.
时域有限差分法将声波基本方程表示为一个时间和空间的迭代方程组，实现对室内声场中低频段的模拟计算。
According to the measured results, a reasonable boundary condition can be set up and then the field distribution can be calculated by using the finite element method.
按测量结果，确定了一个合理的边界条件，用有限元法模拟计算了沿轴场分布。
The results of transient temperature field calculated by finite difference method and ANSYS software agree with the experimental results.
高压氮气淬冷温度场的有限差分法计算结果和ANSYS有限元分析软件计算结果与实测结果吻合较好。
This paper, firstly introduces the elliptic curve in finite field and algebraic law of its point group, gives the order of the group.
该文首先介绍有限域上定义的椭圆曲线及点群运算规则，给出椭圆曲线点群的阶。
Based on the uniform geometrical theory of diffraction, the equivalent current is used to calculate the back scattering field for the finite cone.
在一致性几何绕射理论基础上，采用等效电流的方法给出了有限锥体在完全极化平面波照射下后向散射场的散射极化矩阵表示式。
The arithmetic software based on the polynomial basis of finite field is provided in this paper.
利用有限域的多项式基表示法研制了有限域的算术软件。
The finite temperature field theory have two formalisms imaginary time and real time formalisms.
有限温度场论包括虚时和实时两种理论形式。
To design the magnet structure, finite element method is used to analyze the permanent magnetic field.
在磁体结构设计中，本文采用有限元软件分别对单、双环形永磁结构进行了分析计算。
By using ALGOR finite element analysis system, the stress field and displacement field of deep excavation were calculated.
采用ALGOR有限元分析系统，对基坑开挖引起的应力场、位移场进行了分析计算。
Among the numerical simulation methods, the finite element method (FEM) is widely to solve the electric field with complex structure and multi-dielectric medium with high precision.
在常用数值求解方法中，有限元法以其通用性强，适用于结构复杂、多重介质复杂场域求解，且求解精度高等优点而被广泛用于电器电场的数值求解。
The three dimensional non linear finite element analysis of the transient temperature field during intermediate frequency quenching of diesel crankshaft was simulated by using of ANSYS.
利用ANSYS有限元分析软件，采用三维非线性有限元方法对柴油机曲轴中频淬火瞬态温度场进行了模拟计算；
The three dimensional non linear finite element analysis of the transient temperature field during intermediate frequency quenching of diesel crankshaft was simulated by using of ANSYS.
利用ANSYS有限元分析软件，采用三维非线性有限元方法对柴油机曲轴中频淬火瞬态温度场进行了模拟计算；
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