查询词典 multiplication

Utilizing the complex multiplication property of the curves and using a modulo reduction and Frobenius expansion technique, Bring forward that there is a fast point multiplication method without precomputation on the curves, which is 6 times fast than the ordinary repeated-double-add method.

针对一类特征3的Koblitz椭圆曲线的点乘算法，利用这类曲线的复乘性质，使用模约减和Frobenius展开技巧，提出一种不带预计算的快速点乘算法。

Graph theory and topology was researched to establish graphic interpreter, boolean multiplication ⊙ of a matrix is inferred and defined, and simple sub-graphs are disconnected from complex graph by the multiplication ⊙; parameterization of graph is realized through a sequence of sub-graph entities linked by constraints.

研究了图形翻译器的图论和拓扑学理论基础，推出并定义了矩阵布尔乘运算〓，使用矩阵运算〓将复杂的图形拆分成一系列简单子图；以约束关联的子图实体序列实现图形的参数化。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

The dissertation expatiate on the distribute algorithm. The key operation in FIR digital filter is multiplication operation, and it can convert multiplication to look up table and addition by adopting the distribute algorithm. It is very suitable to adopt distribute algorithm in FPGA, because there are look-up tables in FPGA.

基于FPGA本身具有查找表的结构，非常适合使用分布式算法，在FIR滤波器的结构设计上，将FIR滤波器中关键的乘法运算转化为查找表的过程和加法运算的过程。

Thus, every member of UIO education is willing to dedicate oneself into our business.Our account bill carry on the principle of "addition, subtraction, multiplication and division". Addition means that we must provide the value added service to our customers, and exceed the customer's expectation; Subtraction means that we must refuse the waste inside the company; Multiplication means that we must insist to have a strong teamwork, share with everyone to gain the mutually promotion; Division means that we must refuse any illegal, wrongful or dishonest cooperation.

我们企业的账目清单执行"加减乘除"发展--"加法"：始终坚持为客户提供更多的增值服务，超越客户的期望；"减法"：始终坚持拒绝企业的内耗、最大程度的减少客户的损坏；"乘法"：始终坚持成员之间的紧密协作，优势分享，相互促进，实现企业与合作伙伴的资源共享、联盟合作；"除法"：始终坚持废除无意义的浪费，排除一切非法的、不正当的、不诚信交易与合作。

Besides, how to achieve fast point multiplication will influence the performance efficiency of the whole encryption system; in this article, for different situations, signed binary method and rolling window method are respectively applied to perform quick operation of elliptic curves point multiplication.

在密码层上实现了基于大素数域GFp=2~(192-2~(64)-1的密钥交换、ELGamal加密和椭圆曲线数字签名。

This process needs to be done is to factor the function (-1) ^ multiplied by the input image to achieve the center of filter change, and also requires a real matrix multiplied by a complex matrix by calling the two images of the multiplication process to achieve multiplication of the corresponding elements, calculating the anti-Fourier transform at the same time, the result multiplied by (-1) ^ and check the final calculation of the Department of the spectrum in fact.

这个程序需要完成的功能是用因子（-1）^乘以输入图像以实现滤波的中心变换，并还要求用一个实矩阵乘以一个复数矩阵通过调用两个图像的乘法程序来实现对应元素的相乘，同时计算反傅立叶变换，得到的结果乘以（-1）^并取其实部最后计算频谱。

Multiplication from 1 - 12 Times Tables, with a original Graphical method of visualisation of Multiplication using picture objects.

乘从1 - 12时报表，与原来的图形可视化方法使用的乘法图片对象。

The problem of scalar multiplication on the Jacobians of hyperelliptic curves is studied. A fast algorithm for scalar multiplication on the Jacobians of a kind of hyperelliptic curves based subfield is proposed with its computational cost analyzed.

讨论了超椭圆曲线密码体制的标量乘问题，对基于子域的一类超椭圆曲线Jacobian的标量乘提出了一个快速算法，并分析了算法的计算量。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人