查询词典 modular arithmetic

For improving the parallelizability of the co-processor, a set of new efficient instruction is introduced, including S-boxes substitution, general bit permutations, arbitrary rotates, modular arithmetic and so on.

从提高并行度角度出发，为使用频率非常高的密码操作，包括S盒、置换、模乘、模加等九种运算设计了专用指令。

Because the implanted hash function of HMAC is implemented as an individual function block, this block could be replaced easily according to the security request. The high capability of withstanding attacks of HMAC-ECDSA algorithm is proved by using modular arithmetic.

从密码学理论分析，HMAC可以使用密钥且HMAC算法的验证只在当时有效；在程序设计中实现HMAC时，可以将嵌入的哈希算法作为一个独立的模块，根据安全强度的需求替换哈希算法模块；在对攻击高抵抗性的证明中，利用模运算对HMAC-ECDSA算法的安全强度进行了验证。

The author mainly realized the method of generating the large random numbers and judging the prime number using Lehmann means,then three pairs of secure key with different lengths (256 bits,512 bits,1024 bits) was generated to meet the demand of different security grade. In encryption module,modular multiplication arithmetic of large number was realized adopting addition chaining. In decryption module,extended Euclid was used to get inverse,and the Chinese remainder theorem was used to realize decryption,which increased the speed of decryption greatly.

作者主要实现了大随机数的生成、采用整除小素数和勒曼测试法判定素数，可以生成三种不同长度的密钥对(256位、512位、1024位)来满足不同的加密安全等级的需求；加密模块中，选用了二进制序列的乘法方法，实现了大数模幂乘运算；解密模块中，引用了扩展的欧几里德法求逆元，并采用中国剩余定理实现解密过程，大大提高了解密速度。

A"bit-mismatch"squarer and a"digit-serial"polynomial multiplier have been designed for finite field arithmetic and the modular inverse in GF (2〓) can be calculated under the combination of the squarer and the multiplier. Based on the Montgomery method for the elliptic curve scalar multiplication, a new improved process has been put forward in the thesis.

论文改进了标量乘法Montgomery算法流程，利用寄存器间的数据交换，将0和1两种情况下的中间结果"点加一倍点"操作统一起来，简化了控制流程，使关键路径延时下降，而且减少了运算单元输入输出的连线逻辑。

Besides, we are going to search and collect the programs and libraries that can provide the modular arithmetic functions. We expect, in the next two years, to achieve our goal of completing the standards' software and issuing a referential handbook of design specifications.

本子计画现阶段已有相当不错之进展，而我们预估未来再以两年的时间继续完成我国数位签章标准演算法之完整实作，并撰写数位签章标准软体设计规格之参考手册。

The principal objects used by the NTRU PKCS are polynomial of degree N-1 having integer coefficient which are operated by addition,subtraction,multiplication and modular arithmetic.

在相同的安全条件下，NTRU仅需O(2)次操作和O密钥长度，而RSA需要O(3)次操作和O密钥长度，所以NTRU至少要比RSA快100倍，并且经过算法的改进NTRU效率有更大幅度的提高。

The principal objects used by the NTRU PKCS are polynomial of degree N-1 having integer coefficient which are operated by addition,subtraction,multiplication and modular arithmetic .

NTRU公开密钥体制算法主要对象是对N-1次多项式进行加、减、乘、模运算，所以该加密解密的速度比RSA等著名算法快得多，和椭圆曲线密码体制一起，成为新一代最优秀的公钥密码体制。

The high order context arithmetic model is applied to approximate the entropy limit in the process of arithmetic coding of the output information of the bitplane coding.

在对位平面量化的输出信息作算术编码过程中，为实现条件熵编码对极限熵的逼近，进行了高阶的条件算术编码建模。

The paper presented the arithmetic of difference Kalman Filtering and the arithmetic of KF and DKF used to the phase measurement.

本文提出了差分 Kalman 滤波算法，并把 Kalman 滤波和差分 Kalman 滤波算法用于相量测量。

On the basis of OCM, segmentation based on curvature radium is presented in the paper, in which curvature radium is calculated using parametric-surface fitting, and detecting edge points is realized from orthogonal direction, which ensure the integrality of edge points. Since the data is organized by cross-line in OCM, a new arithmetic, Double-direction Angle Difference arithmetic, is brought forward, which can pick up edge points more quickly.

物体的表面一般由多个曲面相交组成，要建立完整的几何模型，需要对测量数据进行区域分割——区分不同曲面的数据，现有的区域分割大多是对单视图的图像式测量数据进行的，但完整的CAD模型需要联合多个视图产生，本文在上面提出的三维正交模型的基础上，提出了三种区域分割方法：第一种方法是基于曲率半径的数据分区方法，通过二次参数曲面拟合计算局部曲率半径，从正交的多个方向进行检测，保证了边点提取的完整性。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。