查询词典 modular arithmetic

The finite field arithmetic is the base of cryptography and modular inversion is the kernel arithmetic operation.

有限域的运算是密码学的基础，而在有限域的所有运算中模逆运算是最核心也是最复杂的运算。

The software of the system has the following advantages: 1 A standard, precise and high—speed FFT arithmetic modular is choosed.

信号分析与工况诊断在微机上进行，因而易为厂、矿企业接受，技术上也有一定的先进性。

The distinguished feature of STD bus industrial control computer is high reliability, modular structure, standardization and powerfuI I/O,and that of DSP is the high speed of arithmetic computation. The system takes advantage of both of them,so the management software is designed for multi processor environ...

该系统将STD工控机的高可靠性、模块化、标准化和I／O能力强的优点与DSP的高速算术运算能力结合起来；本文所介绍的管理软件适用于多处理器环境，不仅对DSP模板进行全面的管理，而且为STD工控机用户提供了使用DSP的友好界面。

In the process of elliptic curve digital signature verification, the elliptic curve scalar multiplication and the elliptic point addition, which are under different coordinates, need to be calculated twice and once, respectively. With operands allocation, the two operations in the thesis are using the shared registers and arithmetic units as well as the same modular inverse process. No extra resource is needed for the introduction of point addition. Hence the resource utilization efficiency is optimized.

论文对这两种不同坐标系下的计算进行了寄存器和运算单元的统一调度，使它们的求逆运算共用同样的流程，减小了控制状态机的复杂度，并且在实现标量乘法的基础上，没有增加额外的运算单元或寄存器，点加运算的所有计算资源均和标量乘法公用，最大限度的提高了资源利用率。

We conclude that normalized cubic Gauss sums which modular is primes in arithmetic progressions are uniformly distributed around the circle and we get that there is no rule like quadratic Gauss sums.

并由此得出，模为算术级数中素数的正规化三次高斯和在单位圆周上是一致分布的。因此，在三次情况下不存在类似二次高斯和的判别准则。

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。