查询词典 modular function

This code sets the base of the modular arithmetic on the CCalculateTreeVisitor, runs the visitor on the expression tree, and gets the result from the top of the visitor stack.

此代码设置关于CCalculateTreeVisitor模运算的基础，运行在表达式树的游客，并得到了从游客栈顶的结果。"/页"

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。

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。

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。

By replacing pseudo-Mersenne numbers with generalized Mersenne numbers, we propose a new notion-Generalized Optimal Extension Fields, and study the fast arithmetic about multiplication and modular arithmetic in GOEFs.

利用广义Mersenne数代替伪Mersenne数，提出了广义最优扩域的概念，并研究其上的快速乘法运算和取模运算，为乘法运算给出了通用的复杂度公式，为取模运算给出了具体的运算公式，推广了Bailey，Mihailescu和Woodbury等在最优扩域上的相应结果。

Inthe paper, the blind inspection is executed by using modular arithmetic, namely, modulus 2arithmetic.(The result is 0 or 1). A algorithm with high transparency and robustness is realizedby smartly combining this arithmetic with binary chaotic sequence.

文中利用模数运算实现了音频水印的盲检测，即利用模2 运算，模2 取余(所得结果为0 或1)，很巧妙地将这种运算与二值化的混沌水印序列相结合，实现了一种不可感知度高，嵌入量大的高鲁棒性水印算法。

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。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。