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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。

A category of reconfigurable modular parallel micromanipulators, whose structures are decoupled are proposed.

针对国内各种结构并联微动机器人结构复杂、不易标定等问题，提出了一类新型的结构解耦可重组模块化并联微动机器人。

The methodology classified the objects of module partition to improve the flexibility and maneuverability. In addition, the methodology focused on research of module partition method, which faced the category of "modular transformation of the existing products ". The methods commendably meet the current needs of enterprises and have strong practical significance. In the end, presented the corresponding mathematical methods.

针对两类方法的优缺点，提出了一种柔性化模块划分方法，该方法突出了模块划分的对象分类，在提高划分方法柔性的同时，也更具可操作性；并着重研究分析了"面向已有产品模块化改造"范畴的模块划分分组方法，并明确了相应的谱系聚类数学方法，该方法较强地适应了当前企业的设计需求，具有较强的实践意义。

What have Java only probably is modular ability is possible after character joins Jdk extend the concept of Osgi.

或许只有java的模块化特性加入到jdk之后才有可能将osgi的理念推广开。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。