查询词典 multiplication

NTRU, is based on the hard problem of lattice,in the whole flow of which it just involves with addition ,multiplication and inverse in the truncated polynomial ring.

对NTRU来说，除了安全性和速率，要处理的一个主要问题就是解密失败的问题，这个问题可以通过合理的参数选择把解密失败的概率控制在一个较小的值以内。

I felt that I could let through, I want to know polynomial multiplication.

觉得还可以就让通过，我想知道多项式乘法。

Autopolyploidy A type of polyploidy involving the multiplication of chromo-some sets from only one species.

同源多倍性：通常是由同一个体，同一纯种的染色体数目加倍而成的多倍性现象。

A good use of the integer type, the biggest 9999990 to support the decimal integer, It can perform large integers, plus or minus, multiplication, addition and modular, with a big round of the largest factions, extended Euclidean algorithm, the Chinese remainder theorem algorithm, Miller - Rabin primality testing algorithm, random generation of arbitrary integer spaces such as libraries, This kind of dynamic library has been used for commercial software, the reliability and speed is affirmed.

一个很好用的大整数的类，最大可支持9999990位的十进制整数，可进行大整数的加、减、乘、除和取模运算，并带有求大整数的最大公因数、扩展Euclidean算法、中国剩余定理算法、Miller-Rabin素性测试算法、随机生成任意位的大整数等函数库，这个类的动态库曾用于商业软件之中，其可靠性和速度是得到确认的。

This paper first analyses and summarizes the ststus quo and evolution trend of encryption, some common used cryptograph are introduced, including the algorithms used in symmetric cryptosystem and asymmetirc cryptosystem. We describe the theory of each algorithms and compare the elliptic curve cryptosystem with the other two asymmetric cryptosystems to show the advantages of this algorithm. Second, the principle of ECC is discussed, including the math foundation of ECC, basic conception of elliptic curves, constructiong idea of ECC, operation on the elliptic curve and so on. Third, the current attacks of ECC were analyzed deeply, and an algorithm based on limited prime number field was constructed. We analyzed its realizability in theory, and implement it by using certain function of MIRACL software package. Latter half in this paper, the implementation model of a simple elliptic curve encryption system which based on GF has been introduced. The paper also put a deep analysis on the algorithm of point addition and point multiplication.

本文首先对密码技术的发展现状及其发展趋势进行了分析和综述，详细的介绍了私钥密码系统和公钥密码系统的发展，说明各种算法的原理和优缺点，并给出了一些典型的密码体制的简要分析，重点将椭圆曲线算法与其它几种公钥密码算法比较，说明椭圆曲线算法的优势；其次，探讨了椭圆曲线密码体制的原理，包括椭圆曲线密码的数学基础、基本概念、椭圆曲线密码体制的构造思想等问题；第三作者对椭圆曲线的攻击现状作了详细的分析，针对所使用的大素数域F_p，设计了素数域上安全椭圆曲线产生的算法，从理论上做了可实施性分析，从软件上做了具体实现；在本文的后半部分，提出了一个简单的基于有限素数域上的椭圆曲线加密方按算实现模型，并对SECES中设计的点加和点乘运算进行了深入分析。

The conventional probability field LDPC BP decoding algorithm is too complex, it has much floating-point calculation such as multiplication and exponential.

论文最后对多进制LDPC码进行了一定研究，并提出了一种更简化的译码算法。

An iterative reasoning algorithm with time delay of CD is proposed in this paper to resolve time delay of complex system. It is an effective approximating reasoning algorithm for its polynomial time complexity. It realizes dynamic reasoning of causality diagram through multiplication of linkage strength matrix and probability vector when the CD has time delay.

本文针对复杂系统的时间延迟性提出了带时间延迟的因果图迭代推理算法，该算法可以在多项式时间复杂度内完成，是一种有效的近似推理算法。

In their main outlines, these two great sects have retained the characteristics of the Purana period, but differences of view on minor points have lead to a multiplication of schismatic divisions, especially among Vishnu-worshipers.

在他们的主要轮廓，这两个伟大的教派保留的特点Purana时期，但意见分歧小点导致的分裂增殖分裂，尤其是毗湿奴，朝拜。

But the space is the matter, the matter is the string vibration, only has from this the time which vibrates f=1/T to draw out only then has the physics significance, therefore T is in the true significance time, from this deduction: What imaginary number Ict expresses is void, may write *ct,=I pure imaginary number, also is it with Number space Sigma (x1i*x2j)(i, j is subscript, i=j=1,2,3) differs 90 in the space, the shape for example: Psi ==a+Ib, constitutes a duplicate space by psi i* psi j,(definition mark * for ordinary multiplication) may use Four single numbers

而空间就是物质，物质就是弦的振动，只有从这个振动f=1/T引出的时间才有物理意义，所以T才是真正意义上的时间，由此推论：虚数Ict所表达的是一个虚空间，可以写成*ct，=I纯虚数，也即它与实空间Σ(x1i*x2j)(i，j为下标，i=j=1，2，3)在空间上相差90度，形如：ψ==a+Ib，由ψi*ψj构成一个复空间，可用四元数

Their putrescence is evident, their stagnation is unhealthy, their fermentation infects people with fever, and etiolates them; their multiplication becomes a plague of Egypt.

那些地方的腐臭是明显的，淤滞是有害的，发酵作用能使里面的生物得热病，并促使衰亡。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。