查询词典 imbedding theorem

Of course, the major reason for this is that the basic algorithms are very complex (such as Chinese Remainder Theorem, Theory of Quadratic Residues, and many kinds of cryptagraphic algorithms).

当然造成这种结果的原因是因为实现这些方案的基础算法很复杂（例如中国剩余定理、平方剩余定理以及各种密码算法）。

By using Chinese Remainder Theorem of input/output series, the internal connection between the structure of prime factor algorithm and Cooley-Tukey algorithms is revealed.

借助于输入输出序列的中国余数定理映射，本文揭示了素因子算法结构和Cooley-Tukey算法结构的内在联系。

Finally, the second number is determined using the first subnumber and the second subnumber and applying the Chinese remainder theorem.

最后，应用中国余数定理，采用该第一子数和该第二子数决定该第二数。

It turns out that the modulus of the RSA cryptosystem is easy to factor if the the ratio of the two prime factors of the modulus can be well approximated by a small fraction.(3) A fast public-key encryption scheme is developed by using the Chinese remainder theorem.

2找到了RSA公钥密码算法的一类弱密钥，指出如果RSA数的两个素因子的比值能够被一个小分数有效逼近的话，则RSA数是容易分解的。

Each of these three methods uses a different mathematic background, including one-way hash function, Chinese remainder theorem, and elliptic curve cryptosystem, to ensure the security of the secret key, and to meet the requirements of dynamic management such as solution to problems like adding and deleting groups, modifying relationships among groups, and changing of secret key, etc.

这三种方法分别使用不同的数学背景，包括单向杂凑函数、中国余数定理、以及椭圆曲线密码系统，用以确保秘密金钥的安全性，并且达到动态管理问题的需求，诸如：群组的新增与删除、群组关系的异动、以及更改秘密金钥等问题的解决方案。

In this paper, the relationship between the linear complexity and the 2-adic complexity is investigated based on the Chinese Remainder Theorem and some other related theories in the number theory, and the existence of N-periodic sequences that simultaneously achieve the maximum 2-adic complexity and a great k-error 2-adic complexity is proved.

文中借助数论中的中国剩余定理等相关理论研究了二元序列的2-adic复杂度与线性复杂度的关系，证明了具有最大2-adic复杂度以及较大k错2-adic复杂度的N周期序列的存在性，给出了具有这种性质的周期序列的数目的下界。

For RSA, the Rabin-Miller Test is employed to accelerate the production of the prime number and SMM and Chinese Remainder Theorem are used to optimize the decrypting process.

RSA方面，改进Rabin-Miller测试加速素数的生成，然后利用SMM和中国剩余定理对解密过程进行优化。

A traitor tracing scheme based on the Chinese remainder theorem is introduced. Propose another scheme based on the B-F scheme.

介绍了一种基于中国剩余定理的叛逆者追踪方案，并对Boneh D 和Franklin M 提出的叛逆者追踪方案[25]做了改进，使之能更好地适用于实际。

The Chinese Remainder Theorem is one of the greatest achievements in the Chinese traditional mathematics,which is on the theory of congruence of first degree. It's from the problem of the "Wu Buzhishu" in the Chinese classical mathematical work Sunzisuanjing.

"中国剩余定理"是中国传统数学中关于一次同余式理论的一项杰出成就，它源于中国数学典籍《孙子算经》中的"物不知数"问题，秦九韶在《数书九章》(1247)中将这一问题发展为求解一次同余式组的一般方法，称为"大衍总数术"。

In the paper, we improve CHAP protocol by substituting password in the protocol with fingerprint after analyzing the security of CHAP. In addition, an improved secure lock is designed by using the Chinese Remainder Theorem, which is used for key management of the confidential cell broadcast.

另外，针对GSM中加密小区广播的密钥管理问题，本文利用中国剩余定理设计了一种改进的"安全锁"，用于加密小区广播的密钥管理，保证了系统的前向安全和后向安全，降低了系统开销。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。