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Chinese remainder theorem是什么意思,Chinese remainder theorem的意思翻译、用法、同义词、例句

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常用词典

  • [数] 孙子剩余定理

  • 例句

  • This tinkering led them to apiece of ancient maths known as the Chinese remainder theorem.

    这次改变使他们联想到了古老的数学问题——中国剩余定理。

  • The solution of system of linear congruence equations can be provided by the Chinese remainder theorem or recursive process.

    一般可以用中国剩余定理或者递推算法等方法给出一次同余方程组的解法。

  • A dynamic password authentication which is based on the Chinese remainder theorem and RSA public-key cryptography are represented. Finally analysis is made on the scheme security and feasibility.

    最后提出一种基于公钥密码和中国剩余定理的动态口令验证方案,进行方案安全性及性能的分析。

  • Using the theorem of linear Diophantine equations and the Chinese remainder theorem, we have constructed a class of trap-door knapsack public-key cryptosystems, which have a better security.

    利用不定方程理论及中国剩余定理,我们设计了一类陷门背包公开钥密码系统,它们具有更好的安全性。

  • Finally, the paper explains the Chinese remainder theorem.

    最后详细介绍孙子剩余定理。

  • On the basis of deeply delving into the coprime of polynome, several equivalent propositions are presented, including the reflection of number theorys Chinese remainder theorem in polynome theory.

    给出十几个关于多项式互素的等价命题,其中包括数论孙子定理在多项式理论中的反映。

  • In the fourth chapter, we introduce the lattice, the ideal and prove the Chinese remainder theorem in the distributive lattice on which we design a safe communication scheme.

    第四章讨论了分配格上的中国剩余定理及应用,介绍了格的预备知识、分配格上的理想和分配格上的中国剩余定理,并由此结论设计了一套新的安全通信方案。

  • The scheme is based on the Chinese Remainder Theorem and the paper builds an enhanced proxy multiple signature scheme based on an overall analysis of attacking schemes.

    本文的攻击方案一基于中国剩余定理,在全面分析攻击方案的基础上构造了一种增强的代理多重签名方案。

  • Resolution of range and velocity ambiguities is the most important problem in medium PRF(MPRF) pulse doppler radar. The theory of the ambiguity resolution algorithms is Chinese Remainder Theorem.

    解距离模糊和解速度模糊是中重复频率脉冲多普勒雷达中需要解决的重要问题,其算法的依据都是中国余数定理。

  • In this paper, a new authentication encryption scheme based on multi private key RSA and the Chinese Remainder Theorem (CRT) is proposed.

    根据RSA加密系统和中国剩余定理,提出了一种新的基于多密钥的RSA认证加密方案。

  • But the Chinese Remainder Theorem cannot solve the error and the blind region made in range and doppler velocity measurements.

    但是,单靠中国余数定理仍无法解决距离测量和多普勒频率测量中的误差和遮挡问题。

  • In this article, some applications of the Chinese remainder theorem are given in the number theory, polynomial ring, commutative ring and valuation theory.

    本文给出了孙子定理在数论、多项式环、一般可换环及赋值论中的若干应用。

  • New PFA algorithm does not depend upon Chinese Remainder Theorem.

    新算法不需要用余数定理作为指标映射的工具。

  • As an application of Chinese remainder theorem in IS-algebras, an isomorphism theorem in IS-algebras is given.

    作为IS-代数上的中国剩余定理的应用 ,同时给出了一个IS-代数的同构定理。

  • Application of this network to Chinese Remainder Theorem is also considered.

    它还被应用于中国余数定理的实现。

  • In this paper, after introducing the Chinese remainder theorem of the number theory, the Chinese remainder theorem of polynomials is analyzed.

    从数论中的中国剩余定理出发,在分析基于多项式上的中国剩余定理的基础上,提出了一种新的通信编码。

  • Meanwhile, in order to improve the computation speed of the server, the Chinese Remainder Theorem (CRT) is used in RSA decryption algorithm.

    同时为进一步提高服务器的运算速度,在服务器端利用中国剩余定理(CRT)对RSA解密算法中的模指数进行降幂处理。

  • The third part is the study and the educational functions of the Chinese Remainder Theorem.

    第三部分是孙子定理数学原理的研究与其教育功能。

  • The temporary keys are protected by the Chinese Remainder Theorem (CRT) in the first protocol, which is provably secure under the CDH assumption.

    第一个协议使用中国剩余定理(CRT)隐蔽临时密钥,在CDH假设下可证安全;

  • This paper presents an extended Chinese Remainder Theorem (CRT) valid for moduli non-mutually prime in integer residue sub-rings.

    本文描述了一种推广的孙子定理,针对噪扰模糊数据发展了一种基于该定理的模糊分辨算法。

  • And on this basis, we completed the circuit design of the binary-to-residue converter and the residue-to-binary converter based on the Chinese Remainder Theorem (CRT).

    以此为依据,完成了余数系统和二进制系统之间的前向转换电路设计,并基于中国剩余定理完成了后向转换电路设计。

  • The client balanced SSL handshake protocol, which is based on the Chinese Remainder Theorem, has effectively improved the performance of the server of the SSL VPN , the SSL VPN system.

    基于中国剩余定理的客户端平衡的SSL握手协议有效地提高了SSLVPN服务器的处理能力,也就提高SSLVPN系统的性能。

  • This paper presents the application of the Chinese Remainder Theorem in the private key operations of RSA crypto chip, and analyzes the throughput of information based on such structure.

    该文在介绍RSA算法实现数据加解密的基础上,描述了用中国剩余定理(CRT)实现RSA私钥运算的实现方法,并且对CRT在硬件设计时的特性进行了分析。

  • The new signature algorithm is based on the Chinese Remainder Theorem which has a relative short private key.

    该RSA签名算法基于中国剩余定理,采用较短的私人密钥。

  • 网络扩展资料

    中国剩余定理(Chinese Remainder Theorem,CRT)是数论中解决同余方程组的重要定理,其核心思想是通过模数互质的条件,将多个同余方程的解统一为一个唯一解(模所有模数的乘积)。以下是详细解释:


    1. 历史背景

    该定理最早见于中国南北朝时期的数学著作《孙子算经》中的“物不知数”问题:
    问题:今有物不知其数,三三数之剩二,五五数之剩三,七七数之剩二,问物几何?
    解法:通过构造满足条件的数,并利用模数(3、5、7)互质的特性,得到最小解为23。


    2. 数学表述

    条件:若模数 $m_1, m_2, dots, m_k$两两互质(即任意两数的最大公约数为1),则同余方程组
    $$ begin{cases} x equiv a_1(text{mod}m_1) x equiv a_2(text{mod}m_2) vdots x equiv a_k(text{mod}m_k) end{cases} $$
    在模 $M = m_1 times m_2 times dots times m_k$ 下有唯一解。


    3. 构造解的步骤

    1. 计算总模数:$M = m_1 times m_2 times dots times m_k$
    2. 计算部分模数:对每个 $m_i$,计算 $M_i = M / m_i$
    3. 求逆元:找到 $M_i$ 在模 $m_i$ 下的逆元 $y_i$(即 $M_i y_i equiv 1(text{mod}m_i)$)
    4. 组合解:$x = sum_{i=1}^k a_i M_i y_i(text{mod}M)$

    4. 应用领域


    5. 示例

    以《孙子算经》问题为例:
    $$ begin{cases} x equiv 2(text{mod}3) x equiv 3(text{mod}5) x equiv 2(text{mod}7) end{cases} $$
    解:$M=105$, $M_1=35$, $M_2=21$, $M_3=15$,逆元 $y_1=2$, $y_2=1$, $y_3=1$,最终解 $x = (2 times 35 times 2) + (3 times 21 times 1) + (2 times 15 times 1) = 233 equiv 23(text{mod}105)$。


    6. 限制与扩展

    如需进一步学习,可参考数论教材或密码学相关文献。

    网络扩展资料二

    Chinese

    解释

    Chinese 可以作为名词,指代中国人或者中文语言。也可以作为形容词,表示与中国有关的事物。

    例句

    近义词

    China-related,Chinese-speaking,Chinese-language

    反义词

    Non-Chinese,foreign,non-native

    remainder

    解释

    remainder 是一个名词,指代剩余部分或者余数。

    例句

    近义词

    Residue,rest,balance

    反义词

    Quotient,total,whole

    定理

    解释

    定理是指以一定条件和前提为基础,通过论证而得出的结论。

    例句

    近义词

    Theorem,proposition,lemma

    反义词

    Hypothesis,conjecture,speculation

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