非专业的简易演算法、基础数论和离散机率。
General ease with algorithms, elementary number theory and discrete probability.
他的主要研究方向以及贡献是在与数论、代数学以及密码学有关的计算机算法上面。
Shoup's main research interests and contributions are computer algorithms relating to number theory, algebra, and cryptography.
RSA算法是基于数论的公钥密码体制，是公钥密码体制中最优秀的加密算法。
The RSA algorithm based on the numeric theory is the best encryption algorithm in public key cryptosystems.
从素基数DFT出发，应用数论理论讨论了一种应用二阶递归滤波结构的算法及零因子转换算法(ZFT)。
Based on the prime radix DFT and number theory, an algorithm using the second order recursive filter and the zero factor prime radix Fourier Transform (ZFT) is presented.
最大公因子计算是计算数论的基础课题之一，它在密码算法和密码分析中有着非常广泛的应用。
Greatest Common Divisor is one of the basic subjects in computational number theory, it has a wide application in encryption and analysis of cryptography.
RSA算法是基于数论的公开密钥密码体制。
The RSA algorithm based on the number theory is one of the public key encryption.
基于初等数论中的一些基本定理，本程序利用概率算法，快速判定一个大数是否为素数。
Based on some basic theorems in theory of Numbers this program takes advantage of probabilistic algorithm to test a large number for primality.
本文提出了四种改进的快速数论变换算法格式，其优点是不需要进行序号的二进制码逆序排列。
This paper presents four kinds of improved FFNT algorithms. The advantage of the methods is that there is no need to make bit arrangement in reverse order.
该软件包提供了基本的数学和数论函数，可对不同安全强度的算法进行实现。
The package provides math and Numerical Theory functions, which could support the implementation of algorithm on different security level.
配合求解非线性规划的GRG算法，数论投点法在（CNR）问题的优化计算中显示了较大的优越性。
With GRG algorithm in solving nonlinear programming to match, the number-theoretic Monte-Carlo metho…
算法数论：格点，数域，曲线和密码系统。
Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography.
算法数论：格点，数域，曲线和密码系统。
Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography.
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