同余方程

基于三次同余方程的增强的Rabin密码体制

Enhanced Rabin cryptosystem based on cubic congruence equation

采用并发方法，用勒让德符号和同余方程等数论知识构造了适合混淆Java程序的不透明谓词簇。

We adopt concurrency method , and use the knowledge of the number theory , such as the Legendre symbol and the the congruence equation to construct some families of the opaque predicates that are suit for Java program .

n元一次同余方程的解与自由模Zm~（（n））

The Solution of n Unknown First Order Congruent Equation and Free Module Z_m ~ (( n ))

在自由模的理论基础上，给出n元一次同余方程解的形式，解的个数定理和求解方法等结论。

On the base of free modular theory , give out the form of solution of n unknown first order congruent equation and theorem of solution number and solving method .

文章通过对第二型优化正规基Lambda矩阵所涉及的同余方程组进行优化并采用合理的预计算方法，实现了对第二型优化正规基Lambda矩阵的快速计算。

This paper presents an efficient algorithm about Lambda matrix of type II normal basis by use of optimization calculation of the related equations and new technique about precomputation .

用初等方法给出了同余方程x2≡ax（modpl）的解的直接公式，并由此得到了相应的解数公式及阶的估计。

By using elementary methods , the formula for the solutions of the congruence x 2 ≡ ax ( mod pl ) is given . And the corresponding formula for the number of solutions is also given .

利用同余方程解决k-aryn-cube网络上距离为t的完美资源布局问题，它比通常利用错误效正码简单得多，而且容易实现。

The Congruence equation is used to solve perfect distance-t resource placement in a k-ary n-cube . This approach is more simple than using error-correcting coding and easy to be implemented .

多模数线性同余方程组在存取控制技术中的应用

The Application of Multi-modulus System of Linear Equations in Access Control

给出了一类同余方程组解数的公式或渐近公式。

Solution of a congruence Equation in the Primitive Root of ModuloP ;

一般线性同余方程组有解的判定条件

Condition of solution about general linear congruent equation class

M3与一次同余方程之解的一种关系

A relation between m_3 and Linear Congruence Equations

同余方程组的改进性解法

The Improving Algorithm of Surplus Equation Group

关于以自然数为模的一次同余方程组的转换定理

A note on a transference theorem on the systems of linear congruences modulo natural numbers

有限域上多项式的根与质数模高次同余方程

The Roots of Polynomials over a Finite Field and Prime Number Model Higher Degree Congruence Equations

同余方程加密方案的研究

Cryptography scheme based on congruence equation

连续正整数偶次幂之和同余方程的整数解

The Integral Solutions of the Congruence Equation for the Sum of even Exponent of The Continuous Positive Integers

关于改进以素数幂为模的一次同余方程组转换定理的一个注记

A Note on the Improvement of the Transference Theorem on the Systems of Linear Congruences Modulo Prime Powers

利用解析方法研究了一个新的同余方程组的解数性质，并给出了一个均值公式。

Using analytic methods the properties of a new congruence equation are studied and a mean value formula is given .

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。

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

同余方程组是指变量系数局限于特定有限域内数值的方程组，同类型的有限域导致了不同类型的方程组。比如单模数线性同余方程组和多模数线性同余方程组。

Congruence equations is the numberical equations with variable coefficient being limited to certain finite fields the same type of finite fields leads to different types of equations , such as single congruence equation and multi-modulus linear congruential equations .

正是这些领域提出的许多不同类型的问题促进了同余方程组理论的快速发展，使得同余方程组求解问题成为当今数学和密码学领域中最活跃、最热门的研究课题之一。

It is that different types of problems presented in these areas leading to the rapid development of the solving theory of equations , making the solving of congruence equations become one of the most active and popular topics in both the field of mathematics and cryptography research .

关于二项同余式方程的两个定理

Two theorems of the two terms Congruence Equations