Galois theory

Finally , the Galois theory is applied to matrix C-ring to obtain some useful results .

其次结合伽罗华理论将上环的一些主要性质推广到C-环，进而得到了C-环中的一些有意义的结论。

Long standing questions about compass and straightedge construction were finally settled by Galois theory .

长期存在的问题，指南针和直尺建设的最后解决伽罗瓦理论。

Based on the Galois theory , we know the root solution of real coefficient cubic equation .

由域论的Galois理论，我们知道实系数三次方程有根式解。

Galois Theory of Total and Partial Functions in Many-Valued Logics

部分多值逻辑函数的Galois理论

A number of ancient problems concerning Compass and straightedge constructions were finally solved using Galois theory .

从目前的罗盘和直尺古代建筑的一些问题终于解决了使用伽罗瓦理论。

Based on Galois theory of definite field , using the square prime sequence , the code function of basic prime code is modified and extended .

在伽罗华有限域理论的基础上，用素域上的二次素数序列对素数码的码函数进行改进。

In the history of mathematics , Galois Theory and its founder Galois are always the main topics of study for mathematicians and historians .

在数学史上，伽罗瓦理论及其创立者伽罗瓦一直是各国研究者感兴趣的主题。

On the dialectic point of view , the influences of Cauchy 's systematical study on the theory of permutation to understanding Galois Theory to mathematicians in France are appraised .

从辩证的角度，评价了柯西系统的置换理论研究对法国数学家在深刻理解伽罗瓦数学工作过程中所产生的正、反两方面的影响。

Galois Theory is the crowning achievement of the ( algebraic ) theory of equations , and the most important thing is that Galois Theory has opened another new and wide world for mathematics while it closed the door of the ( algebraic ) theory of equations .

伽罗瓦理论是方程理论的最高成就，更重要的是它在终结旧的研究的同时又为数学研究开启了一片全新的广阔大地。

Secondly , Galois field theory and finite group theory related with elliptic curve cryptography are discussed .

然后介绍了与椭圆曲线加密密切相关的有限域、有限群等理论。

A Cryptosystem Based on Galois Fields Theory

一种基于伽罗瓦域的密码系统

This thesis is composed of following parts : the fundamental theory of the modern cryptology is briefly researched , in which the mathematic model of cryptology , data encrypt principle and Galois field theory related with elliptic curve crypto is discussed .

研究了现代密码学相关的基本理论，介绍了密码系统的数学模型、数据加密原理和与椭圆曲线加密密切相关的有限域理论；

The History of Transmission of Galois and His Theory

伽罗瓦及其理论传播史

The CRC-CCITT cyclic redundancy check code in international standard is studied in this paper . The polarities check ability , minimum code distance and capacity of correct single bit error of CRC-CCITT are proved by using galois field polynomial theory .

以国际标准CRC-CCITT循环冗余校验码为研究对象，利用近世代数多项式理论证明其奇偶校验性质、最小码距和纠正单比特错误能力。