Galois

An Enumeration Theorem in Symplectic Geometry Over a Galois Field and the Construction of PBIB Designs

有限域上辛几何中的一个计数定理与PBIB设计的构作

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The Center of Crossed Product and Galois Extension of Rings

交叉积的中心与环的Galois扩张

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Describes the key exchange algorithm based on the discrete logarithm problem of elliptic curve over Galois Field Gives the conditions to construct a secure elliptic curve crypto-system after analyzing the crisis of this crypto-system.

分析了椭圆曲线密码的安全性，给出了构造安全椭圆曲线的条件。

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Presents a method to combine resilient functions over a Galois ring by a quasi affine function to get a new resilient function of higher resilient order.

给出了Galois环上弹性函数的一种构造方法：通过拟仿射函数组合若干弹性函数得到更高弹性阶的弹性函数。

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An implementation for computing multiplicative inverses in Galois fields GF ( 2 m ) is presented.

在扩展欧几里得算法的基础上提出了有限域乘法逆元的计算方法.

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What had led Galois to invent this theory?

是什么导致伽罗瓦发明这条理论?

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Properties of Exclusive OR Logic and Logic Realization of the Galois Fetid Arithmetic Operation

异或逻辑性质及伽罗华域算术运算的逻辑实现

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Then we show an algorithm design of the elliptic curve crypto based on Galois field.

设计完成了一种基于有限域的椭圆曲线加密算法，主要包括适合于168bit椭圆曲线加密的有限域乘法、加法、除法器的实现；

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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。

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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。

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The underlying algebraic structures are composite Galois fields GF (( 2~ n ) ~ m ) in a standard base representation.

本文主要研究基于有限域GF((2~n ) ~m ) 上的椭圆曲线 加密算法 (ECC)的硬件设计.

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