Also we study the ecc crypto theory in the field of public crypto system , in which the ecc encrypt principle , safety , reliability , as well as the structure of ecc based on galois field is focused on 研究了公钥加密系统中的椭圆曲线加密理论，详细阐述了有限域上椭圆曲线的结构及其基本运算； 3
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Chapter 3 introduces the correcting ability of the rs code . then it particularly states the definition and algorithm of galois field , and analyses the realization of the limited field multiplier based on the dual basis 第三章分析讨论了rs码的特点,给出了伽罗华有限域的定义与运算规则,推导和分析了基于对偶基的有限域乘法器实现方法。
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Then we show an algorithm design of the elliptic curve crypto based on galois field . as a main part , the design theory and concrete solution of it are presented step by step , ic chip design method for implementation of the algorithm is described in detail 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； 4
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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 论文的主要内容为： 1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； 2
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