The main means used in the paper are group theory, Galois field, module algebra and linear algebra.
文中涉及的主要理论有群论，伽罗华域，模代数和线性代数。
Modular inversion is a part of the kernel for computations in the Galois field GF (p) used by many public key cryptosystems.
有限域上的模逆运算是许多公钥密码系统使用的算法中的核心域运算之一。
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。
Firstly, the paper analyzes the coding and encoding principle of rs code, gets Galois field and generating polynomial using the MATLAB software, obtains the rs (204188) encoding, too.
先分析了RS码的编解码原理，通过MATLAB软件产生了域元素及生成多项式，还获取了RS(204,188)的编码。
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。
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。
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