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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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。

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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。

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