以下为句子列表：
英文: Polynomials over the finite field include cyclotomic polynomials and irreducible polynomials constructed on different theories. In this paper, their properties and ways for their construction are explored and discussed.
中文: 摘要有限域上的多项式有分圆多项式和不可约多项式，其中各由数条原理构成。文中对其性质和构造方法进行了具体研究与论述。
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英文: Its result is exactly the same as that of the rescursive cyclotomic factorization algorithm (RCFA) which Martens (98) proposed by using polynomial algebra theory. So it has the advantages of simple structure and high efficiency.
中文: 它与马滕斯(Martens)利用多项式代数理论导出的递归割圆因式分解算法(RCFA)结果完全相同,具有结构简单、计算效率高的优点。
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