A class of coefficients of cyclotomic polynomials 一类分圆多项式的系数
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Power bases in maximal real subfields of some cyclotomic fields 一些分圆域的极大实子域的幂元整基
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Elementary studies on in france in the 17th - 19th centuries and liu hui ' s cyclotomic rule 19世纪法国数学家的圆周率初等研究与刘徽的割圆术
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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 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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First , considering the construction characteristic of reed - solomon code , we present a kind of new construction method for linear codes by using the factorization properties of cyclotomic polynomials on finite fields 在纠错码的设计与分析方面：首先，结合reed - solomon码的构造特点，利用有限域f _ q上分圆多项式的分解特性来构造f _ q上线性码。
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At last , by using the factorization properties of cyclotomic polynmials on finite fields and the construction characteristic of cyclic codes , we present the relation of the period distribution of cyclic codes and the period distribution of their dual codes , establish the explicit formula for the number of the codewords without inner - period of the cyclic codes and their dual codes , find the method for computing the dimension and the period distribution of narrow - sense primitive bch codes , and study the inverse question of period distribution of cyclic codes 最后，利用有限域上分圆多项式的分解特性和循环码的构造特点，揭示了循环码的周期分布与其对偶码周期分布之间的内在联系，确定了一般循环码及其对偶码内无内周期码字的精确计数公式，决定了狭义本原bch码的维数与周期分布，讨论了循环码周期分布的反问题。
