| 有限域上多项式的行列式的一种求法 |
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| 引用本文： | 苏磊,孙同森,郭晓沛,徐克舰.有限域上多项式的行列式的一种求法[J].青岛大学学报(自然科学版),2014(2):4-6. |
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| 作者姓名： | 苏磊 孙同森 郭晓沛 徐克舰 |
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| 作者单位： | 青岛大学数学科学学院,青岛266071 |
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| 摘 要： | 定义了多项式的范数、共轭多项式、多项式的行列式的概念，研究了Galois扩张上多项式的行列式的一种求法，还讨论了本原多项式与其在扩域中的因式以及其不同因式之间的关系。
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| 关 键 词： | 本原多项式 多项式的范数 共轭多项式 多项式的行列式 |
A Method to Find the Determinant of a Polynomial of Finite Field |
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| SU Lei,SUN Tong-sen,GUO Xiao-pei,XU Ke-jian.A Method to Find the Determinant of a Polynomial of Finite Field[J].Journal of Qingdao University(Natural Science Edition),2014(2):4-6. |
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| Authors: | SU Lei SUN Tong-sen GUO Xiao-pei XU Ke-jian |
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| Institution: | (College of Mathematics, Qingdao University, Qingdao 266071, China) |
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| Abstract: | At first determinant of a p Galois extensions factors as well as we give the conceptions of the norm of a polynomial, the conjugate polynomial and the olynomial. Then, a method is presented to find the determinants of polynomials of finite over a finite field and to discuss the relationships between a primitive polynomial and its the relationships between its factors. |
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| Keywords: | primitive polynomial norm of polynomial coniugate polynomial determinant of polynomial |
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