| 一类线性化多项式的核 |
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| 引用本文： | 金永,姜敬敬.一类线性化多项式的核[J].吉林大学学报(理学版),2002,58(1):86-89. |
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| 作者姓名： | 金永 姜敬敬 |
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| 作者单位： | 中国民航大学 理学院, 天津 300300 |
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| 摘 要： | 设C为线性化多项式的友矩阵, I为与C同阶的单位矩阵. 通过分析C+I的结构, 给出其可逆的充分必要条件, 并基于此给出核与迹函数的核交为平凡的线性化多项式.
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| 关 键 词： | 有限域 迹函数 线性化多项式 |
| 收稿时间： | 2019-11-18 |
Kernel of a Class of Linearized Polynomials |
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| JIN Yong,JIANG Jingjing.Kernel of a Class of Linearized Polynomials[J].Journal of Jilin University: Sci Ed,2002,58(1):86-89. |
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| Authors: | JIN Yong JIANG Jingjing |
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| Institution: | College of Science, Civil Aviation University of China, Tianjin 300300, China |
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| Abstract: | Let C be the companion matrix of a linearized polynomial andI be the identity matrix of the same order. We gave a necessary and sufficient condition for its reversibility by analyzing the structure of C+I, and based on this, we gave linearized polynomials
whose kernel had trivial intersection with the kernel of trace function. |
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| Keywords: | finite field trace function linearized polynomial |
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