| 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), 2020, 58(1): 86-89. DOI: 10.13413/j.cnki.jdxblxb.2019428 |
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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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| 基金项目： | 教育部人文社会科学研究项目;中国民航大学科研启动基金;国家自然科学基金 |
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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, 2020, 58(1): 86-89. DOI: 10.13413/j.cnki.jdxblxb.2019428 |
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| Authors: | JIN Yong JIANG Jingjing |
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| Affiliation: | 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 and I 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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