The k-Frobenius self-dual bases of F_{q^n} over F_q

发布时间：2022-02-24 来源：赢咖3 浏览次数：

Speaker:	麻常利	DateTime:	2022年03月3日（周四）下午2:30-3:30
Brief Introduction to Speaker: 麻常利，河北师范大学数学科学学院教授，博士生导师。主要从事代数组合与编码理论方面的研究工作。与王仰贤、霍元极教授合作，出版学术专著一部《矩阵结合方案》,主持国家自然科学基金两项。		Place:	网址: https://meeting.tencent.com/dm/DvQkxVtWVMPi
Abstract:Self-dual bases and normal bases of the finite field $\mathbb{F}_{q^n}$ over $\mathbb{F}_q$ have been found to be very useful in many fields, such as arithmetic, Fourier transform, coding theory, cryptography, etc. In this talk, $k$-Frobenius self-dual bases are introduced as a generalization of self-dual bases. We discuss the relationship between $1$-Frobenius self-dual bases and self-dual normal bases, and determine the number of $1$-Frobenius self-dual bases when $q$ is even.