报告题目：A general construction of regular complete permutation polynomials

报告专家：吴霞 东南大学 教授

报告时间：2024年11月30日（周六）上午08:30-09:30

报告地点：腾讯会议 会议ID：256 406 651

报告摘要：Let r ≥ 3 be a positive integer and Fq the finite field with q elements. In this paper, we consider the r-regular complete permutation property of maps with the form f = τ ◦ σ_M ◦ τ ⁻¹ where τ is a PP over an extension field Fq^d and σ_M is an invertible linear map over Fq^d. When τ is additive, we give a general construction of r-regular CPPs for any positive integer r. When τ is not additive, we give many examples of regular CPPs over the extension fields for r = 3, 4, 5, 6, 7 and for arbitrary odd positive integer r. These examples are the generalization of the first class of r-regular CPPs constructed by Xu et al. (Des Codes Cryptogr 90:545–575, 2022).

专家简介：吴霞，东南大学数学学院教授，博士毕业于南京大学数学系。主要研究方向是代数数论、代数K理论和代数编码。在数论杂志《The Ramanujan Journal》、《Acta Arithmetica》、《Finite Fields and their Applications》、《Designs, Codes and Cryptography》等高水平期刊发表多篇SCI论文，主持完成国家自然科学基金青年基金一项，面上项目一项，正在主持面上项目一项。