Algebraic Structure of Permutational Polynomials over finite fields

Speaker: YUAN Pingzhi

Venue: 820 Haina Complex Building 2, Zijingang Campus

Abstract: In this talk, we propose some new algebraic structures of permutation polynomials (PPs) over  finite fields. As two applications of these new algebraic structures, we give some classes of new PPs over  finite fields and answer an open problem raised by Charpin and Kyureghyan in their paper [Finite Fields Appl. 15 (2009), no. 5, 615-632], and we improve some results of Ding and Zieve. This talk is based on the results in [P. Yuan, Algebraic Structure of Permutational Polynomials over  finite fields, Commun Algebra, DOI: 10.1080/00927872.2025.2476727]