Several classes of permutation polynomials of the form (xpm − x + δ)s + x over Fp2m

• Main Authors: Xu, Guangkui, Luo, Gaojun, Cao, Xiwang
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics::Algebra; Finite Field; Permutation Polynomial
• Online Access: https://hdl.handle.net/10356/155661
• Institution: Nanyang Technological University

In this paper, we give a further study on the permutation behavior of polynomials of a special form by considering the number of solutions of certain equations over finite fields. First, four classes of permutation polynomials of the form (x2m+x+δ)s+x over F22m are presented. Notably, some necessary...