A note on permutation polynomials over finite fields

Abstract

Permutation polynomials over finite fields constitute an active research area and have applications in many areas of science and engineering. In this paper, two conjectures on permutation polynomials proposed recently by Wu and Li [19] are settled. Moreover, a new class of permutation trinomials of the form $x+\gamma {\text{Tr}}_{q^n/q}(x^k)$ is also presented, which generalizes two examples of [10].

References in corpus (2)

• Several Classes of Permutation Trinomials From Niho Exponents
• Several Classes of Permutation Trinomials over ${\mathbb{F}}_{5^n}$ From Niho Exponents

Cited by in corpus (1)

• A new class of permutation trinomials constructed from Niho exponents