A Class of Binomial Permutation Polynomials

Abstract

In this note, a criterion for a class of binomials to be permutation polynomials is proposed. As a consequence, many classes of binomial permutation polynomials and monomial complete permutation polynomials are obtained. The exponents in these monomials are of Niho type.

Cited by in corpus (12)

• Several Classes of Permutation Trinomials From Niho Exponents
• Permutation polynomials on F_q induced from bijective Redei functions on subgroups of the multiplicative group of F_q
• Permutation polynomials induced from permutations of subfields, and some complete sets of mutually orthogonal latin squares
• New Permutation Trinomials Constructed from Fractional Polynomials
• New Permutation Trinomials From Niho Exponents over Finite Fields with Even Characteristic
• On Two Conjectures about Permutation Trinomials over ${\mathbb{F}}_{3^{2k}}$
• New Classes of Permutation Binomials and Permutation Trinomials over Finite Fields
• More Classes of Complete Permutation Polynomials over $\F_q$
• Determination of a Type of Permutation Trinomials over Finite Fields
• Complete permutation polynomials over finite fields of odd characteristic
• Some new results on permutation polynomials over finite fields
• A new class of permutation trinomials constructed from Niho exponents