More Classes of Complete Permutation Polynomials over $\F_q$

Abstract

In this paper, by using a powerful criterion for permutation polynomials given by Zieve, we give several classes of complete permutation monomials over $\F_{q^r}$. In addition, we present a class of complete permutation multinomials, which is a generalization of recent work.

17 pages

References in corpus (5)

• A Class of Binomial Permutation Polynomials
• 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
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Cited by in corpus (2)

• Complete permutation polynomials induced from complete permutations of subfields
• Compositional inverses, complete mappings, orthogonal Latin squares and bent functions