Permutation polynomials of finite fields of even characteristic from character sums

2024/06/21 by Chen, Ruikai, Mesnager, Sihem · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2406.15322

Abstract

In this paper, we investigate permutation polynomials over the finite field \mathbb F_qⁿ with q=2^m, focusing on those in the form Tr(Ax^q+1)+L(x), where A∈\mathbb F_qⁿ^* and L is a 2-linear polynomial over \mathbb F_qⁿ. By calculating certain character sums, we characterize these permutation polynomials and provide additional constructions.

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