On Two Conjectures about Permutation Trinomials over $\mathbb{F}_{3^{2k}}$
Information Theory
2016-10-17 v1 math.IT
Abstract
Permutation polynomials with few terms attracts researchers' interest in recent years due to their simple algebraic form and some additional extraordinary properties. In this paper, by analyzing the quadratic factors of a fifth-degree polynomial and a seventh-degree polynomial over the finite field , two conjectures on permutation trinomials over proposed recently by Li, Qu, Li and Fu are settled, where is a positive integer.
Keywords
Cite
@article{arxiv.1610.04441,
title = {On Two Conjectures about Permutation Trinomials over $\mathbb{F}_{3^{2k}}$},
author = {Nian Li},
journal= {arXiv preprint arXiv:1610.04441},
year = {2016}
}