Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
134 tokens/sec
GPT-4o
9 tokens/sec
Gemini 2.5 Pro Pro
47 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

On Two Conjectures about Permutation Trinomials over $\mathbb{F}_{3^{2k}}$ (1610.04441v1)

Published 14 Oct 2016 in cs.IT and 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 $\mathbb{F}{3{2k}}$, two conjectures on permutation trinomials over $\mathbb{F}{3{2k}}$ proposed recently by Li, Qu, Li and Fu are settled, where $k$ is a positive integer.

Citations (4)

Summary

We haven't generated a summary for this paper yet.