You are looking at a specific version 20100122:040630 of this paper.
See the latest version.
Paper 2010/034
On the order of the polynomial $x^p-x-a$
Xiwang Cao
Abstract
In this note, we prove that the order of $x^p-x-1\in \F_p[x]$ is $\frac{p^p-1}{p-1}$, where $p$ is a prime and $\mathbb{F}_p$ is the finite field of size $p$. As a consequence, it is shown that $x^p-x-a\in \mathbb{F}_p[x]$ is primitive if and only if $a$ is a primitive element in $\mathbb{F}_p$.
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Published elsewhere. Unknown where it was published
- Contact author(s)
- xwcao @ nuaa edu cn
- History
- 2010-01-22: received
- Short URL
- https://ia.cr/2010/034
- License
-
CC BY
