Welcome to the resource topic for 2010/034
Title:
On the order of the polynomial x^p-x-a
Authors: 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.
ePrint: https://eprint.iacr.org/2010/034
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .