Some families of permutation polynomials over finite fields
Number Theory
2013-10-08 v1
Abstract
We give necessary and sufficient conditions for a polynomial of the form x^r*(1+x^v+x^(2v)+...+x^(kv))^t to permute the elements of the finite field GF(q). Our results yield especially simple criteria in case (q-1)/gcd(q-1,v) is a small prime.
Keywords
Cite
@article{arxiv.0707.1111,
title = {Some families of permutation polynomials over finite fields},
author = {Michael E. Zieve},
journal= {arXiv preprint arXiv:0707.1111},
year = {2013}
}
Comments
7 pages