%0 Journal Article
%T Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms
%A Simone Ugolini
%J Mathematics
%D 2013
%I arXiv
%R 10.1016/j.jnt.2014.12.027
%X In this paper we present and analyse a construction of irreducible polynomials over odd prime fields via the transforms which take any polynomial $f \in \mathbf{F}_p[x]$ of positive degree $n$ to $\left(\frac{x}{k} \right)^n \cdot f(k(x+x^{-1}))$, for some specific values of the odd prime $p$ and $k \in \mathbf{F}_p$.
%U http://arxiv.org/abs/1308.6723v3