%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