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Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms (1308.6723v3)
Published 30 Aug 2013 in math.NT and math.DS
Abstract: 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 $k \in \mathbf{F}_p$.
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