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Efficient algorithms to determine the roots of: $p(x) = r^x $ in the finite field $GF(q)$, w...
This question is not posed well. Let $F={\mathbb F}_q$ where $q$ is a prime-power.
A polynomial $f\in F[x]$ gives rise to a function $\phi(f)\colon F\to F$ via evaluation. Moreover,
$\phi\colon F[x]\ …