Using the Aubry-Perret bound, the paper shows that image inclusion and preimage multiplicity conditions on rational functions over finite fields imply one is a composition of the other.
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An Application of the Hasse-Weil Bound to Rational Functions over Finite Fields
Using the Aubry-Perret bound, the paper shows that image inclusion and preimage multiplicity conditions on rational functions over finite fields imply one is a composition of the other.