Frobenius nonclassical components of curves with separated variables

Abstract

We establish a relation between minimal value set polynomials defined over Fq and certain q-Frobenius nonclassical curves. The connection leads to a characterization of the curves of type g(y)=f(x), whose irreducible components are q-Frobenius nonclassical. An immediate consequence will be the realization of rich sources of new q-Frobenius nonclassical curves.

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