Generalized Fermat curves over F_q are F_q-Frobenius nonclassical w.r.t. the linear system of conics under necessary and sufficient conditions, yielding Stöhr-Voloch bounds in classical cases and explicit N_q(F) formulas in nonclassical cases.
F.;Wronskians and linear independence in fields of prime characteristic, Manuscripta Math., 59, 457-469, 1987
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Frobenius nonclassicality of generalized Fermat curves with respect to conics
Generalized Fermat curves over F_q are F_q-Frobenius nonclassical w.r.t. the linear system of conics under necessary and sufficient conditions, yielding Stöhr-Voloch bounds in classical cases and explicit N_q(F) formulas in nonclassical cases.