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Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree

Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree

For each integer $s \geq 1$, we present a family of curves that are $\mathbb {F}_q$-Frobenius nonclassical with respect to the linear system of plane curves of degree $s$. In the case $s=2$, we give necessary and sufficient conditions for such curves to b