Rational points on cubic surfaces and AG codes from the Norm-Trace curve

Matteo Bonini, Massimiliano Sala, Lara Vicino

In this paper we give a complete characterization of the intersections between the Norm-Trace curve over ${\mathbb{F}}_{q^3}$ and the curves of the form $y=a{x}^3+b{x}^2+cx+d$, generaliz…