Algebraic Geometric codes on minimal Hirzebruch surfaces

Jade Nardi

We define a linear code $C_{\eta }({\delta }_T,{\delta }_X)$ by evaluating polynomials of bidegree $({\delta }_T,{\delta }_X)$ in the Cox ring on ${\mathbb{F}}_q$-rational points of the Hirzebruch surface of parameter $η…