One- and Two-Point Codes over Kummer Extensions

Ariane M. Masuda, Luciane Quoos, Alonso Sepúlveda

We compute the Weierstrass semigroup at one totally ramified place for Kummer extensions defined by $y^m=f(x{)}^{\lambda }$ where $f(x)$ is a separable polynomial over ${\mathbb{F}}_q$. In addi…