Weierstrass semigroup at m+1 rational points inmaximal curves which cannot be covered by the Hermitian curve

Identificador:  imarina:6285536

Handle: https://hdl.handle.net/20.500.11797/imarina6285536

Autors:  Castellanos, Alonso Sepulveda; Bras-Amoros, Maria

Resum:
We determine the Weierstrass semigroup H(P infinity,P1, horizontal ellipsis ,Pm) at several rational points on the maximal curves which cannot be covered by the Hermitian curve introduced in Tafazolian et al. (J Pure Appl Algebra 220(3):1122-1132, 2016). Furthermore, we present some conditions to find pure gaps. We use this semigroup to obtain AG codes with better relative parameters than comparable one-point AG codes arising from these curves.