On Gr\"obner Basis for certain one-point AG codes
Abstract
In this work we present a way to construct the so-called root diagram for one-point AG codes C arising from certain types of curves X over Fq with plane model f(y)=g(x). Using this root diagram we can get an algorithm to obtain a Gr\"obner basis for the submodule C associated to C
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.