English

On Gr\"obner Basis for certain one-point AG codes

Algebraic Geometry 2017-04-18 v2

Abstract

In this work we present a way to construct the so-called root diagram for one-point AG codes CC arising from certain types of curves X\mathcal{X} over Fq\mathbb{F}_q with plane model f(y)=g(x)f(y)=g(x). Using this root diagram we can get an algorithm to obtain a Gr\"obner basis for the submodule C\overline{C} associated to CC

Keywords

Cite

@article{arxiv.1703.06899,
  title  = {On Gr\"obner Basis for certain one-point AG codes},
  author = {Federico Fornasiero and Guilherme Tizziotti},
  journal= {arXiv preprint arXiv:1703.06899},
  year   = {2017}
}

Comments

12 pages, every comment is welcome

R2 v1 2026-06-22T18:51:27.811Z