English

Subcovers and codes on the $X_{n,r}$ curves

Algebraic Geometry 2018-03-12 v1

Abstract

In this work, subcovers Xn,rs\mathcal{X}_{n,r}^s of the curve Xn,r\mathcal{X}_{n,r} are constructed, the Weierstrass semigroup H(P)H(P_\infty) at the point PXn,rsP_\infty \in \mathcal{X}_{n,r}^s is determined and the corresponding one-point AG codes are investigated. Codes establishing new records on the parameters with respect to the previously known ones are discovered, and 108108 improvements on MinT tables are obtained.

Cite

@article{arxiv.1803.03518,
  title  = {Subcovers and codes on the $X_{n,r}$ curves},
  author = {Herivelto Borges and Alonso S. Castellanos and Guilherme Tizziotti},
  journal= {arXiv preprint arXiv:1803.03518},
  year   = {2018}
}
R2 v1 2026-06-23T00:47:42.703Z