English

On the geometry of Hermitian one-point codes

Algebraic Geometry 2013-08-12 v3

Abstract

In this paper we study the algebraic-geometry of any one-point code on the Hermitian curve. Moreover, we characterize the minimum-weight codewords of some of their dual codes and describe many their small-weight codewords.

Keywords

Cite

@article{arxiv.1203.3162,
  title  = {On the geometry of Hermitian one-point codes},
  author = {Edoardo Ballico and Alberto Ravagnani},
  journal= {arXiv preprint arXiv:1203.3162},
  year   = {2013}
}