A zero-dimensional approach to Hermitian codes
Algebraic Geometry
2013-12-13 v3
Abstract
We study the algebraic geometry of a family of evaluation codes from plane smooth curves defined over any field. In particular, we provide a cohomological characterization of their dual minimum distance. After having discussed some general results on zero-dimensional subschemes of the plane, we focus on the interesting case of Hermitian -point codes, describing the geometry of their dual minimum-weight codewords.
Keywords
Cite
@article{arxiv.1202.0894,
title = {A zero-dimensional approach to Hermitian codes},
author = {Edoardo Ballico and Alberto Ravagnani},
journal= {arXiv preprint arXiv:1202.0894},
year = {2013}
}
Comments
Paper reorganized and extended