| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4596125 | Journal of Pure and Applied Algebra | 2015 | 14 Pages |
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 s-point codes, describing the geometry of their dual minimum-weight codewords.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Edoardo Ballico, Alberto Ravagnani,