Title | A zero-dimensional approach to Hermitian codes |
Author(s) | Edoardo Ballico, Alberto Ravagnani |
Type | Article in Journal |
Abstract | 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. |
ISSN | 0022-4049 |
URL |
http://www.sciencedirect.com/science/article/pii/S0022404914001388 |
Language | English |
Journal | Journal of Pure and Applied Algebra |
Volume | 219 |
Number | 4 |
Pages | 1031 - 1044 |
Year | 2015 |
Edition | 0 |
Translation |
No |
Refereed |
No |