%0 Journal Article %T A zero-dimensional approach to Hermitian codes %A Edoardo Ballico %A Alberto Ravagnani %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1202.0894v3