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arXiv · 1202.0894

A zero-dimensional approach to Hermitian codes

Edoardo Ballico·Alberto Ravagnani
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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.

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Edoardo Ballico, Alberto Ravagnani. 2013-12-12. A zero-dimensional approach to Hermitian codes. https://arxiv.org/abs/1202.0894

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