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TitleA zero-dimensional approach to Hermitian codes
Author(s) Edoardo Ballico, Alberto Ravagnani
TypeArticle in Journal
AbstractAbstract 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.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404914001388
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume219
Number4
Pages1031 - 1044
Year2015
Edition0
Translation No
Refereed No
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