On the geometry of Hermitian one-point codes

2012/03/14 by Edoardo Ballico, Ballico, Edoardo, Alberto Ravagnani +1
Mathematics · #14G15 #14H99 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14G15 #msc:14H99

paper · pdf · doi:10.48550/arxiv.1203.3162

arxiv created 2013/08/09 · arxiv updated 2013/08/12

Abstract

In this paper we study the algebraic-geometry of any one-point code on the Hermitian curve. Moreover, we characterize the minimum-weight codewords of some of their dual codes and describe many their small-weight codewords.

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