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arxiv: 1203.3162 · v3 · pith:EEOMCQGHnew · submitted 2012-03-14 · 🧮 math.AG

On the geometry of Hermitian one-point codes

classification 🧮 math.AG
keywords codescodewordshermitianone-pointalgebraic-geometrycharacterizecodecurve
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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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