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arXiv · 1507.06620

Two-point AG codes on the GK maximal curves

Alonso Sepúlveda·Guilherme Tizziotti
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Abstract

We determine de Weierstrass semigroup of a pair of certain rational points on the GK-curves. We use this semigroup to obtain two-point AG codes with better parameters than comparable one-point AG codes arising from these curves. These parameters are new records in the MinT's tables.

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Alonso Sepúlveda, Guilherme Tizziotti. 2015-07-23. Two-point AG codes on the GK maximal curves. https://arxiv.org/abs/1507.06620

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