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arXiv · 1703.06899

On Gröbner Basis for certain one-point AG codes

Federico Fornasiero·Guilherme Tizziotti
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Abstract

In this work we present a way to construct the so-called root diagram for one-point AG codes $C$ arising from certain types of curves $\mathcal{X}$ over $\mathbb{F}_q$ with plane model $f(y)=g(x)$. Using this root diagram we can get an algorithm to obtain a Gröbner basis for the submodule $\overline{C}$ associated to $C$

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Federico Fornasiero, Guilherme Tizziotti. 2017-04-14. On Gröbner Basis for certain one-point AG codes. https://arxiv.org/abs/1703.06899

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