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arXiv · 1709.05979

AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves

Maria Montanucci·Marco Timpanella·Giovanni Zini
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Abstract

We investigate several types of linear codes constructed from two families $\tilde{\mathcal S}_q$ and $\tilde{\mathcal R}_q$ of maximal curves over finite fields recently constructed by Skabelund as cyclic covers of the Suzuki and Ree curves. Plane models for such curves are provided, and the Weierstrass semigroup $H(P)$ at an $\mathbb{F}_{q}$-rational point $P$ is shown to be symmetric.

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Maria Montanucci, Marco Timpanella, Giovanni Zini. 2017-09-15. AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves. https://arxiv.org/abs/1709.05979

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