We investigate several types of linear codes constructed from two families 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 at an Fq-rational point is shown to be symmetric.
AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves / Montanucci, M.; Timpanella, M.; Zini, G.. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - 109:1(2018), pp. 1-18. [10.1007/s00022-018-0428-0]
AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves
Zini G.
2018
Abstract
We investigate several types of linear codes constructed from two families 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 at an Fq-rational point is shown to be symmetric.
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