Two-Point AG Codes on the GK Maximal Curves
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Publication:2976991
DOI10.1109/TIT.2015.2511787zbMath1359.94833arXiv1507.06620OpenAlexW2963554547MaRDI QIDQ2976991
Alonso Sepúlveda Castellanos, Guilherme Tizziotti
Publication date: 28 April 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.06620
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (16)
Two-point AG codes from the Beelen-Montanucci maximal curve ⋮ Weierstrass semigroup and pure gaps at several points on the \(GK\) curve ⋮ AG codes and AG quantum codes from the GGS curve ⋮ Multi-point codes from the GGS curves ⋮ Explicit equations for maximal curves as subcovers of the \(BM\) curve ⋮ Minimum weight codewords in dual algebraic-geometric codes from the Giulietti-Korchmáros curve ⋮ An approach to the bases of Riemann-Roch spaces ⋮ Multi point AG codes on the GK maximal curve ⋮ On the weights of dual codes arising from the GK curve ⋮ AG codes from \(\mathbb{F}_{q^7}\)-rational points of the GK maximal curve ⋮ New sextics of genus 6 and 10 attaining the Serre bound ⋮ Complete set of pure gaps in function fields ⋮ Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve ⋮ Unnamed Item ⋮ AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves ⋮ Weierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curve
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