Castle curves and codes
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Publication:2268672
DOI10.3934/amc.2009.3.399zbMath1196.94093OpenAlexW2077223818MaRDI QIDQ2268672
Fernando Torres, Carlos Munuera, Alonso Sepúlveda Castellanos
Publication date: 8 March 2010
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2009.3.399
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Riemann surfaces; Weierstrass points; gap sequences (14H55) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (13)
Quantum error-correcting codes from algebraic geometry codes of castle type ⋮ Locally recoverable codes from algebraic curves with separated variables ⋮ Quantum codes from a new construction of self-orthogonal algebraic geometry codes ⋮ Isometry-Dual Flags of Many-Point AG Codes ⋮ On the Ree curve ⋮ On Kummer extensions with one place at infinity ⋮ On a generalization of the Deligne-Lusztig curve of Suzuki type and application to AG codes ⋮ Weierstrass semigroup and codes over the curve \(y^q + y = x^{q^r + 1}\) ⋮ On geometric Goppa codes from elementary abelian \(p\)-extensions of \(\mathbb{F}_{p^s}(x)\) ⋮ Generalized Hamming weights of codes over the \(\mathcal{GH}\) curve ⋮ AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves ⋮ On certain self-orthogonal AG codes with applications to quantum error-correcting codes ⋮ Frobenius nonclassical components of curves with separated variables
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