Two-Point Codes on Norm-Trace Curves

DOI10.1007/978-3-540-87448-5_14zbMath1166.94356OpenAlexW1539745716MaRDI QIDQ3540928

Carlos Munuera, Fernando Torres, Guilherme Tizziotti

Publication date: 25 November 2008

Published in: Coding Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-87448-5_14

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (7)

The minimum weights of two-point AG codes on norm-trace curves ⋮ On Weierstrass Semigroups of Some Triples on Norm-Trace Curves ⋮ Rational points on cubic surfaces and AG codes from the norm-trace curve ⋮ Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables ⋮ On Weierstrass semigroup at \(m\) points on curves of the form \(f(y)=g(x)\) ⋮ Intersections between the norm-trace curve and some low degree curves ⋮ On plane curves given by separated polynomials and their automorphisms

Cites Work

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• Algebraic function fields and codes
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• On codes from norm-trace curves
• On Goppa codes and Weierstrass gaps at several points
• On the index of the Weierstrass semigroup of a pair of points on a curve
• The Weierstrass semigroup of a pair of points on a curve
• Group codes on certain algebraic curves with many rational points
• Codes From the Suzuki Function Field
• Weierstrass pairs and minimum distance of Goppa codes
• Goppa codes with Weierstrass pairs

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