The theta divisor of a Jacobian variety and the decoding of geometric Goppa codes

DOI10.1016/0022-4049(95)00008-9zbMath0857.94019OpenAlexW2093441077MaRDI QIDQ1923536

Thierry Henocq, Denis Rotillon

Publication date: 12 March 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00008-9

zbMATH Keywords

Jacobian varietyalgebraic curvetheta divisordecoding algorithmKlein quarticgeometric code

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Decoding (94B35) Curves in algebraic geometry (14H99)

Cites Work

• On certain curves of genus three with many automorphisms
• On the decoding of algebraic-geometric codes over F/sub q/ for q<or=16
• On a characterization of a Jacobian variety
• Codes and information
• Codes on the Klein quartic, ideals, and decoding (Corresp.)
• Decoding algebraic-geometric codes up to the designed minimum distance
• Achieving the designed error capacity in decoding algebraic-geometric codes
• Majority coset decoding
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