Parameters of AG codes from vector bundles

DOI10.1016/j.ffa.2012.04.004zbMath1278.94091OpenAlexW1988342783MaRDI QIDQ439083

Tohru Nakashima

Publication date: 1 August 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.04.004

zbMATH Keywords

algebraic-geometric codesvector bundlesalgebraic surfacescurvesprojective variety over finite field

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Maximal subbundles of vector bundles on a curve
• Linear codes and modular curves
• On the cohomology groups of moduli spaces of vector bundles on curves
• Algebraic surfaces and holomorphic vector bundles
• Reflection of sheaves on a Calabi-Yau variety.
• Semistable sheaves in positive characteristic
• AG codes from vector bundles
• SEMISTABILITY OF SYZYGY BUNDLES ON PROJECTIVE SPACES IN POSITIVE CHARACTERISTICS
• Cryptography and Coding

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