Codes associated to the zero-schemes of sections of vector bundles

DOI10.1016/j.ffa.2009.06.002zbMath1180.94090OpenAlexW1984381374MaRDI QIDQ1046468

Tohru Nakashima

Publication date: 22 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.06.002

zbMATH Keywords

vector bundlesalgebraic geometric codesCayley-Bacharach property

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

Uniformity for geometric codes over large extensions of \(\mathbb F_q\)

Cites Work

• Unnamed Item
• Evaluation codes at singular points of algebraic differential equations
• Unstable vector bundles and linear systems on surfaces in characteristic p
• Linkage and codes on complete intersections
• Cayley-Bacharach and evaluation codes on complete intersections
• Bertini theorems over finite fields
• On Reider's method for surfaces in positive characterstic.

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