AG codes from vector bundles

DOI10.1007/s10623-009-9354-3zbMath1200.14101OpenAlexW1995989798MaRDI QIDQ2638419

Tohru Nakashima

Publication date: 16 September 2010

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-009-9354-3

zbMATH Keywords

algebraic curvesstable vector bundlesfinite coveringsAG codes

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (2)

Parameters of AG codes from vector bundles ⋮ Construction of codes from Arakelov geometry

Cites Work

• Vector bundles on curves over \(\mathbb F_q\) and algebraic codes
• Holomorphic supergeometry and Yang-Mills superfields
• Varieties over a finite field with trivial Chow group of 0-cycles have a rational point
• Elementary abelian \(p\)-extensions of algebraic function fields
• On indecomposable vector bundles
• Error Correcting Codes over Algebraic Surfaces
• Cryptography and Coding

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