Error-correcting codes from higher-dimensional varieties

DOI10.1006/ffta.2001.0313zbMath1033.94019OpenAlexW1969375834MaRDI QIDQ1604410

Søren Have Hansen

Publication date: 4 July 2002

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

Full work available at URL: https://semanticscholar.org/paper/588d1655722c81d8ed43fd0641e827576123a0d7

zbMATH Keywords

intersection theoryruled surfacesGriesmer boundDeligne-Lusztig surfacesHermitian hypersurface

Mathematics Subject Classification ID

Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Applications to coding theory and cryptography of arithmetic geometry (14G50)

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Cites Work

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• Ample line bundles on smooth surfaces.
• Numbers of solutions of equations in finite fields
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