Scroll codes over curves of higher genus: reducible and superstable vector bundles

DOI10.1007/s10623-011-9561-6zbMath1259.94079OpenAlexW1990625574MaRDI QIDQ411496

Edoardo Ballico

Publication date: 4 April 2012

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

Full work available at URL: https://doi.org/10.1007/s10623-011-9561-6

zbMATH Keywords

vector bundles on curveselliptic quadric surfacescroll codesemistable vector bundles

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Computational aspects of algebraic curves (14Q05) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Scroll codes over curves of higher genus
• On Clifford's theorem for rank-3 bundles
• Scroll codes
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• The maximal rank conjecture and rank two Brill-Noether theory
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• The gonality of curves on a Hirzebruch surface
• Linear series on a general \(k\)-gonal curve
• Error-correcting codes on projective bundles
• ON AN EXAMPLE OF MUKAI
• HIGHER RANK BRILL–NOETHER THEORY ON SECTIONS OF K3 SURFACES
• Clifford Indices for Vector Bundles on Curves
• Funny plane curves in characteristic P > 0
• A stratification of the moduli space of vector bundles on curves
• CLIFFORD'S THEOREM AND HIGHER RANK VECTOR BUNDLES
• Generation of vector bundles computing Clifford indices

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