Decoding by rank-2 bundles over plane quartics

DOI10.1016/j.jsc.2010.03.009zbMath1196.14033OpenAlexW2074447042MaRDI QIDQ975822

Drue Coles, Emma Previato

Publication date: 11 June 2010

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.03.009

zbMATH Keywords

vector bundlesGoppa codesKlein curve

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Vector bundles on curves and their moduli (14H60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

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Cites Work

• Elliptic codes over fields of characteristic 2
• Maximal subbundles of rank two vector bundles on curves
• Restricting semistable bundles on the projective plane to conics
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• Determinantal equations for secant varieties of curves
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• Rank Two Bundles on Algebraic Curves and Decoding of Goppa Codes
• A Geometric View of Decoding AG Codes
• Varieties of maximal line subbundles
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• Restriction of Stable Rank Two Vector Bundles in Arbitrary Characteristic
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• On the decoding of algebraic-geometric codes
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