Anticanonical codes from del Pezzo surfaces with Picard rank one

DOI10.1090/tran/8119zbMath1445.14042arXiv1903.09397OpenAlexW3028196707MaRDI QIDQ3298967

Jade Nardi, Alain Couvreur, Matthieu Rambaud, Emmanuel Hallouin, Régis Blache, Hugues Randriambololona, David A. Madore

Publication date: 17 July 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09397

zbMATH Keywords

finite fielddel Pezzo surfacesalgebraic geometric codes, anticanonical embeddings

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (4)

Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces ⋮ Toward good families of codes from towers of surfaces ⋮ The quadratic hull of a code and the geometric view on multiplication algorithms ⋮ Defects of codes from higher dimensional algebraic varieties

Uses Software

• Magma
• Code Tables

Cites Work

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