Codes and the Cartier operator

DOI10.1090/S0002-9939-2014-12011-9zbMath1308.11067arXiv1206.4728OpenAlexW2964055652MaRDI QIDQ5418515

Alain Couvreur

Publication date: 4 June 2014

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

Full work available at URL: https://arxiv.org/abs/1206.4728

zbMATH Keywords

differential formsalgebraic geometry codessubfield subcodesclassical Goppa codescartier operator

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

On the number of points of algebraic sets over finite fields

Uses Software

• Magma

Cites Work

• The parameters of subcodes of algebraic-geometric codes over prime subfields
• The Magma algebra system. I: The user language
• Questions de rationalité des diviseurs en géométrie algébrique
• On the dimension of subfield subcodes
• Algebraic Function Fields and Codes
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On the parameters of Goppa codes
• Further results on Goppa codes and their applications to constructing efficient binary codes
• On the decoding of algebraic-geometric codes
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