On the number of rational points of Artin-Schreier's curves and hypersurfaces

DOI10.1007/s10623-024-01431-9MaRDI QIDQ6618630

Daniela dos Santos Oliveira, Fabio Enrique Brochero Martínez

Publication date: 14 October 2024

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

zbMATH Keywords

finite fieldsbilinear formsWeil's boundArtin-Schreier hypersurfaces

Mathematics Subject Classification ID

Rational points (14G05) Finite fields (field-theoretic aspects) (12E20)

Cites Work

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• The number of rational points of a class of Artin-Schreier curves.
• Explicit maximal and minimal curves of Artin-Schreier type from quadratic forms
• Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank
• Multidimensional cyclic codes and Artin-Schreier type hypersurfaces over finite fields
• Handbook of Finite Fields
• The number of points on certain algebraic curves over finite fields
• Polars of Artin-Schreier curves
• Artin-Schreier curves given by \(\mathbb{F}_q\)-linearized polynomials

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