Artin-Schreier curves given by \(\mathbb{F}_q\)-linearized polynomials

DOI10.1016/j.disc.2023.113630arXiv2012.01534MaRDI QIDQ6056723

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Publication date: 4 October 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01534

zbMATH Keywords

circulant matricesHasse-Weil boundArtin-Schreier curvesirreducible polynomial with prescribed trace

Mathematics Subject Classification ID

Plane and space curves (14H50) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06)

Cites Work

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• Explicit maximal and minimal curves over finite fields of odd characteristics
• Quadratic functions and maximal Artin-Schreier curves
• More on quadratic functions and maximal Artin-Schreier curves
• Generalized Reed-Muller codes and curves with many points
• Fibre products of Artin-Schreier curves and generalized Hamming weights of codes
• The number of rational points of a class of Artin-Schreier curves.
• The number of irreducible polynomials with the first two prescribed coefficients over a finite field
• On Circulant Matrices
• The number of points on certain algebraic curves over finite fields
• Polars of Artin-Schreier curves

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