Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/87525
Type: Artigo
Title: Complete arcs arising from a generalization of the hermitian curve
Title Alternative: 
Author: Borges, Herivelto
Motta, Beatriz
Torres, Fernando
Abstract: We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves, which is calculated by using exponential sums via Coulter's approach. We also single out some examples of maximal curves.
We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational point
Subject: Curva hermitiana
Corpos finitos (Álgebra)
Curvas algébricas
Curva maximal
Geometrias finitas
Country: Polónia
Editor: Polska Akademia Nauk
Citation: Acta Arithmetica. Instytut Matematyczny, v. 164, n. 2, p. 101 - 118, 2014.
Rights: fechado
fechado
Identifier DOI: 10.4064/aa164-2-1
Address: https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all/164/2/82518/
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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