Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/242236
Type: Artigo
Title: Further examples of maximal curves which cannot be covered by the hermitian curve
Author: Tafazolian, Saeed
Teherán-Herrera, Arnold
Torres, Fernando
Abstract: We construct examples of curves defined over the finite field F-q6 which are covered by the GK-curve. Thus such curves are maximal over F-q6 although they cannot be covered by the Hermitian curve for q > 2. We also give examples of maximal curves that cannot be Galois covered by the Hermitian curve over the finite field F-q2n with n > 3 odd and q > 2. We point out some applications to codes related to an array coming from telescopic semigroups. (C) 2015 Elsevier B.V. All rights reserved.
We construct examples of curves defined over the finite field F-q6 which are covered by the GK-curve. Thus such curves are maximal over F-q6 although they cannot be covered by the Hermitian curve for q > 2. We also give examples of maximal curves that can
Subject: Curva maximal
Curva hermitiana
Corpos finitos (Álgebra)
Country: Países Baixos
Editor: Elsevier
Citation: Further Examples Of Maximal Curves Which Cannot Be Covered By The Hermitian Curve. Elsevier Science Bv, v. 220, p. 1122-1132 MAR-2015.
Rights: Fechado
Identifier DOI: 10.1016/j.jpaa.2015.08.010
Address: https://www.sciencedirect.com/science/article/pii/S0022404915002170
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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