Further examples of maximal curves which cannot be covered by the Hermitian curve

Autor(es)

Tafazolian, Saeed ^[1] ; Teheran-Herrera, Arnoldo ^[2] ; Torres, Fernando ^[3]

Afiliação do(s) autor(es)

^[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Tehran 15914 - Iran

^[2] Ind Univ Santander, Bucaramanga - Colombia

^[3] IMECC UNICAMP, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 220, n. 3, p. 1122-1132, MAR 2015.
• Citações Web of Science: 7

Resumo

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. (AU)

• Processo FAPESP: 12/02255-3 - Curvas sobre corpos finitos
• Beneficiário: Saeed Tafazolian
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado