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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Tafazolian, Saeed [1] ; Teheran-Herrera, Arnoldo [2] ; Torres, Fernando [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 220, n. 3, p. 1122-1132, MAR 2015.
Web of Science Citations: 7
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. (AU)

FAPESP's process: 12/02255-3 - CURVES OVER FINITE FIELDS
Grantee:Saeed Tafazolian
Support Opportunities: Scholarships in Brazil - Post-Doctoral