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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.)

Complete arcs arising from a generalization of the Hermitian curve

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Author(s):
Borges, Herivelto [1] ; Motta, Beatriz [2] ; Torres, Fernando [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Fed Juiz de Fora, Inst Ciencias Exatas, Dept Matemat, BR-36036900 Juiz De Fora, MG - Brazil
[3] Univ Estadual Campinas, UNICAMP, Inst Math Stat & Comp Sci IMECC, BR-13083059 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: ACTA ARITHMETICA; v. 164, n. 2, p. 101-118, 2014.
Web of Science Citations: 1
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. (AU)

FAPESP's process: 11/19446-3 - Algebraic curves over finite fields
Grantee:Herivelto Martins Borges Filho
Support Opportunities: Regular Research Grants