The aim of this paper is to give a characterization of a maximal curve given by the equation xn + ym = 1 over a finite field Fq2. © de Gruyter 2013.134613617Aguglia, A., Korchmáros, G., Torres, F., Plane maximal curves (2001) Acta Arith., 98, pp. 165-179Cossidente, A., Korchmáros, G., Torres, F., Curves of large genus covered by the hermitian curve (2000) Comm. Algebra, 28, pp. 4707-4728Fuhrmann, R., Garcia, A., Torres, F., On maximal curves (1997) J. Number Theory, 67, pp. 29-51Garcia, A., Stichtenoth, H., Xing, C.-P., On subfields of the hermitian function field (2000) Compositio Math., 120, pp. 137-170Garcia, A., Tafazolian, S., Certain maximal curves and cartier operators (2008) Acta Arith., 135, pp. 199-218Garcia, A., Tafazolian, S., O...
The purpose of this paper is to construct maximal curves over large finite fields using linearized p...
AbstractThe purpose of this paper is to construct maximal curves over large finite fields using line...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
We characterize certain maximal curves over finite fields defined by equations of type y n = x m + x...
AbstractIn this article we provide a characterization of maximal and minimal Fermat curves using the...
The number N of rational points on an algebraic curve of genus g over a finite field bb F-q satisfie...
AbstractIt is shown that the curve yq2−y=xqn+1q+1 over Fq2n with n≥3 odd, that generalizes Serre’s c...
AbstractIn this work we study the properties of maximal and minimal curves of genus 3 over finite fi...
AbstractWe study arithmetical and geometrical properties ofmaximal curves, that is, curves defined o...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
We show that an Fq2-maximal curve of genus 1/6(q - 3)q > 0 is either a non-reflexive space curve ...
AbstractThe aim of this paper is to give a characterization of maximal hyperelliptic curves C over a...
AbstractThis note contains general remarks concerning finite fields over which a so-called maximal, ...
AbstractIn this note we provide a characterization of maximal hyperelliptic curves C over a finite f...
It has been known for a long time that the Deligne-Lusztig curves associated to the algebraic groups...
The purpose of this paper is to construct maximal curves over large finite fields using linearized p...
AbstractThe purpose of this paper is to construct maximal curves over large finite fields using line...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
We characterize certain maximal curves over finite fields defined by equations of type y n = x m + x...
AbstractIn this article we provide a characterization of maximal and minimal Fermat curves using the...
The number N of rational points on an algebraic curve of genus g over a finite field bb F-q satisfie...
AbstractIt is shown that the curve yq2−y=xqn+1q+1 over Fq2n with n≥3 odd, that generalizes Serre’s c...
AbstractIn this work we study the properties of maximal and minimal curves of genus 3 over finite fi...
AbstractWe study arithmetical and geometrical properties ofmaximal curves, that is, curves defined o...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
We show that an Fq2-maximal curve of genus 1/6(q - 3)q > 0 is either a non-reflexive space curve ...
AbstractThe aim of this paper is to give a characterization of maximal hyperelliptic curves C over a...
AbstractThis note contains general remarks concerning finite fields over which a so-called maximal, ...
AbstractIn this note we provide a characterization of maximal hyperelliptic curves C over a finite f...
It has been known for a long time that the Deligne-Lusztig curves associated to the algebraic groups...
The purpose of this paper is to construct maximal curves over large finite fields using linearized p...
AbstractThe purpose of this paper is to construct maximal curves over large finite fields using line...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...