AbstractIt is shown that the curve yq2−y=xqn+1q+1 over Fq2n with n≥3 odd, that generalizes Serre’s curve y4+y=x3 over F64, is also maximal. We also investigate a family of maximal curves over Fq2n and provide isomorphisms between these curves
For every q=n3 with n a prime power greater than 2, the GK-curve is an Fqjavax.xml.bind.JAXBElement@...
An elementary and self-contained argument for the complete determination of maximal plane curves of ...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
AbstractIt is shown that the curve yq2−y=xqn+1q+1 over Fq2n with n≥3 odd, that generalizes Serre’s c...
AbstractWe study arithmetical and geometrical properties ofmaximal curves, that is, curves defined o...
We introduce a family of algebraic curves over $\F_{q^{2n}}$ (for an odd $n$) and show that they are...
AbstractIn this note, we present a simple method for constructing maximal curves defined over Fq2m b...
The aim of this paper is to give a characterization of a maximal curve given by the equation xn + ym...
It has been known for a long time that the Deligne-Lusztig curves associated to the algebraic groups...
The genus g of an F-q2-maximal curve satisfies g = g(1) := q(q - 1)/2 or g less than or equal to g(2...
AbstractIn this paper we continue the investigation of Cohen–Macaulay projective monomial curves beg...
Abstract. A family of maximal curves is investigated that are all quotients of the Hermitian curve. ...
We characterize certain maximal curves over finite fields defined by equations of type y n = x m + x...
AbstractThe Hasse Weil bound restricts the number of points of a curve which are defined over a fini...
For each prime power ℓ the plane curve Xℓ with equation Yℓ2ℓ+1=Xℓ2-X is maximal over Fℓ6. Garcia and...
For every q=n3 with n a prime power greater than 2, the GK-curve is an Fqjavax.xml.bind.JAXBElement@...
An elementary and self-contained argument for the complete determination of maximal plane curves of ...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
AbstractIt is shown that the curve yq2−y=xqn+1q+1 over Fq2n with n≥3 odd, that generalizes Serre’s c...
AbstractWe study arithmetical and geometrical properties ofmaximal curves, that is, curves defined o...
We introduce a family of algebraic curves over $\F_{q^{2n}}$ (for an odd $n$) and show that they are...
AbstractIn this note, we present a simple method for constructing maximal curves defined over Fq2m b...
The aim of this paper is to give a characterization of a maximal curve given by the equation xn + ym...
It has been known for a long time that the Deligne-Lusztig curves associated to the algebraic groups...
The genus g of an F-q2-maximal curve satisfies g = g(1) := q(q - 1)/2 or g less than or equal to g(2...
AbstractIn this paper we continue the investigation of Cohen–Macaulay projective monomial curves beg...
Abstract. A family of maximal curves is investigated that are all quotients of the Hermitian curve. ...
We characterize certain maximal curves over finite fields defined by equations of type y n = x m + x...
AbstractThe Hasse Weil bound restricts the number of points of a curve which are defined over a fini...
For each prime power ℓ the plane curve Xℓ with equation Yℓ2ℓ+1=Xℓ2-X is maximal over Fℓ6. Garcia and...
For every q=n3 with n a prime power greater than 2, the GK-curve is an Fqjavax.xml.bind.JAXBElement@...
An elementary and self-contained argument for the complete determination of maximal plane curves of ...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
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