Add to ORKGWe explain a naive approach towards the problem of finding genus 3 curves C over any given finite field F-q of odd characteristic, with a number of rational points close to the Hasse-Weil-Serre upper bound q+1+3[2rootq]. The method turns out to be successful at least in characteristic 3.</p
In this article we recall how to describe the twists of a curve over a finite field and we show how ...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
AbstractOne of the big questions in the area of curves over finite fields concerns the distribution ...
We explain a naive approach towards the problem of finding genus 3 curves C over any given finite fi...
We explain a naive approach towards the problem of finding genus 3 curves C over any given finite fi...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
1 Questions about curves (i) What is meant by the ‘number of points ’ on a curve? (ii) What is the n...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
Abstract. We resolve a 1983 question of Serre by constructing curves with many points of every genus...
This note is devoted to studying a certain hyperelliptic curve of genus three defined over a finite ...
International audienceWe explain how to compute the equations of the abelian coverings of any curve ...
Abstract. We explain how to compute the equations of the abelian coverings of any curve defined over...
AbstractOn average, there are qr+o(qr/2) Fqr-rational points on curves of genus g defined over Fqr. ...
In this article we recall how to describe the twists of a curve over a finite field and we show how ...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
AbstractOne of the big questions in the area of curves over finite fields concerns the distribution ...
We explain a naive approach towards the problem of finding genus 3 curves C over any given finite fi...
We explain a naive approach towards the problem of finding genus 3 curves C over any given finite fi...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
1 Questions about curves (i) What is meant by the ‘number of points ’ on a curve? (ii) What is the n...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
Abstract. We resolve a 1983 question of Serre by constructing curves with many points of every genus...
This note is devoted to studying a certain hyperelliptic curve of genus three defined over a finite ...
International audienceWe explain how to compute the equations of the abelian coverings of any curve ...
Abstract. We explain how to compute the equations of the abelian coverings of any curve defined over...
AbstractOn average, there are qr+o(qr/2) Fqr-rational points on curves of genus g defined over Fqr. ...
In this article we recall how to describe the twists of a curve over a finite field and we show how ...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
AbstractOne of the big questions in the area of curves over finite fields concerns the distribution ...