We 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
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
AbstractOn average, there are qr+o(qr/2) Fqr-rational points on curves of genus g defined over Fqr. ...
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...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
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 ...
Abstract. We explain how to compute the equations of the abelian coverings of any curve defined over...
International audienceWe explain how to compute the equations of the abelian coverings of any curve ...
In this article we recall how to describe the twists of a curve over a finite field and we show how ...
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
AbstractOn average, there are qr+o(qr/2) Fqr-rational points on curves of genus g defined over Fqr. ...
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...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
Abstract: We present a table containing the maximal number of rational points on a genus 3 curve ove...
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 ...
Abstract. We explain how to compute the equations of the abelian coverings of any curve defined over...
International audienceWe explain how to compute the equations of the abelian coverings of any curve ...
In this article we recall how to describe the twists of a curve over a finite field and we show how ...
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
AbstractOn average, there are qr+o(qr/2) Fqr-rational points on curves of genus g defined over Fqr. ...
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