23 citations · 180 across the 35 of their papers we have counts for
4 papers · 1 filter
On the existence of dimension zero divisors in algebraic function fields defined over F_q
Stephane Ballet, Christophe Ritzenthaler, Robert Rolland
Let F/F_q be an algebraic function field of genus g defined over a finite field F_q. We obtain new results on the existence, the number and the density of dimension zero divisors o…
Genus 3 curves with many involutions and application to maximal curves in characteristic 2
Enric Nart, Christophe Ritzenthaler
Let k=F_q be a finite field of characteristic 2. A genus 3 curve C/k has many involutions if the group of k-automorphisms admits a C_2\times C_2 subgroup H (not containing the hype…
Faster computation of the Tate pairing
Christophe Arene, Tanja Lange, Michael Naehrig +1
This paper proposes new explicit formulas for the doubling and addition step in Miller's algorithm to compute the Tate pairing. For Edwards curves the formulas come from a new way…
Explicit computations of Serre's obstruction for genus 3 curves and application to optimal curves
Christophe Ritzenthaler
Let k be a field of characteristic different from 2. There can be an obstruction for an indecomposable principally polarized abelian threefold (A,a) over k to be a Jacobian over k.…