23 citations · 180 across the 35 of their papers we have counts for
4 papers · 2 filters
Distortion maps for genus two curves
Steven D. Galbraith, Jordi Pujolàs, Christophe Ritzenthaler +1
Distortion maps are a useful tool for pairing based cryptography. Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1 is more complicated since the full…
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2
Enric Nart, Christophe Ritzenthaler
We exhibit the isogeny classes of supersingular abelian threefolds over F_{2^n} containing the Jacobian of a genus 3 curve. In particular, we prove that for even n>6 there always e…
Jacobians in isogeny classes of abelian surfaces over finite fields
Everett W. Howe, Enric Nart, Christophe Ritzenthaler
We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus-2 curves over finite fields.
Principally polarizable isogeny classes of abelian surfaces over finite fields
Everett W. Howe, Daniel Maisner, Enric Nart +1
Let A be an isogeny class of abelian surfaces over F_q with Weil polynomial x^4 + ax^3 + bx^2 + aqx + q^2. We show that A does not contain a surface that has a principal polarizati…