14 citations · 21 across the 3 of their papers we have counts for
3 papers
math.NT2008★ 2 cited
Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves
Benjamin Smith
We describe the use of explicit isogenies to translate instances of the Discrete Logarithm Problem (DLP) from Jacobians of hyperelliptic genus 3 curves to Jacobians of non-hyperell…
math.NT2006★ 14 cited
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…
math.NT2006★ 5 cited
Discrete Logarithms in Generalized Jacobians
S. D. Galbraith, B. A. Smith
Déchène has proposed generalized Jacobians as a source of groups for public-key cryptosystems based on the hardness of the Discrete Logarithm Problem (DLP). Her specific proposal g…