[Resource Topic] 2024/144: Efficient (3,3)-isogenies on fast Kummer surfaces

Welcome to the resource topic for 2024/144

Title:
Efficient (3,3)-isogenies on fast Kummer surfaces

Authors: Maria Corte-Real Santos, Craig Costello, Benjamin Smith

Abstract:

We give an alternative derivation of (N,N)-isogenies between fast Kummer surfaces which complements existing works based on the theory of theta functions. We use this framework to produce explicit formulae for the case of N = 3, and show that the resulting algorithms are more efficient than all prior (3,3)-isogeny algorithms.

ePrint: https://eprint.iacr.org/2024/144

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .