Efficient (3, 3)-isogenies on fast Kummer surfaces
Maria Corte-Real Santos, Craig Costello, Benjamin A. Smith · Research in Number Theory · 2025
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 formulæ for the case of $$N=3$$ N = 3 , and show that the resulting algorithms are more efficient than all prior (3, 3)-isogeny algorithms.