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

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

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


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

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