Efficient $(3,3)$-isogenies on fast Kummer surfaces
<|reference_start|>Efficient $(3,3)$-isogenies on fast Kummer surfaces: We give an alternative derivation of $(N,N)$-isogenies between fast Kummer surfaces which complements existing works based on the theory oftheta 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.<|reference_end|>
@article{santos2024efficient,
    title={Efficient $(3,3)$-isogenies on fast Kummer surfaces},
    author={Maria Corte-Real Santos (UCL), Craig Costello, Benjamin Smith (GRACE)},
    journal={arXiv preprint arXiv:2402.01223},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.01223},
    primaryClass={cs.CR math.NT}
}