Feb. 5, 2024, 8:10 p.m. | Maria Corte-Real SantosUCL Craig CostelloGRACE Benjamin SmithGRACE

cs.CR updates on arXiv.org arxiv.org

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

algorithms cs.cr explicit fast framework functions math.nt theory

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