Efficient $(3,3)$-isogenies on fast Kummer surfaces - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... (Preprint) Year : 2024

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

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.
Fichier principal
Vignette du fichier
genus2-hal.pdf (462.18 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04433463 , version 1 (01-02-2024)
hal-04433463 , version 2 (03-09-2024)

Licence

Identifiers

Cite

Maria Corte-Real Santos, Craig Costello, Benjamin Smith. Efficient $(3,3)$-isogenies on fast Kummer surfaces. 2024. ⟨hal-04433463v2⟩
96 View
55 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More