Computing gluing and splitting $$(\ell ,\ell )$$-isogenies
Author:
Funder
the National Key Research and Development Program
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s10623-024-01413-x.pdf
Reference20 articles.
1. Castryck W., Decru T.: An efficient key recovery attack on SIDH. In: Hazay C., Stam M. (eds.) Advances in Cryptology-EUROCRYPT 2023. https://doi.org/10.1007/978-3-031-30589-4_15.
2. Cosset R., Robert D.: Computing $$(\ell,\ell )$$-isogenies in polynomial time on Jacobians of genus $$2$$ curves. Math. Comput. 84(294), 1953–1975 (2015).
3. Couveignes J., Ezome T.: Computing functions on Jacobians and their quotients. LMS J. Comput. Math. 18(1), 555–577 (2015).
4. Decru T., Kunzweiler S.: Efficient computation of $$(3^n,3^n)$$-isogenies. In: El Mrabet N., De Feo L., Duquesne S. (eds.) Progress in Cryptology - AFRICACRYPT 2023. https://doi.org/10.1007/978-3-031-37679-5_3.
5. Howe E.W., Leprevost F., Poonen B.: Large torsion subgroups of split Jacobians of curves of genus two or three. Forum Math. 12(3), 315–364 (2000).
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