Mar 18, 2024 · Abstract. Given two elliptic curves and the degree of an isogeny be- tween them, finding the isogeny is believed to be a difficult problem—.

May 26, 2024 · Here we explore modular isogeny problems where the torsion information is masked by the action of a group of 2 × 2 matrices. We give reductions ...

Modular isogeny problems where the torsion information is masked by the action of a group of 2 × 2 matrices are explored, and reductions between these ...

Jul 19, 2024 · Luca De Feo, Tako Boris Fouotsa, and Lorenz Panny. Isogeny problems with level structure. In. EUROCRYPT 2024 (to appear). Springer-Verlag, 2024.

We study ℓ -isogeny graphs of ordinary elliptic curves defined over a finite field of characteristic p , together with a level structure. Firstly, we show that ...

Nov 21, 2024 · The key hardness problem of many isogeny-based protocols is based on the difficulty of recovering a large degree isogeny I : E 0 → E 1 between ...

Jun 19, 2023 · We study l-isogeny graphs of ordinary elliptic curves defined over a finite field of characteristic p, together with a level structure. Firstly, ...

Feb 13, 2014 · Intuitively such a thing cannot exist, even with level structure, since the "forget isomorphism class and remember only isogeny class" map from ...

Math 248B. Isogenies and level structures. In this handout, we discussion the notions of isogeny and “level structure” for elliptic curves over schemes. 1 ...

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