3 papers
cs.CR2026
Unconditional foundations for supersingular isogeny-based cryptography
Arthur Herlédan Le Merdy, Benjamin Wesolowski
In this paper, we prove that the supersingular isogeny problem (Isogeny), endomorphism ring problem (EndRing) and maximal order problem (MaxOrder) are equivalent under probabilisti…
cs.CR2025
The supersingular endomorphism ring problem given one endomorphism
Arthur Herlédan Le Merdy, Benjamin Wesolowski
Given a supersingular elliptic curve E and a non-scalar endomorphism of E, we prove that the endomorphism ring of E can be computed in classical time about disc(Z[])^1/4 ,…
math.NT2025
On the computation of endomorphism rings of abelian surfaces over finite fields
Samuele Anni, Gaetan Bisson, Annamaria Iezzi +2
We study endomorphism rings of principally polarized abelian surfaces over finite fields from a computational viewpoint with a focus on exhaustiveness. In particular, we address th…