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math.NT2025
Evaluation of Modular Polynomials from Supersingular Elliptic Curves
Maria Corte-Real Santos, Jonathan Komada Eriksen, Antonin Leroux +2
We present several new algorithms to evaluate modular polynomials of level modulo a prime on an input . More precisely, we introduce two new generic algorithms, shari…
math.NT2025
The SEA algorithm for endomorphisms of supersingular elliptic curves
Travis Morrison, Lorenz Panny, Jana Sotáková +1
For a prime and a supersingular elliptic curve defined over with , consider an endomorphism of represented as a c…
math.NT2020
Improved torsion point attacks on SIDH variants
Victoria de Quehen, Péter Kutas, Chris Leonardi +4
SIDH is a post-quantum key exchange algorithm based on the presumed difficulty of finding isogenies between supersingular elliptic curves. However, SIDH and related cryptosystems a…