Karatsuba-based square-root Vélu’s formulas applied to two isogeny-based protocols

Speeding the Pollard and elliptic curve methods of factorization

Peter L. Montgomery · Mathematics of Computation · 1987 · 1.2K citations

Natural Sciences, Computer Science, Mathematics +16

Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies

Luca De Feo, David Jao, Jérôme Plût · Journal of Mathematical Cryptology · 2014 · 398 citations · Full text

Computing, Computer Science, Mathematics +16

Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves

Anton Stolbunov · Advances in Mathematics of Communications · 2010 · 136 citations · Full text

Computing, Computer Science, Mathematics +14

Analogues of Vélu’s formulas for isogenies on alternate models of elliptic curves

Dustin Moody, Daniel Shumow · Mathematics of Computation · 2015 · 72 citations · Full text

Natural Sciences, Computer Science, Mathematics +13

The SQALE of CSIDH: sublinear Vélu quantum-resistant isogeny action with low exponents

Jorge Chávez-Saab, Jesús-Javier Chi-Domínguez, Samuel Jaques et al. · Journal of Cryptographic Engineering · 2021 · 53 citations · Full text

Computing, Computer Science, Cryptography +14