International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Cyril Bouvier

Publications

Year
Venue
Title
2020
PKC
Faster Cofactorization with ECM Using Mixed Representations 📺
Cyril Bouvier Laurent Imbert
This paper introduces a novel implementation of the elliptic curve factoring method specifically designed for medium-size integers such as those arising by billions in the cofactorization step of the Number Field Sieve. In this context, our algorithm requires fewer modular multiplications than any other publicly available implementation. The main ingredients are: the use of batches of primes, fast point tripling, optimal double-base decompositions and Lucas chains, and a good mix of Edwards and Montgomery representations.
2014
PKC