International Association
for Cryptologic Research

Account Abstraction is a powerful feature that will transform today Web3 onboarding UX. This notes describes an EVM (Ethereum Virtual Machine) implementation of the well known secp256r1 curves optimized for the specificities of the EVM environment. Our optimizations rely on EVM dedicated XYZZ elliptic coordinates system, hacked precomputations, and assembly tricks to cut from more than 1M to 200K/62K (with or withoutprecomputations)