EcGFp5: a Specialized Elliptic Curve

Thomas Pornin

Paper 2022/274

EcGFp5: a Specialized Elliptic Curve

Thomas Pornin

Abstract

We present here the design and implementation of ecGFp5, an elliptic curve meant for a specific compute model in which operations modulo a given 64-bit prime are especially efficient. This model is primarily intended for running operations in a virtual machine that produces and verifies zero-knowledge STARK proofs. We describe here the choice of a secure curve, amenable to safe cryptographic operations such as digital signatures, that maps to such models, while still providing reasonable performance on general purpose computers.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: elliptic curve cryptosystems double-odd curves zero knowledge
Contact author(s): thomas pornin @ nccgroup com
History: 2022-03-02: received
Short URL: https://ia.cr/2022/274
License: CC BY

BibTeX

@misc{cryptoeprint:2022/274,
      author = {Thomas Pornin},
      title = {{EcGFp5}: a Specialized Elliptic Curve},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/274},
      year = {2022},
      url = {https://eprint.iacr.org/2022/274}
}