Hyper-and-elliptic-curve cryptography

Daniel J.  Bernstein; Tanja Lange

Paper 2014/379 Original: eprint.iacr.org/2014/379 ↗

Hyper-and-elliptic-curve cryptography

Daniel J. Bernstein

Tanja Lange

Abstract

This paper introduces "hyper-and-elliptic-curve cryptography", in which a single high-security group supports fast genus-2-hyperelliptic-curve formulas for variable-base-point single-scalar multiplication (e.g., Diffie--Hellman shared-secret computation) and at the same time supports fast elliptic-curve formulas for fixed-base-point scalar multiplication (e.g., key generation) and multi-scalar multiplication (e.g., signature verification).

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2014-05-28: last updated; 2014-05-28: published
Short URL: https://ia.cr/2014/379
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2014/379,
      author = {Daniel J.  Bernstein and Tanja Lange},
      title = {Hyper-and-elliptic-curve cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/379},
      year = {2014},
      url = {https://eprint.iacr.org/2014/379}
}