Exponentiation in pairing-friendly groups using homomorphisms

Steven D.  Galbraith; Michael Scott

Paper 2008/117 Original: eprint.iacr.org/2008/117 ↗

Exponentiation in pairing-friendly groups using homomorphisms

Steven D. Galbraith

Michael Scott

Abstract

We present efficiently computable homomorphisms of the groups $G_2$ and $G_T$ for pairings $G_1 \times G_2 \rightarrow G_T$. This allows exponentiation in $G_2$ and $G_T$ to be accelerated using the Gallant-Lambert-Vanstone method.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2008-08-29: last updated; 2008-03-17: published
Short URL: https://ia.cr/2008/117
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/117,
      author = {Steven D.  Galbraith and Michael Scott},
      title = {Exponentiation in pairing-friendly groups using homomorphisms},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/117},
      year = {2008},
      url = {https://eprint.iacr.org/2008/117}
}