Exponentiation in pairing-friendly groups using homomorphisms

Steven D.  Galbraith; Michael Scott

Paper 2008/117

Exponentiation in pairing-friendly groups using homomorphisms

Steven D. Galbraith and 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.

Note: .

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. To appear, Pairing 2008.
Keywords: Pairings
Contact author(s): mike @ computing dcu ie
History: 2008-08-29: last of 4 revisions; 2008-03-17: received; See all versions
Short URL: https://ia.cr/2008/117
License: CC BY

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},
      note = {\url{https://eprint.iacr.org/2008/117}},
      url = {https://eprint.iacr.org/2008/117}
}