Paper 2006/059
High Security Pairing-Based Cryptography Revisited
R. Granger, D. Page, and N. P. Smart
Abstract
The security and performance of pairing based cryptography has provoked a large volume of research, in part because of the exciting new cryptographic schemes that it underpins. We re-examine how one should implement pairings over ordinary elliptic curves for various practical levels of security. We conclude, contrary to prior work, that the Tate pairing is more efficient than the Weil pairing for all such security levels. This is achieved by using efficient exponentiation techniques in the cyclotomic subgroup backed by efficient squaring routines within the same subgroup.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- pairings
- Contact author(s)
- nigel @ cs bris ac uk
- History
- 2006-02-16: revised
- 2006-02-15: received
- See all versions
- Short URL
- https://ia.cr/2006/059
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2006/059,
author = {R. Granger and D. Page and N. P. Smart},
title = {High Security Pairing-Based Cryptography Revisited},
howpublished = {Cryptology {ePrint} Archive, Paper 2006/059},
year = {2006},
url = {https://eprint.iacr.org/2006/059}
}
