Paper 2002/008
Efficient Algorithms for Pairing-Based Cryptosystems
Paulo S. L. M. Barreto, Hae Y. Kim, Ben Lynn, and Michael Scott
Abstract
We describe fast new algorithms to implement recent cryptosystems based on the Tate pairing. In particular, our techniques improve pairing evaluation speed by a factor of about 55 compared to previously known methods in characteristic 3, and attain performance comparable to that of RSA in larger characteristics. We also propose faster algorithms for scalar multiplication in characteristic 3 and square root extraction over $\GF{p^m}$, the latter technique being also useful in contexts other than that of pairing-based cryptography.
Note: Fixed the proof of Lemma 1 (incorrect in the Crypto'2002 Proceedings version).
Metadata
- Available format(s)
-
PDF PS
- Category
- Implementation
- Publication info
- Published elsewhere. Accepted for Crypto'2002
- Keywords
- elliptic curve cryptosystemTate pairingpairing-based cryptosystem
- Contact author(s)
- pbarreto @ larc usp br
- History
- 2002-08-10: last of 5 revisions
- 2002-01-11: received
- See all versions
- Short URL
- https://ia.cr/2002/008
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2002/008,
author = {Paulo S. L. M. Barreto and Hae Y. Kim and Ben Lynn and Michael Scott},
title = {Efficient Algorithms for Pairing-Based Cryptosystems},
howpublished = {Cryptology {ePrint} Archive, Paper 2002/008},
year = {2002},
url = {https://eprint.iacr.org/2002/008}
}