Paper 2007/429
On compressible pairings and their computation
Michael Naehrig, Paulo S. L. M. Barreto, and Peter Schwabe
Abstract
In this paper we provide explicit formul\ae\ to compute bilinear pairings in compressed form. We indicate families of curves where the proposed compressed computation method can be applied and where particularly generalized versions of the Eta and Ate pairings due to Zhao \emph{et al.} are especially efficient. Our approach introduces more flexibility when trading off computation speed and memory requirement. Furthermore, compressed computation of reduced pairings can be done without any finite field inversions. We also give a performance evaluation and compare the new method with conventional pairing algorithms.
Note: Included implementation and timing results.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- pairing-based cryptographycompressible pairingsalgebraic toriTate pairingEta pairingAte pairingtwists
- Contact author(s)
- mnaehrig @ ti rwth-aachen de
- History
- 2008-03-14: revised
- 2007-11-18: received
- See all versions
- Short URL
- https://ia.cr/2007/429
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2007/429,
author = {Michael Naehrig and Paulo S. L. M. Barreto and Peter Schwabe},
title = {On compressible pairings and their computation},
howpublished = {Cryptology ePrint Archive, Paper 2007/429},
year = {2007},
note = {\url{https://eprint.iacr.org/2007/429}},
url = {https://eprint.iacr.org/2007/429}
}
