Paper 2024/1017
Accelerating pairings on BW10 and BW14 Curves
, University of Dschang, University of Yaounde, University of BamendaAbstract
Since the advent of pairing based cryptography, many researchers have developed several techniques and variants of pairings to optimise the speed of pairing computations. The selection of the elliptic curve for a given pairing based protocol is crucial for operations in the first and second pairing groups of points of the elliptic curve and for many cryptographic schemes. A new variant of superoptimal pairing was proposed in 2023, namely x-superoptimal pairing on curves with odd prime embedding degrees BW13-310 and BW19-286. This paper extends the definition of the x-superoptimal pairing on elliptic curves with even embedding degrees BW10-511 and BW14-351 at 128 bits security level. We provide a suitable formula of the x-superoptimal pairing on BW10-511 and BW14-351 where the Miller loop is about $13.5\%$ and $21.6\%$ faster than the optimal ate pairing on BW10-511 and BW14-351 respectively. The correctness of the x-superoptimal pairing on BW10-511 and BW14-351 and bilinearity has been verified by a Magma code.
Metadata
- Available format(s)
-
PDF
- Category
- Implementation
- Publication info
- Published elsewhere. MCS Journal
- Keywords
- Optimal ate pairingx-Superoptimal pairingMiller function
- Contact author(s)
-
nyamsigomez @ gmail com
azebazelaurian @ yahoo fr
emmanuelfouotsa @ yahoo fr - History
- 2024-06-28: approved
- 2024-06-24: received
- See all versions
- Short URL
- https://ia.cr/2024/1017
- License
-
CC BY-NC
BibTeX
@misc{cryptoeprint:2024/1017,
author = {Senegue Gomez Nyamsi and Laurian Guimagang Azebaze and Emmanuel Fouotsa},
title = {Accelerating pairings on {BW10} and {BW14} Curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/1017},
year = {2024},
url = {https://eprint.iacr.org/2024/1017}
}
