Paper 2005/374 Original: eprint.iacr.org/2005/374 ↗
Computation of Tate Pairing for Supersingular Curves over characteristic 5 and 7
Abstract
We compute Tate pairing over supersingular elliptic curves via the generic BGhES\cite{BGES} method for $p=5,7$. In those cases, the point multiplication by $p$ is efficiently computed by the Frobenius endomorphism. The function in a cycle can be efficiently computed by the method of continued fraction.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2005-10-23: last updated
- 2005-10-23: published
- Short URL
- https://ia.cr/2005/374
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2005/374,
author = {Kunpeng Wang and Bao Li},
title = {Computation of Tate Pairing for Supersingular Curves over characteristic 5 and 7},
howpublished = {Cryptology {ePrint} Archive, Paper 2005/374},
year = {2005},
url = {https://eprint.iacr.org/2005/374}
}