## CryptoDB

### Paper: Computation of Tate Pairing for Supersingular Curves over characteristic 5 and 7

Authors: Kunpeng Wang Bao Li URL: http://eprint.iacr.org/2005/374 Search ePrint Search Google 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.
##### BibTeX
@misc{eprint-2005-12708,
title={Computation of Tate Pairing  for Supersingular Curves over characteristic 5 and 7},
booktitle={IACR Eprint archive},
keywords={public-key cryptography / Tate pairing, continued fraction, Frobenius Endomorphism, supersingular},
url={http://eprint.iacr.org/2005/374},
note={ kpwang@is.ac.cn;kunpengwang@263.net 13074 received 18 Oct 2005},
author={Kunpeng Wang and Bao Li},
year=2005
}