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Computation of Tate Pairing for Supersingular Curves over characteristic 5 and 7
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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. |
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 }