[Resource Topic] 2005/374: Computation of Tate Pairing for Supersingular Curves over characteristic 5 and 7

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

Authors: Kunpeng Wang, Bao Li

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.

ePrint: https://eprint.iacr.org/2005/374

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