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  • Author: Caroline Sheedy x
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Recent progress on pairing implementation has made certain pairings extremely simple and fast to compute. Hence, it is natural to examine if there are consequences for the security of pairing-based cryptography.

This paper gives a method to compute eta pairings on certain supersingular curves with a greatly simplified final exponentiation. The method does not lead to any improvement in the speed of pairing implementation. However, we show that it leads to a multivariate attack on the pairing inversion problem. We analyse this attack and show that it is infeasible for elliptic curves.