[Resource Topic] 2006/169: Simplified pairing computation and security implications

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Title:
Simplified pairing computation and security implications

Authors: Steven D. Galbraith, Colm O hEigeartaigh, Caroline Sheedy

Abstract:

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 in a way which avoids the requirement for a final exponentiation. The method does not lead to any improvement in the speed of pairing implementation. However, it seems appropriate to re-evaluate the security of pairing based cryptography in light of these new ideas. A multivariate attack on the pairing inversion problem is proposed and analysed. Our findings support the belief that pairing inversion is a hard computational problem.

ePrint: https://eprint.iacr.org/2006/169

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