Libert-Quisquater05 uses symmetric pairing, not asymmetric optimal ate pairing as constructed in bn256

[PeterCCLiu]

Hello,

Correct me if I'm wrong, but isn't that this paper "Identity Based Encryption Without Redundancy" you are trying to implement in ibe/ibe.go uses a symmetric pairing where G1xG1->G2?

But you used bn256 to perform pairing operations, which is constructed by the optimal ate pairing where G1xG2->GT. That means all functions bn256.Pair() you used in ibe/ibe.go have some problems, for example this line.

Looking forward to your reply,
Peter