Threshold encryption using asymmetric pairing?

Cryptography
1

At Skale we are looking to implement threshold encryption based on Elliptic curve pairing.
Usually threshold encryption is using symmetric pairing G1 x G1 -> G2

We are looking to modify it to use asymetric pairing used in ETH precompiles
G1 x G2 -> GT

I wonder if anyone here is familiar with the subject …

2

Loosely, but I am wondering about this side.

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And a bit late for now.