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Yes, doing so is a straightforward sequential trusted setup. Each stage proves correctness using E::pairing(params.powers_of*_g[i],params.h) = E::pairing(params.powers_of*_g[i+1],E::G2Affine::prime_subgroup_generator()) etc, although Schnorr DLEQ proofs sound faster.
Instead of a trusted dealer generating the UniversalParams, can they be generated in a distributed way?
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