paillier with TTP

// E (enterprise TTP server), A (alice), B (bob), L (ledger), Eb (mirror account for Bob)

// So A and B generate their respective G’s with E, the enterprise server thats handling the accounts.

E <-> A: create Ga
E <-> B: create Gb

// I don’t think there is a way for us to convert between Ga and Gb, so for A to transfer to B, it will send money to Eb, 
// basically a mirror account for B that will use Ga as the base
A -> L: from: A, to:Eb output Ga^10

// E can then decrypt and encrypt the value with Gb
E -> L: from:Eb, to:B output Gb^10

At the end of the "game" E can reveal the keys, and everyone can validate that log(Ga^10) == log(Gb^10) in their respective bases