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Does the problem of noise growth exist in the Paillier homomorphic scheme ? No, it does not. Unlike Lattice-based schemes, you can do as many homomorphic additions as you want in Paillier (without doing anything like a "reboot"), and it's never a problem.


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One solution that meets the requirements outlined above is Pedersen commitments. Pedersen is a homomorphic commitment scheme that is computationally binding.


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