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Fully homomorphic encryption allows a third party to perform computations on encrypted data, and get an encrypted result that they can hand back to whoever has the decryption key for the original data. It can also be used to implement privacy-preserving light clients and more generally scalability solutions to privacy preserving protocols that today require each user to personally scan the entire blockchain for incoming transactions. Fully homomorphic encryption allows unlimited additions and multiplications. Additions and multiplications let you replicate any binary circuit gates .
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