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A non-interactive zero-knowledge proof can be used to demonstrate the truth of a statement without revealing anything else. It has been shown under standard cryptographic assumptions that non-interact...
It is well known that any encryption scheme which supports any form of homomorphic operation cannot be secure against adaptive chosen ciphertext attack. The question then arises as to what is the most...
We describe a working implementation of a variant of Gentry's fully homomorphic encryption scheme (STOC 2009), similar to the variant used in an earlier implementation effort by Smart and Vercauteren ...
We describe two improvements to Gentry's fully homomorphic scheme based on ideal lattices and its analysis: we provide a refined analysis of one of the hardness assumptions (the one related to the Spa...
We construct a simple fully homomorphic encryption scheme, using only elementary modular arithmetic. We use Gentry's technique to construct fully homomorphic scheme from a \boot- strappable" somewha...
We present a fully homomorphic encryption scheme which has both relatively small key and ciphertext size. Our construction follows that of Gentry by producing a fully homomorphic scheme from a “some...

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