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Additive Homomorphism
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Classroom Contents
Fully Homomorphic Encryption, 10 Years Later - Definitions and Open Problems
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- 1 Fully Homomorphic Encryption 10 years later definitions and open problems
- 2 Fully Homomorphic Encryption Encryption: used to protect data at rest or in transit
- 3 FHE Timeline
- 4 Lattice Cryptography at Simons
- 5 Today • Fully Homomorphic Encryption
- 6 Lattice-based Encryption
- 7 Additive Homomorphism
- 8 Gentry bootstrapping Technique to reduce the amount of error in a lattice- based ciphertext: - Assume (Gen, Enc,Dec, Eval) supports the evaluation of
- 9 Composition • Perform two computations in sequence
- 10 Correctness of Encryption
- 11 Fully Composable HE
- 12 Comparing the two definitions
- 13 Bootstrapping revisited Gentry's bootstrapping theorem can be formulated in terms of the new CFHE definition • Theorem: FHE+circular security = CFHE - (Gen, Enc,Dec, Eval): FHE supporting the evaluat…
- 14 CFHE without circular security?
- 15 Approximate Encryption Scheme
