Fully Homomorphic Encryption, 10 Years Later - Definitions and Open Problems

Fully Homomorphic Encryption, 10 Years Later - Definitions and Open Problems

Simons Institute via YouTube Direct link

Approximate Encryption Scheme

15 of 15

15 of 15

Approximate Encryption Scheme

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Fully Homomorphic Encryption, 10 Years Later - Definitions and Open Problems

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  1. 1 Fully Homomorphic Encryption 10 years later definitions and open problems
  2. 2 Fully Homomorphic Encryption Encryption: used to protect data at rest or in transit
  3. 3 FHE Timeline
  4. 4 Lattice Cryptography at Simons
  5. 5 Today • Fully Homomorphic Encryption
  6. 6 Lattice-based Encryption
  7. 7 Additive Homomorphism
  8. 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. 9 Composition • Perform two computations in sequence
  10. 10 Correctness of Encryption
  11. 11 Fully Composable HE
  12. 12 Comparing the two definitions
  13. 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. 14 CFHE without circular security?
  15. 15 Approximate Encryption Scheme

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