Efficient Zero Knowledge Proof from Interactive Proofs

Efficient Zero Knowledge Proof from Interactive Proofs

Simons Institute via YouTube Direct link

Our New Algorithm for GKR Prover Phase 1

9 of 19

9 of 19

Our New Algorithm for GKR Prover Phase 1

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Classroom Contents

Efficient Zero Knowledge Proof from Interactive Proofs

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  1. 1 Intro
  2. 2 Zero Knowledge Proof
  3. 3 Efficiency Measures
  4. 4 Existing Constructions of ZKP
  5. 5 Doubly Efficient Interactive Proof [GKR15]
  6. 6 Sumcheck Protocol LNFK 92
  7. 7 Prover Time of Sumcheck on Multilinear Polynomials
  8. 8 Prover Time of GKR
  9. 9 Our New Algorithm for GKR Prover Phase 1
  10. 10 Performance Matrix mult
  11. 11 Properties of GKR Protocol
  12. 12 Leakage of GKR Proof
  13. 13 Prior Approach to Achieve Zero Knowledge
  14. 14 Our Approach
  15. 15 Argument System from GKR [ZGK+17]
  16. 16 Removing Trusted Setup
  17. 17 Complexity of Our New Polynomial Commitment
  18. 18 Putting Everything Together
  19. 19 Comparison to Other ZKP Systems

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