Non-Interactive Zero-Knowledge in Pairing-Free Groups from Weaker Assumptions

Non-Interactive Zero-Knowledge in Pairing-Free Groups from Weaker Assumptions

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Our Second Contribution

11 of 13

11 of 13

Our Second Contribution

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Non-Interactive Zero-Knowledge in Pairing-Free Groups from Weaker Assumptions

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  1. 1 Intro
  2. 2 Non-Interactive Zero-Knowledge Proofs (NIZKS)
  3. 3 NIZKs in Pairing-Free Groups - Known Results
  4. 4 Our Improvements
  5. 5 Construction Overview
  6. 6 Key Intuition
  7. 7 Sigma Protocol for LOH
  8. 8 Step 2 CI Hash Function to NIZK
  9. 9 Step 2 Correlation-Intractable (CI) Hash Function
  10. 10 From NIZKH to NIZKs for NP
  11. 11 Our Second Contribution
  12. 12 Key Idea for Step 3
  13. 13 Short-Exponent Discrete Logarithm

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