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Scalable Zero-Knowledge Protocols From Vector-OLE

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Uses vector-OLE as the core primitive to get information‑theoretic homomorphic MACs that act as tiny interactive commitments, and builds a commit‑and‑prove protocol called mac and cheese for arithmetic circuits that runs in streaming with constant memory. Multiplication checks cost 1–3 field elements of communication and benchmarks show about a million multiplications per second. Protocols can Fiat‑Shamir to remove verifier rounds, support compact disjunctions whose cost is proportional to the longest branch (with logarithmic overhead via recursion), but remain designated‑verifier and non‑succinct.

AI-written summary · about

  1. 0:00Introduction
  2. 3:06VectorOLE
  3. 7:46Mac and Cheese
  4. 13:38Disjunctions
  5. 14:55Main Observations
  6. 18:29Performance
  7. 19:59Summary
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