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Over-Threshold Multiparty Private Set Intersection for Collaborative...

Talkat NSDI '26 · 2026-05-04..05-06· [cryptography, security]
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Protocol identifies IPs seen by at least t=3 parties using Shamir-style secret shares and a novel binning/hashing scheme that uses 20 hash tables sized proportional to each dataset and yields a 2^-40 failure probability. Complexity drops from an exponential-in-t search to roughly O(t^2 · M · binom(N,t)), enabling practical runs: median reconstruction time 170s, max under 420s on logs with up to 150,000 IPs per party and ~700 GB/day communication. Two deployments: collusion-safe (higher comms) and non-interactive with a non-colluding collector.

AI-written summary · about

  1. 0:00Collaborative intrusion detection
  2. 1:43Sharing cybersecurity indicators
  3. 4:20Problem definition and goals
  4. 6:51Previous approaches limitations
  5. 7:32Secret sharing polynomial solution
  6. 9:19Finding matching secret shares
  7. 11:49Hashing for optimized matching
  8. 13:37Real-world experimental results
  9. 15:43Privacy-preserving detection results
  10. 16:48Open challenges future work
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