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Obfuscation: Past, Present, and Possible Futures

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Claims a concrete route to indistinguishability obfuscation by encoding matrix branching programs into candidate multilinear maps and proving security under a new multilinear subgroup elimination assumption. Construction uses Kilian-style randomized conjugation, CRT-based parallel encodings (one prime per input bucket), structured noise that cancels only on correct evaluation, and final zero test at level K. Proof needs 2^n hybrids (handled by subexponential hardness) and ≈O(n) parallel primes; remaining issues: input‑mixing attacks, heavy concrete overhead, and reliance on currently experimental multilinear map candidates.

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  1. 0:00Introduction
  2. 1:14Computer Science Analogy
  3. 2:43Secure Multiparty Computation
  4. 4:41Obfuscation Defined
  5. 8:25How is it Useful
  6. 12:56Structured Noise
  7. 14:21Multilinear Maps
  8. 17:47Constructing Obfuscation
  9. 19:38Randomization
  10. 22:04Multilinear Map
  11. 27:01Assumptions
  12. 37:47Hybrids
  13. 43:57Zeroing Out
  14. 48:34Evaluation
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