Computational Wiretap Coding from Indistinguishability Obfuscation
summary
Construction shows: under standard sub-exponential assumptions that imply indistinguishability obfuscation plus injective PRGs, every non-degraded binary-input channel pair admits a computational wiretap code. The implementation builds a Hamming-ball obfuscated encoder using a new PRG with self-correction (code-offset + list-decodable code) and argues security by iO hybrids; it handles the BSC 0.1 vs BEC 0.3 teaser (e > 2p) and reduces arbitrary binary pairs to BAC/BAEC via a new polytope characterization of degradation.
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chapters (8)
- 0:00Computational wiretap coding intro
- 2:28Coding theory special instance
- 7:21Wiretap coding feasibility
- 10:29Symmetric case construction
- 18:29Self-correcting PRG details
- 23:12Asymmetric channel reduction
- 26:28Degradation polytope characterization
- 30:14Open problems and future
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