Unveiling Incompressible Cryptography Techniques
Explore the fascinating world of incompressible cryptography techniques, including forward secrecy, deniable encryption, multi-round protocols, and more. Dive into the concepts of disappearing cryptography, memory-bound encryption, and bounded storage models to secure data effectively in various scenarios.
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Presentation Transcript
Incompressible Cryptography JIAXIN GUAN JIAXIN GUAN1, DANIEL WICHS2,3, AND MARK ZHANDRY1,2 1 PRINCETON UNIVERSITY 2 NTT RESEARCH, INC. 3 NORTHEASTERN UNIVERSITY
Forward Secrecy Hi, Bob! Here is a super secret QR code. For your eyes only!!! Multi-Round Protocols Key Updates
Receiver-Deniable Encryption [CDNO97] funny cat image Impossible in the standard model! [BNNO11]
Replay Attack Party Tonight Multi-Round Protocols Party Tonight Synchronized Clocks Stateful Verifier
What if the adversary cannot store the ciphertext / signature?
Party Tonight Party Tonight
Key Idea: Manually blow up the ciphertext / signature size
Disappearing Cryptography in the Bounded Storage Model [G GZ21]
Traditionally Bounded Storage Model [Mau92] = poly(?) = ?(?) fixed poly. ?
Disappearing PKE [G GZ21] ? ??,?? ,? ?? ?0,?1 Enc(??,??) ? ??
Memory Bound for Adv. Adv. 1 Adv. 2 Storage Storage ? Time Time
Incompressible PKE Security ? ??,?? ,? ?? ,aux ?0,?1 Enc(??,??) st ?.?. st ? ?? ? ,??,aux,st Implies Disappearing PKE Security!
Feature: Low Space Streaming BSM requires honest parties run protocol with lower storage bound Enc, Dec, Sig, Ver runs in low space Incompressible PKE + Low Space Streaming -> Disappearing PKE
Feature: Rate 1 Low Rate PKE: Rate-1 PKE: ? ? ct ct
Key Idea: Manually blow up the ciphertext / signature size Entropy
This Work: Incompressible Cryptography Incompressible Signatures (low rate) Incompressible Signatures (rate 1) Incompressible PKE (low rate) Incompressible PKE (rate 1) >> >> Incompressible Encodings [MW20] Standard Model PKE One Way Functions Indistinguishability Obfuscation (iO)
Thank you! eprint.iacr.org/2021/1679 jiaxin@guan.io
