Hiding & Extractability in Plain Model • Use a 2-round statistical sender private oblivious transfer
11
Weakly Secure' Statistical Zaps
12
Amplify the Security
13
Statistical Receiver-Private OT
14
Main Tool: Statistical Hash Commitments (SHC)
15
Statistical Hiding Property
16
Computational Binding
17
3-round Statistical Receiver - Private OT from SHC
18
Statistical Hash Commitment from 2-round OT
19
Summary of Results
Description:
Explore a comprehensive presentation on statistical zaps and novel oblivious transfer protocols delivered at Eurocrypt 2020. Delve into the intricacies of statistical security in two-party protocols, interactive proof systems, and witness indistinguishability. Examine the concept of zaps as two-round public-coin witness-indistinguishable protocols and their application to oblivious transfer. Investigate the development of weakly secure statistical zaps and methods to amplify their security. Learn about statistical receiver-private oblivious transfer and the crucial role of statistical hash commitments. Gain insights into the three-round statistical receiver-private oblivious transfer protocol derived from statistical hash commitments, and understand how these commitments can be constructed from two-round oblivious transfer. Conclude with a summary of the key findings and their implications for cryptographic research.
Statistical Zaps and New Oblivious Transfer Protocols