Discussion Overview
The discussion revolves around the concept of simultaneous disclosure in joint computation, specifically focusing on protocols that allow two parties to obtain outputs that are nearly equal without one party gaining a significant advantage. The conversation touches on classical methods, cryptographic schemes, and theoretical limitations regarding the feasibility of such protocols.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant inquires about a protocol that allows two parties to receive outputs of a joint computation with minimal advantage to either party.
- Another participant questions whether the topic relates to quantum computing, noting familiarity with similar cryptographic schemes.
- A participant clarifies that the discussion is focused on classical methods and recalls a specific scenario involving two parties wanting to prove they have the same string without revealing more than necessary.
- There is a mention of zero-knowledge proofs, but a participant argues that the situation described does not fit that definition.
- One participant references an IEEE paper but is unable to access it, seeking assistance from others for a copy.
- Another participant discusses a public key scheme for fair coin flipping, questioning its relevance to the original inquiry.
- A suggestion is made to explore group signatures and error-correcting codes as potential solutions to the problem posed.
- Concerns are raised about the need for protocols that do not rely on complexity assumptions, with a mention of a negative result indicating the potential impossibility of the desired outcome.
- Participants express interest in finding the negative result and discuss the practical challenges of ensuring no party gains an advantage during the computation process.
- A link to a relevant paper is shared, but a participant notes that it may not fully address the original question regarding sharing information without one party gaining an advantage.
- Finally, a participant summarizes that the paper indicates the impossibility of achieving the desired outcome without additional assumptions, suggesting a method involving random variables to mitigate advantage.
Areas of Agreement / Disagreement
Participants express differing views on the feasibility of achieving simultaneous disclosure without advantage, with some suggesting potential methods while others highlight limitations and negative results. The discussion remains unresolved regarding the existence of a suitable protocol.
Contextual Notes
Participants reference various cryptographic concepts and protocols, indicating a reliance on specific assumptions and the potential for cheating in the proposed methods. The discussion highlights the complexity of ensuring equal output in joint computation.