An information theoretic proof is a mathematical demonstration of security or privacy that relies solely on principles from information theory, without making assumptions about computational limitations. Such proofs assert that an adversary, even with unlimited computational power, cannot compromise the system beyond a certain theoretical bound. They offer the strongest possible security guarantees by considering all possible information leakage. This method provides fundamental limits on security.
Context
Information theoretic proofs are highly valued in cryptography for their robust security statements, as they do not depend on the difficulty of solving specific mathematical problems. While often theoretically potent, practical implementations may still require computational assumptions to achieve efficiency. These proofs are particularly relevant in fields like quantum cryptography and secure multi-party computation, where unconditional security is a primary goal. They help establish the ultimate security floor for cryptographic protocols.
Dew introduces the first transparent polynomial commitment scheme with constant proof size and logarithmic verification, eliminating the trusted setup barrier for succinct verifiable computation.
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