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We present a class of hardware-based cryptographic one-way functions that, inpractice, would be hard to invert even if P=NP and linear-time satisfiabilityalgorithms exist. Such functions use a hardware-based component with omega(n^2)size circuits, and omega(n^2) run time.

The Security of Hardware-Based Omega(n^2) Cryptographic One-Way Functions: Beyond Satisfiability and P=NP