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Mathematical Model of Strong Physically Unclonable Functions Based on Hybrid Boolean Networks

20 Jul 2022arXiv:2207.10816links table onlyarchive 2025-07-28

Noeloikeau Charlot, Daniel J. Gauthier, Daniel Canaday, Andrew Pomerance

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We introduce a mathematical framework for simulating Hybrid Boolean Network (HBN) Physically Unclonable Functions (PUFs, HBN-PUFs). We verify that the model is able to reproduce the experimentally observed PUF statistics for uniqueness μᵢₙₜₑᵣ and reliability μᵢₙₜᵣₐ obtained from experiments of HBN-PUFs on Cyclone V FPGAs. Our results suggest that the HBN-PUF is a true `strong' PUF in the sense that its security properties depend exponentially on both the manufacturing variation and the challenge-response space. Our Python simulation methods are open-source and available at https://github.com/Noeloikeau/networkm.

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