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Efficient Fuzzy Extraction of PUF-Induced Secrets: Theory and Applications

  • Jeroen Delvaux
  • Dawu Gu
  • Ingrid Verbauwhede
  • Matthias Hiller
  • Meng-Day (Mandel) Yu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9813)

Abstract

The device-unique response of a physically unclonable function (PUF) can serve as the root of trust in an embedded cryptographic system. Fuzzy extractors transform this noisy non-uniformly distributed secret into a stable high-entropy key. The overall efficiency thereof, typically depending on error-correction with a binary [nkd] block code, is determined by the universal and well-known \((n-k)\) bound on the min-entropy loss. We derive new considerably tighter bounds for PUF-induced distributions that suffer from, e.g., bias or spatial correlations. The bounds are easy-to-evaluate and apply to large non-trivial codes, e.g., BCH, Hamming and Reed-Muller codes. Apart from an inherent reduction in implementation footprint, the newly developed theory also facilitates the analysis of state-of-the-art error-correction methods for PUFs. As such, we debunk the reusability claim of the reverse fuzzy extractor. Moreover, we provide proper quantitative motivation for debiasing schemes, as this was missing in the original proposals.

Keywords

Fuzzy extractor Secure sketch Min-entropy Physically unclonable function Coding theory 

Notes

Acknowledgment

The authors greatly appreciate the support received. The European Union’s Horizon 2020 research and innovation programme under grant number 644052 (HECTOR). The Research Council of KU Leuven, GOA TENSE (GOA/11/007), the Flemish Government through FWO G.0550.12N and the Hercules Foundation AKUL/11/19. The national major development program for fundamental research of China (973 Plan) under grant number 2013CB338004. Jeroen Delvaux is funded by IWT-Flanders grant number SBO 121552. Matthias Hiller is funded by the German Federal Ministry of Education and Research (BMBF) in the project SIBASE through grant number 01IS13020A.

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Copyright information

© International Association for Cryptologic Research 2016

Authors and Affiliations

  • Jeroen Delvaux
    • 1
    • 2
  • Dawu Gu
    • 2
  • Ingrid Verbauwhede
    • 1
  • Matthias Hiller
    • 3
  • Meng-Day (Mandel) Yu
    • 1
    • 4
    • 5
  1. 1.KU Leuven, ESAT/COSIC and iMindsLeuvenBelgium
  2. 2.Shanghai Jiao Tong University, CSE/LoCCSShanghaiChina
  3. 3.Chair of Security in Information TechnologyTechnical University of MunichMunichGermany
  4. 4.Verayo Inc.San JoseUSA
  5. 5.CSAIL, MITCambridgeUSA

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