A fuzzy extractor is a security primitive that allows for reproducible extraction of an almost uniform key from a non-uniform noisy source. We analyze a fuzzy extractor scheme that uses universal hash functions for both information reconciliation and privacy amplification. This is a useful scheme when the number of error patterns likely to occur is limited, regardless of the error probabilities. We derive a sharp bound on the uniformity of the extracted key, making use of the concatenation property of universal hash functions and a recent tight formulation of the leftover hash lemma.
@InProceedings{skoric_et_al:DagSemProc.09282.3, author = {Skoric, Boris and Tuyls, Pim}, title = {{An efficient fuzzy extractor for limited noise}}, booktitle = {Foundations for Forgery-Resilient Cryptographic Hardware}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2010}, volume = {9282}, editor = {Jorge Guajardo and Bart Preneel and Ahmad-Reza Sadeghi and Pim Tuyls}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09282.3}, URN = {urn:nbn:de:0030-drops-24094}, doi = {10.4230/DagSemProc.09282.3}, annote = {Keywords: Fuzzy Extractor, PUF, physical unclonable function, universal hash} }
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