Reusable and robust fuzzy extractor for CRS-dependent sources

Abstract Fuzzy extractors allow for the extraction and reproduction of a nearly uniform string from a noisy and non-uniform source. Reusable and robust fuzzy extractors further require that the output string should remain pseudorandom under multiple extractions and any modification of public value s...

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Main Authors: Yucheng Ma, Peisong Shen, Xue Tian, Kewei Lv, Chi Chen
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Cybersecurity
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Online Access:https://doi.org/10.1186/s42400-024-00294-w
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author Yucheng Ma
Peisong Shen
Xue Tian
Kewei Lv
Chi Chen
author_facet Yucheng Ma
Peisong Shen
Xue Tian
Kewei Lv
Chi Chen
author_sort Yucheng Ma
collection DOAJ
description Abstract Fuzzy extractors allow for the extraction and reproduction of a nearly uniform string from a noisy and non-uniform source. Reusable and robust fuzzy extractors further require that the output string should remain pseudorandom under multiple extractions and any modification of public value should be detectable. Existing constructions of reusable and robust fuzzy extractors are all designed in the Common Reference String (CRS) model and work only for CRS-independent sources. In this work, we introduce a construction of reusable and robust fuzzy extractor for CRS-dependent sources. Our construction is built upon some well-studied cryptography, including a collision resistant hash function, a symmetric key encryption that keeps secure with respect to auxiliary input, a public key encryption and simulation-sound non-interactive zero-knowledge argument. We also present some instantiations of these primitives from Learning with Parity Noise (LPN) assumption and Short Integer Solution (SIS) assumption. These instantiations result in the first reusable and robust fuzzy extractor for CRS-dependent sources that can tolerate linear errors.
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spelling doaj-art-c8a66964901c426aa63966bfc1a966bc2025-01-19T12:27:59ZengSpringerOpenCybersecurity2523-32462025-01-018111710.1186/s42400-024-00294-wReusable and robust fuzzy extractor for CRS-dependent sourcesYucheng Ma0Peisong Shen1Xue Tian2Kewei Lv3Chi Chen4Institute of Information Engineering, Chinese Academy of SciencesInstitute of Information Engineering, Chinese Academy of SciencesInstitute of Information Engineering, Chinese Academy of SciencesInstitute of Information Engineering, Chinese Academy of SciencesInstitute of Information Engineering, Chinese Academy of SciencesAbstract Fuzzy extractors allow for the extraction and reproduction of a nearly uniform string from a noisy and non-uniform source. Reusable and robust fuzzy extractors further require that the output string should remain pseudorandom under multiple extractions and any modification of public value should be detectable. Existing constructions of reusable and robust fuzzy extractors are all designed in the Common Reference String (CRS) model and work only for CRS-independent sources. In this work, we introduce a construction of reusable and robust fuzzy extractor for CRS-dependent sources. Our construction is built upon some well-studied cryptography, including a collision resistant hash function, a symmetric key encryption that keeps secure with respect to auxiliary input, a public key encryption and simulation-sound non-interactive zero-knowledge argument. We also present some instantiations of these primitives from Learning with Parity Noise (LPN) assumption and Short Integer Solution (SIS) assumption. These instantiations result in the first reusable and robust fuzzy extractor for CRS-dependent sources that can tolerate linear errors.https://doi.org/10.1186/s42400-024-00294-wFuzzy extractorRobustnessReusabilityCRS-dependent source
spellingShingle Yucheng Ma
Peisong Shen
Xue Tian
Kewei Lv
Chi Chen
Reusable and robust fuzzy extractor for CRS-dependent sources
Cybersecurity
Fuzzy extractor
Robustness
Reusability
CRS-dependent source
title Reusable and robust fuzzy extractor for CRS-dependent sources
title_full Reusable and robust fuzzy extractor for CRS-dependent sources
title_fullStr Reusable and robust fuzzy extractor for CRS-dependent sources
title_full_unstemmed Reusable and robust fuzzy extractor for CRS-dependent sources
title_short Reusable and robust fuzzy extractor for CRS-dependent sources
title_sort reusable and robust fuzzy extractor for crs dependent sources
topic Fuzzy extractor
Robustness
Reusability
CRS-dependent source
url https://doi.org/10.1186/s42400-024-00294-w
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