### Abstract

Fuzzy extractors are a powerful tool to extract randomness from noisy
data. A fuzzy extractor can extract randomness only if the source data is discrete
while in practice source data is continuous. Using quantizers to transform
continuous data into discrete data is a commonly used solution. However,
as far as we know no study has been made of the effect of the quantization
strategy on the performance of fuzzy extractors. We construct the
encoding and the decoding function of a fuzzy extractor using quantization
index modulation (QIM) and we express properties of this fuzzy extractor in
terms of parameters of the used QIM. We present and analyze an optimal (in
the sense of embedding rate) two dimensional construction. Our 6-hexagonal
tiling construction offers $( \frac{log_2 6}{2}-1 ) \approx 0.3$ extra bits per dimension of the
space compared to the known square quantization based fuzzy extractor.

Original language | Undefined |
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Place of Publication | Enschede |

Publisher | Distributed and Embedded Security (DIES) |

Number of pages | 15 |

Publication status | Published - Jul 2007 |

### Publication series

Name | CTIT Technical Report Series |
---|---|

Publisher | University of Twente, CTIT |

No. | LNCS4549/TR-CTIT-07-52 |

ISSN (Print) | 1381-3625 |

### Keywords

- EWI-10785
- SCS-Cybersecurity
- IR-59974
- METIS-241791
- SCS-Safety

## Cite this

Buhan, I. R., Doumen, J. M., Hartel, P. H., & Veldhuis, R. N. J. (2007).

*Constructing practical Fuzzy Extractors using QIM*. (CTIT Technical Report Series; No. LNCS4549/TR-CTIT-07-52). Enschede: Distributed and Embedded Security (DIES).