Paper 2015/1158 Original: eprint.iacr.org/2015/1158 ↗

A note on the optimality of frequency analysis vs. $\ell_p$-optimization

Marie-Sarah Lacharité
Kenneth G. Paterson
Abstract

Naveed, Kamara, and Wright's recent paper "Inference Attacks on Property-Preserving Encrypted Databases" (ACM-CCS 2015) evaluated four attacks on encrypted databases, such as those based on the design of CryptDB (Popa et al., SOSP 2011). Two of these attacks---frequency analysis and l_p-optimization---apply to deterministically encrypted columns when there is a publicly-available auxiliary data set that is "well-correlated" with the ciphertext column. In their experiments, frequency analysis performed at least as well as l_p-optimization for p=1, 2, and 3. We use maximum likelihood estimation to confirm their intuition and show that frequency analysis is an optimal cryptanalytic technique in this scenario.

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Available format(s)
PDF
Publication info
Preprint.
History
2015-11-30: last updated
2015-11-30: published
Short URL
https://ia.cr/2015/1158
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2015/1158,
      author = {Marie-Sarah Lacharité and Kenneth G.  Paterson},
      title = {A note on the optimality of frequency analysis vs. $\ell_p$-optimization},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/1158},
      year = {2015},
      url = {https://eprint.iacr.org/2015/1158}
}
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