Paper 2003/221 Original: eprint.iacr.org/2003/221 ↗

A Cryptanalysis of the Original Domingo-Ferrer's Algebraic Privacy Homomophism

Jung Hee Cheon
Hyun Soo Nam
Abstract

We propose a cryptanalysis of the original Domingo-Ferrer's algebraic privacy homomorphism. We show that the scheme over $\Z_n$ can be broken by $d+1$ known plaintexts in $O(d^3\log^2 n)$ time when it has $d$ times expansion through the encryption. Furthermore even when the public modulus $n$ is kept secret, it can be broken by $d+2$ known plaintexts in time at most $O(d^5\log^2(dn))$.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2003-10-13: last updated
2003-10-12: published
Short URL
https://ia.cr/2003/221
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2003/221,
      author = {Jung Hee Cheon and Hyun Soo Nam},
      title = {A Cryptanalysis of the Original Domingo-Ferrer's Algebraic Privacy Homomophism},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/221},
      year = {2003},
      url = {https://eprint.iacr.org/2003/221}
}
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