A Provably Secure Additive and Multiplicative Privacy Homomorphism

@inproceedings{DomingoFerrer2002APS,
  title={A Provably Secure Additive and Multiplicative Privacy Homomorphism},
  author={Josep Domingo-Ferrer},
  booktitle={ISC},
  year={2002}
}
Privacy homomorphisms (PHs) are encryption transformations mapping a set of operations on cleartext to another set of operations on ciphertext. If addition is one of the ciphertext operations, then it has been shown that a PH is insecure against a chosen-cleartext attack. Thus, a PH allowing full arithmetic on encrypted data can be at best secure against known-cleartext attacks. We present one such PH (none was known so far) which can be proven secure against known-cleartext attacks, as long as… CONTINUE READING
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