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Paper: New Communication-Efficient Oblivious Transfer Protocols Based on Pairings

Authors:
Helger Lipmaa
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URL: http://eprint.iacr.org/2007/133
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Abstract: We construct two simple families of two-message $(n,1)$-oblivious transfer protocols based on degree-$t$ homomorphic cryptosystems with the communication of respectively $1+\lceil n/t\rceil$ and $3+\lceil n/(t+1)\rceil$ ciphertexts. The construction of both families relies on efficient cryptocomputable conditional disclosure of secret protocols; the way this is done may be of independent interest. The currently most interesting case $t=2$ can be based on the Boneh-Goh-Nissim cryptosystem. We show how to reduce the communication of virtually any existing oblivious transfer protocols by proposing a new related communication-efficient generic transformation from computationally-private information retrieval protocols to oblivious transfer protocols.
BibTeX
@misc{eprint-2007-13415,
  title={New Communication-Efficient Oblivious Transfer Protocols Based on Pairings},
  booktitle={IACR Eprint archive},
  keywords={cryptographic protocols/Conditional disclosure of secrets, homomorphic encryption, oblivious transfer},
  url={http://eprint.iacr.org/2007/133},
  note={ h.lipmaa@cs.ucl.ac.uk 13673 received 17 Apr 2007, last revised 9 Jun 2007},
  author={Helger Lipmaa},
  year=2007
}