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An Oblivious Transfer Protocol with Log-Squared Communication

Authors:
Helger Lipmaa
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URL: http://eprint.iacr.org/2004/063
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Abstract: We propose a one-round $1$-out-of-$n$ computationally-private information retrieval protocol for $\ell$-bit strings with low-degree polylogarithmic receiver-computation, linear sender-computation and communication $\Theta(k\cdot\log^2{n}+\ell\cdot\log{n})$, where $k$ is a possibly non-constant security parameter. The new protocol is receiver-private if the underlying length-flexible additively homomorphic public-key cryptosystem is IND-CPA secure. It can be transformed to a one-round computationally receiver-private and information-theoretically sender-private $1$-out-of-$n$ oblivious-transfer protocol for $\ell$-bit strings, that has the same asymptotic communication and is private in the standard complexity-theoretic model.
BibTeX
@misc{eprint-2004-12037,
  title={An Oblivious Transfer Protocol with Log-Squared Communication},
  booktitle={IACR Eprint archive},
  keywords={cryptographic protocols/computationally-private information retrieval, homomorphic public-key cryptosystem, oblivious transfer},
  url={http://eprint.iacr.org/2004/063},
  note={ISC 2005 lipmaa@cyber.ee 12969 received 25 Feb 2004, last revised 5 Jul 2005},
  author={Helger Lipmaa},
  year=2004
}