Adaptive and composable oblivious transfer protocols (short paper)

  • Authors:
  • Huafei Zhu;Feng Bao

  • Affiliations:
  • I2R, A*STAR, Singapore;I2R, A*STAR, Singapore

  • Venue:
  • ICICS'09 Proceedings of the 11th international conference on Information and Communications Security
  • Year:
  • 2009

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Abstract

An adaptive k-out-of-n oblivious transfer protocol (OT$_{k \times 1} ^n$) allows a receiver to obtain $m_{\sigma_{i-1}}$ before deciding on the i-th index σi. This paper studies adaptive k-out-of-n oblivious transfer protocols in the presence of static adversaries in the universal composition (UC) framework. We show that the proposed $\mathrm{OT}_{k \times 1} ^n$ protocol realizes the UC-security in the $\mathcal{F}_{\mathrm{crs}}^{\mathcal{D}}$-hybrid model under the joint assumptions that the underlying signature scheme is secure, the decisional Diffie-Hellman problem and the decisional composite residuosity problem in $Z_{N^2}$ are hard as well as all knowledge proof protocols applied in this paper are computational zero-knowledge in the presence of static adversaries.