Inner-product lossy trapdoor functions and applications

  • Authors:
  • Xiang Xie;Rui Xue;Rui Zhang

  • Affiliations:
  • Institute of Software, Chinese Academy of Sciences, China, Graduate University of Chinese Academy of Sciences, China;The State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, China;The State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, China

  • Venue:
  • ACNS'12 Proceedings of the 10th international conference on Applied Cryptography and Network Security
  • Year:
  • 2012

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Abstract

In this paper, we propose a new cryptographic primitive called inner-product lossy trapdoor function (IPLTDF). We give a formal definition, and a concrete construction from lattices. We then show this primitive is useful to obtain efficient chosen-plaintext secure inner-product encryption (IPE) schemes. The resulting IPE scheme has almost the same public key size for multi-bit encryption compared with a recent IPE scheme proposed by Agrawal, Freeman and Vaikuntanathan [] for single-bit encryption. Unfortunately, our IPE scheme only supports attribute vectors with logarithmic length. On the positive side, our basic IPE scheme can be extended to achieve chosen-ciphertext (CCA) security. As far as we are aware, this is the first CCA-secure IPE scheme based on lattices.