A more efficient computationally sound non-interactive zero-knowledge shuffle argument

  • Authors:
  • Helger Lipmaa;Bingsheng Zhang

  • Affiliations:
  • Institute of Computer Science, University of Tartu, Tartu, Estonia;Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, Athens, Greece

  • Venue:
  • Journal of Computer Security - Advances in Security for Communication Networks
  • Year:
  • 2013

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Abstract

We propose a new non-interactive perfect zero-knowledge NIZK shuffle argument that, when compared with the only previously known efficient NIZK shuffle argument by Groth and Lu, has a small constant factor times smaller computation and communication, and is based on more standard computational assumptions. Differently from Groth and Lu who only prove the co-soundness of their argument under purely computational assumptions, we prove computational soundness under a necessary knowledge assumption. We also present a general transformation that results in a shuffle argument that has a quadratically smaller common reference string CRS and a small constant factor times longer argument than the original shuffle. This can be interpreted as a general technique of decreasing the offline cost of an arbitrary shuffle argument.