Statistically-hiding commitment from any one-way function

  • Authors:
  • Iftach Haitner;Omer Reingold

  • Affiliations:
  • Weizmann Institute of Science, Rehovot, Israel;Weizmann Institute of Science, Rehovot, Israel

  • Venue:
  • Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
  • Year:
  • 2007

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Abstract

We give a construction of statistically-hiding commitment schemes (ones where the hiding propertyholds information theoretically), based on the minimal cryptographic assumption that one-way functions exist. Our construction employs two-phase commitment schemes, recently constructed by Nguyen, Ong and Vadhan (FOCS '06), and universal one-way hash functions introduced and constructedby Naor and Yung (STOC '89) and Rompel (STOC '90).