Fair Threshold Decryption with Semi-Trusted Third Parties

  • Authors:
  • Jeongdae Hong;Jinil Kim;Jihye Kim;Matthew K. Franklin;Kunsoo Park

  • Affiliations:
  • School of Computer Science and Engineering, Seoul National University,;School of Computer Science and Engineering, Seoul National University,;ISaC and Department of Mathematical Sciences, Seoul National University,;Department of Computer Science, University of California, Davis,;School of Computer Science and Engineering, Seoul National University,

  • Venue:
  • ACISP '09 Proceedings of the 14th Australasian Conference on Information Security and Privacy
  • Year:
  • 2009

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Abstract

A threshold decryption scheme is a multi-party public key cryptosystem that allows any sufficiently large subset of participants to decrypt a ciphertext, but disallows the decryption otherwise. Many threshold cryptographic schemes have been proposed so far, but fairness is not generally considered in this earlier work. In this paper, we present fair threshold decryption schemes, where either all of the participants can decrypt or none of them can. Our solutions employ semi-trusted third parties (STTP) and off-line semi-trusted third parties (OTTP) previously used for fair exchange. We consider a number of variants of our schemes to address realistic alternative trust scenarios. Although we describe our schemes using a simple hashed version of ElGamal encryption, our methods generalize to other threshold decryption schemes and threshold signature schemes as well.