Interactive bi-proof systems and undeniable signature schemes

  • Authors:
  • Atsushi Fujioka;Tatsuaki Okamoto;Kazuo Ohta

  • Affiliations:
  • NTT Laboratories, Nippon Telegraph and Telephone Corporation, Yokosuka-shi, Kanagawa-ken, Japan;NTT Laboratories, Nippon Telegraph and Telephone Corporation, Yokosuka-shi, Kanagawa-ken, Japan;NTT Laboratories, Nippon Telegraph and Telephone Corporation, Yokosuka-shi, Kanagawa-ken, Japan

  • Venue:
  • EUROCRYPT'91 Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques
  • Year:
  • 1991

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Abstract

This paper proposes a new construction of the minimum knowledge undeniable signature scheme which solves a problem inherent in Chaum's scheme. We formulate a new proof system, the minimum knowledge interactive bi-proof system, and a pair of languages, the common witness problem, based on the random self-reducible problem. And we show that any common witness problem has the minimum knowledge interactive bi-proof system. A practical construction for undeniable signature schemes is proposed based on such a proof system. These schemes assure signature confirmation and disavowal with the same protocol (or at the same time).