A new signature scheme without random oracles from bilinear pairings

  • Authors:
  • Fangguo Zhang;Xiaofeng Chen;Willy Susilo;Yi Mu

  • Affiliations:
  • Department of Electronics and Communication Engineering, Sun Yat-Sen University, Guangzhou, P.R. China;Department of Computer Science, Sun Yat-Sen University, Guangzhou, P.R. China;School of IT and Computer Science, University of Wollongong, Wollongong, Australia;School of IT and Computer Science, University of Wollongong, Wollongong, Australia

  • Venue:
  • VIETCRYPT'06 Proceedings of the First international conference on Cryptology in Vietnam
  • Year:
  • 2006

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Abstract

In this paper, we propose a new signature scheme that is existentially unforgeable under a chosen message attack without random oracle. The security of the proposed scheme depends on a new complexity assumption called the k+1 square roots assumption. Moreover, the k+1 square roots assumption can be used to construct shorter signatures under the random oracle model.