One-Round ID-Based Blind Signature Scheme without ROS Assumption

  • Authors:
  • Wei Gao;Guilin Wang;Xueli Wang;Fei Li

  • Affiliations:
  • College of Mathematics and Information, Ludong University, Yantai, China 264025 and Guangdong Key Laboratory of Information Security Technology, Guangzhou, China 510275;School of Computer Science, University of Birmingham, Birmingham, UK B15 2TT;School of Mathematics Science, South China Normal University, Guangzhou, China 510631;College of Mathematics and Information, Ludong University, Yantai, China 264025

  • Venue:
  • Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
  • Year:
  • 2008

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Abstract

In this paper, we propose the first one-round identity-based blind signature (IDBS) scheme without ROS assumption, which supposes that it is infeasible to find an overdetermined, solvable system of linear equations modulo qwith random inhomogenities [25]. Our construction has the following features. First, it achieves the optimal bound of round complexity for blind signatures, i.e., each signature can be generated with one round (or two moves) of message exchanges between the signer and signature requesting user. Second, the proposed IDBS scheme is provably secure against generic parallel attack without relying on the ROS assumption. This means our scheme can guarantee the same security level with smaller security parameter, in contrast to some IDBS schemes with ROS assumptions, such as the IDBS deduced from the blind Schnorr signature. Third, our construction is based on bilinear pairings from scratch (i.e. without using existing identity-based signature schemes, and without using existing computational assumptions). Finally, the security of our IDBS is based on a new formalized assumption, called one-more bilinear Diffie-Hellman inversion (1m-BDHI) assumption.