nPAKE+: a tree-based group password-authenticated key exchange protocol using different passwords

  • Authors:
  • Zhiguo Wan;Robert H. Deng;Feng Bao;Bart Preneel;Ming Gu

  • Affiliations:
  • Key Laboratory for Information System Security, Ministry of Education, National Laboratory for Information Science and Technology, School of Software, Tsinghua University, Beijing, China;School of Information Systems, Singapore Management University, Singapore;Institute for Infocomm Research, Singapore;K.U. Leuven, ESAT, SCD, Leuven, Belgium;Key Laboratory for Information System Security, Ministry of Education, National Laboratory for Information Science and Technology, School of Software, Tsinghua University, Beijing, China

  • Venue:
  • Journal of Computer Science and Technology
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

Although two-party password-authenticated key exchange (PAKE) protocols have been intensively studied in recent years, group PAKE protocols have received little attention. In this paper, we propose a tree-based group PAKE protocol -- nPAKE+ protocol under the setting where each party shares an independent password with a trusted server. The nPAKE+ protocol is a novel combination of the hierarchical key tree structure and the password-based Diffie-Hellman exchange, and hence it achieves substantial gain in computation efficiency. In particular, the computation cost for each client in our protocol is only O(log n). Additionally, the hierarchical feature of nPAKE+ enables every subgroup to obtain its own subgroup key in the end. We also prove the security of our protocol under the random oracle model and the ideal cipher model.