Efficient (n, t, n) secret sharing schemes

  • Authors:
  • Yan-Xiao Liu;Lein Harn;Ching-Nung Yang;Yu-Qing Zhang

  • Affiliations:
  • Key Lab of Computer Networks and Information Security of Ministry of Education, Xidian University, China;CSEE Department, University of Missouri-Kansas City, USA;Department of Computer Science and Information Engineering, National Dong Hwa University, Taiwan;Key Lab of Computer Networks and Information Security of Ministry of Education, Xidian University, China and National Computer Network Intrusion Protection Center, GUCAS, China

  • Venue:
  • Journal of Systems and Software
  • Year:
  • 2012

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Abstract

Recently, Harn and Lin introduced a notion of strong t-consistency of a (t, n) secret sharing scheme and proposed a strong (n, t, n) verifiable secret sharing (VSS). In this paper, we propose a strong (n, t, n) VSS which is more efficient than Harn and Lin's VSS. Using the same approach, we propose a (n, t, n) multi-secret sharing scheme (MSS) to allow shareholders to share n-t+1 secrets. Also, the proposed (n, t, n) MSS can be modified to include the verifiable feature. All proposed schemes are unconditionally secure and are based on Shamir's (t, n) secret sharing scheme.