A Strong Ramp Secret Sharing Scheme Using Matrix Projection

  • Authors:
  • Li Bai

  • Affiliations:
  • Temple University, USA

  • Venue:
  • WOWMOM '06 Proceedings of the 2006 International Symposium on on World of Wireless, Mobile and Multimedia Networks
  • Year:
  • 2006

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Abstract

This paper presents a strong (k, n) threshold-based ramp secret sharing scheme with k access levels. The secrets are the elements represented in a square matrix S. The secret matrix S can be shared among n different participants using a matrix projection technique where: i) any subset of k participants can collaborate together to reconstruct the secret, and ii) any subset of (k - 1) or fewer participants cannot partially discover the secret matrix. The primary advantages are its large compression rate on the size of the shares and its strong protection of the secrets.