Efficient, XOR-Based, Ideal \((t,n)-\)threshold Schemes

  • Liqun Chen
  • Thalia M. Laing
  • Keith M. Martin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10052)


We propose a new, lightweight \((t,n)-\)threshold secret sharing scheme that can be implemented using only XOR operations. Our scheme is based on an idea extracted from a patent application by Hewlett Packard that utilises error correction codes. Our scheme improves on the patent by requiring fewer randomly generated bits and by reducing the size of shares given to each player, thereby making the scheme ideal. We provide a security proof and efficiency analysis. We compare our scheme to existing schemes in the literature and show that our scheme is more efficient than other schemes, especially when t is large.


Threshold Secret sharing Perfect Efficient Ideal Error correction 


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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Liqun Chen
    • 1
    • 2
  • Thalia M. Laing
    • 3
  • Keith M. Martin
    • 3
  1. 1.Hewlett-Packard EnterpriseBristolUK
  2. 2.University of SurreyGuildfordUK
  3. 3.Information Security GroupRoyal Holloway, University of LondonEghamUK

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