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Shared Secret Reconstruction

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Abstract

In this paper we consider the secret reconstruction problem in a secret sharing scheme. We emphasize that a shared secret should be reconstructed in a fair way, i.e., all involved participants should have the same chance to be able to reconstruct the shared secret. We propose and analyze several methods to achieve such a fair reconstruction of shared secrets.

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References

  1. D. Beaver and S. Goldwasser, Multiparty computation with faulty majority, FOCS89, pp. 468-473.

  2. J. C. Benaloh and J. Leichter, Generalized secret sharing and monotone functions, CRYPTO'88, pp. 27-35.

  3. G. R. Blakley, Safeguarding cryptographic keys, Proc. AFIPS 1979 Natl. Computer Conf., Vol. 48 (1979) pp. 313-317.

    Google Scholar 

  4. E. F. Brickell and D. R. Stinson, The detection of cheaters in threshold schemes, Crypto'88, pp. 564-577.

  5. D. Chaum, I. Damgard, and J. van de Graaf, Multiparty computations ensuring privacy of each party's input and correctness of the result, CRYPTO'87, pp. 87-119.

  6. B. Chor, S. Goldwasser, S. Micali, and B. Awerbuch, Verifiable secret sharing and achieving simultaneity in the presence of faults, FOCS 85, pp. 383-395.

  7. S. Goldwasser and L. Levin, Fair computation of general functions in presence of immoral majority, CRYPTO'90, pp. 77-93.

  8. M. Ito, A. Saito, and T. Nishizeki, Secret sharing scheme realizing general access structure, Proc. IEEE Global Telecommunications Conf., Globecom 87, Tokyo, Japan (1987) pp. 99-102.

  9. T. Rabin, Robust sharing of secrets when the dealer is honest or cheating, Journal of ACM, Vol. 41, No.6 (1994) pp. 1089-1109.

    Article  Google Scholar 

  10. T. Rabin and M. Ben-Or, Verifiable secret sharing and multiparty protocols with honest majority, STOC 89, pp. 73-85.

  11. A. Renyi, Probability Theory, North-Holland Publishing Company, Amsterdam (1970).

    Google Scholar 

  12. A. Shamir, How to share a secret, CACM, Vol. 22, No.11 (1979) pp. 612-613.

    Google Scholar 

  13. T. Tedrick, How to exchange half a bit, Crypto'83, pp. 147-151.

  14. T. Tedrick, Fair exchange of secrets, Crypto'84, pp. 434-438.

  15. M. Tompa and H. Woll, How to share a secret with cheaters, Crypto'86, pp. 133-138.

  16. A. Yao, How to generate and exchange secrets, FOCS, Vol. 86, pp. 162-167.

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Authors and Affiliations

  1. Information Security Research Center, Queensland University of Technology, Gardens Point, GPO Box 2434, Brisbane, QLD, 4001, Australia

    Jingmin He & Ed Dawson

Authors
  1. Jingmin He
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  2. Ed Dawson
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He, J., Dawson, E. Shared Secret Reconstruction. Designs, Codes and Cryptography 14, 221–237 (1998). https://doi.org/10.1023/A:1008200702849

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  • DOI: https://doi.org/10.1023/A:1008200702849

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