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On automatic secret generation and sharing for Karin-Greene-Hellman scheme

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Abstract

The secret considered is a binary string of fixed length. In the paper we propose a method of automatic secret generation and sharing. We show how to simultaneously generate and share random secret. Such a secret remains unknown until it is reconstructed. Next, we propose a method of automatic sharing of a known secret. In this case the Dealer does not know the secret and the secret's Owner does not know the shares. We discuss how to use extended capabilities in the proposed method.

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References

  1. Asmuth C. and Bloom J. 1983. ‘A modular approach to key safeguarding’. IEEE Transactions on Information Theory IT-29, pp. 208–211

    Google Scholar 

  2. Blakley G.R. 1979. ’safeguarding cryptographic keys’. Proceedings AFIPS I979 National Computer Conference, pp. 313–317.

    Google Scholar 

  3. Blundo C, Giorgio Gaggia A., Stinson D.R. 1997.‘On the dealer's randomness required in secret sharing schemes’. Designs, Codes and Cryptography 11, pp. 107–122.

    Article  MATH  Google Scholar 

  4. Blundo C, Stinson D.R. 1997.’ Anonymous secret sharing schemes’. Discrete Applied Mathematics 77, pp. 13–28.

    Article  MathSciNet  MATH  Google Scholar 

  5. Brickell E.F. 1989. ’some ideal secret sharing schemes’ Journal of Combinatorial Mathematics and Combinatorial Computing 6, pp. 105–113.

    MathSciNet  MATH  Google Scholar 

  6. Kamin E.D., J.W. Greene, and Hellman M.E.1983. ‘On secret sharing systems’. IEEE Transactions on Information Theory IT-29, pp. 35–41.

    Google Scholar 

  7. Kotulski Z. 2001. ‘Random number generators: algorithms, testing, applications’. (Polish) Mat. Stosow. No.2(43), pp. 32–66.

    MathSciNet  Google Scholar 

  8. Kulesza K., Kotulski Z. 2002. ‘On automatic secret generation and sharing, Part 1,2’ Proceedings of the 9 th International Conference on Advanced Computer Systems, ACS′2002, pp. 81–96.

    Google Scholar 

  9. Menezes A.J, van Oorschot P. and Vanstone S.C. 1997. ‘Handbook of Applied Cryptography’. CRC Press, Boca Raton.

    Google Scholar 

  10. Pieprzyk J. 1995. ‘An introduction to cryptography’, draft from the Internet.

    Google Scholar 

  11. Shamir A.1979. ‘How to share a secret’. Communication of the ACM22, pp. 612–613

    Google Scholar 

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Jerzy Sołdek Leszek Drobiazgiewicz

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© 2003 Springer Science+Business Media New York

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Kulesza, K., Kotulski, Z. (2003). On automatic secret generation and sharing for Karin-Greene-Hellman scheme. In: Sołdek, J., Drobiazgiewicz, L. (eds) Artificial Intelligence and Security in Computing Systems. The Springer International Series in Engineering and Computer Science, vol 752. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9226-0_22

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  • DOI: https://doi.org/10.1007/978-1-4419-9226-0_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4847-4

  • Online ISBN: 978-1-4419-9226-0

  • eBook Packages: Springer Book Archive

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