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A Secure and Efficient (t, n) Threshold Verifiable Multi-secret Sharing Scheme

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3802))

Abstract

Ting-Yi Chang et al.(2005) have proposed an efficient (t, n) threshold verifiable multi-secret sharing (VMSS) scheme, which is more secure than the one adopted in Lin and Wu (1999) and it can provide more efficient performance than the other VMSS schemes in terms of computational complexity. However, this paper will show that Chang et al.’s scheme is in fact insecure by presenting a conspiracy attack on it. Furthermore, a more secure scheme is proposed.

Supported by the National Natural Science Foundation of China under Grant No.10271069; the Natural Science Research Program of Shaanxi Province of China under Grant No.2004A14; Postgraduates initiative funds of Shaanxi Normal University.

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References

  1. Harn, L.: Efficient sharing (broadcasting) of multiple secret. IEE Proc. Comput. Digit. Tech. 142(3), 237–240 (1995)

    Article  Google Scholar 

  2. Chen, L., Gollmann, D., Mitchell, C.J., Wild, P.: Secret sharing with reusable polynomials. In: Proceedings of ACISP’s 1997, pp. 183–193 (1997)

    Google Scholar 

  3. Lin, T.Y., Wu, T.C. (t, n) threshold verifiable multi-secret sharing scheme based on factorization intractability and discrete logarithm modulo a composite problems. IEE Proc. Comput. Digit. Tech. 146(5), 264–268 (1999)

    Article  Google Scholar 

  4. Chang, T.-Y., Hwang, M.-S., Yang, W.-P.: An improvement on the Lin-Wu (t, n) threshold verifiable multi-secret sharing scheme. Applied Mathematics and Computation 163, 169–178 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Li, C.-M., Hwang, T., Lee, N.-Y.: Remark on the Threshold RSA Signature Scheme. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 413–419. Springer, Heidelberg (1994)

    Google Scholar 

  6. Adleman, L., McCurley, K.: Open Problems in Number Theoretic Complexity. In: Huang, M.-D.A., Adleman, L.M. (eds.) ANTS 1994. LNCS, vol. 877, pp. 291–322. Springer, Heidelberg (1994)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Huang, Mj., Zhang, Jz., Xie, Sc. (2005). A Secure and Efficient (t, n) Threshold Verifiable Multi-secret Sharing Scheme. In: Hao, Y., et al. Computational Intelligence and Security. CIS 2005. Lecture Notes in Computer Science(), vol 3802. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11596981_78

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  • DOI: https://doi.org/10.1007/11596981_78

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30819-5

  • Online ISBN: 978-3-540-31598-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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