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Decentralized CRT-Based Efficient Verifiable (ntn) Multi-secret Sharing Scheme

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Foundations and Practice of Security (FPS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8930))

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Abstract

Secret sharing is critical to most applications making use of security and remains one of the most challenging research areas in modern cryptography. In this paper, we propose a novel efficient multi-secret sharing scheme that is based on the (ntn) secret sharing technique. We use the Chinese remainder theorem (CRT) to generate secret shares and the reconstruction of secrets instead of using the Lagrange polynomial interpolation. In addition, we discuss the security of the scheme, and provide a new method to generate verifiable shares that make the proposed scheme a verifiable secret sharing scheme.

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References

  1. Shamir, A.: How to share a secret. Commun. ACM 22(11), 612–613 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  2. Blakley, G.R.: Safeguarding cryptographic keys. In: National Computer Conference, 1979, ser. American Federation of Information Processing Societies Proceedings, vol. 48, pp. 313–317 (1979)

    Google Scholar 

  3. Mignotte, M.: How to share a secret? In: Beth, T. (ed.) EUROCRYPT 1982. LNCS, vol. 149, pp. 371–375. Springer, Heidelberg (1983)

    Chapter  Google Scholar 

  4. Asmuth, C.A., Bloom, J.: A modular approach to key safeguarding. IEEE Trans. Inf. Theor. IT-29(2), 208–210 (1983)

    Article  MathSciNet  Google Scholar 

  5. He, J., Dawson, E.: Multistage secret sharing based on one-way function. Electron. Lett. 30(19), 1591–1592 (1994)

    Article  Google Scholar 

  6. He, J., Dawson, E.: Multisecret-sharing scheme based on one-way function. Electron. Lett. 31(2), 93–95 (1995)

    Article  Google Scholar 

  7. Lin, H.Y., Yeh, Y.S.: Dynamic multi-secret sharing scheme. Int. J. Contemp. Math. Sci. 3(1), 37–42 (2008)

    MATH  MathSciNet  Google Scholar 

  8. Chang, T., Hwang, M., Yang, W.: A new multi-stage secret sharing scheme using one-way function. ACM SIGOPS Oper. Syst. Rev. 39(1), 48–55 (2005)

    Article  MathSciNet  Google Scholar 

  9. Harn, L., Lin, C.: Strong (n, t, n) verifiable secret sharing scheme. Inf. Sci. 180(16), 3059–3064 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  10. Quisquater, M., Preneel, B., Vandewalle, J.: On the security of the threshold scheme based on the chinese remainder theorem. In: Naccache, D., Paillier, P. (eds.) PKC 2002. LNCS, vol. 2274, pp. 199–210. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. Herranz, J., Ruiz, A., Sáez, G.: New results and applications for multi-secret sharing schemes. Des. Codes Crypt. 73, 841–864 (2013)

    Article  Google Scholar 

  12. Waseda, A., Soshi, M.: Consideration for multi-threshold multi-secret sharing schemes. In: 2012 International Symposium on Information Theory and Its Applications (ISITA). IEEE (2012)

    Google Scholar 

  13. Liu, Y., Harn, L., Yang, C., Zhang, Y.: Efficient (n, t, n) secret sharing schemes. J. Syst. Softw. 85, 1325–1332 (2012)

    Article  Google Scholar 

  14. Stallings, W.: Cryptography and Network Security, 4th edn. Pearson Education India, New Delhi (2006)

    Google Scholar 

  15. Harn, L., Lin, C.: Detection and Identification of cheaters in (t, n) secret sharing scheme. Des. Codes Cryptogr. 52(1), 15–24 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  16. Ghodosi, H.: Comments on Harn–Lin’s cheating detection scheme. Des. Codes Crypt. 60(1), 63–66 (2011)

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Wen Wen .

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Wen, W., Vaidya, B., Makrakis, D., Adams, C. (2015). Decentralized CRT-Based Efficient Verifiable (ntn) Multi-secret Sharing Scheme. In: Cuppens, F., Garcia-Alfaro, J., Zincir Heywood, N., Fong, P. (eds) Foundations and Practice of Security. FPS 2014. Lecture Notes in Computer Science(), vol 8930. Springer, Cham. https://doi.org/10.1007/978-3-319-17040-4_18

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  • DOI: https://doi.org/10.1007/978-3-319-17040-4_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17039-8

  • Online ISBN: 978-3-319-17040-4

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