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Efficient Identity-Based Encryption without Pairings and Key Escrow for Mobile Devices

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Wireless Algorithms, Systems, and Applications (WASA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7992))

Abstract

We propose a new construction of identity-based encryption without key escrow over the tradition cryptosystems. The security of our scheme follows from the decisional Diffie-Hellman assumption and the difficulty of a new problem – modular inversion hidden number problem with error (MIHNPwE). The latter can be seen as a generalization of the modular inversion hidden number problem. We give an analysis on the hardness of MIHNPwE by lattice techniques. In our construction, we generate each user’s partial private key in the form of an MIHNPwE instance. The hardness of MIHNPwE provides our scheme with resistance against key-collusion attacks from any number of traitors.

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References

  1. Shamir, A.: Identity-based cryptosystems and signature schemes. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47–53. Springer, Heidelberg (1985)

    Chapter  Google Scholar 

  2. Boneh, D., Franklin, M.: Identity-based encryption from the weil pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213–229. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  3. Cocks, C.: An identity based encryption scheme based on quadratic residues. In: Honary, B. (ed.) Cryptography and Coding 2001. LNCS, vol. 2260, pp. 360–363. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  4. Di Crescenzo, G., Saraswat, V.: Public key encryption with searchable keywords based on jacobi symbols. In: Srinathan, K., Rangan, C.P., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol. 4859, pp. 282–296. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  5. Ateniese, G., Gasti, P.: Universally anonymous ibe based on the quadratic residuosity assumption. In: Fischlin, M. (ed.) CT-RSA 2009. LNCS, vol. 5473, pp. 32–47. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  6. Boneh, D., Gentry, C., Hamburg, M.: Space-efficient identity based encryption without pairings. In: 48th Annual IEEE Symposium on Foundations of Computer Science, FOCS, pp. 647–657 (2007)

    Google Scholar 

  7. Cash, D., Hofheinz, D., Kiltz, E., Peikert, C.: Bonsai trees, or how to delegate a lattice basis. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 523–552. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  8. Boneh, D., Franklin, M.K.: Identity-based encryption from the weil pairing. SIAM J. Comput. 32(3), 586–615 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. Gemmel, P.: An introduction to threshold cryptography. In: CryptoBytes, a Technical Newsletter of RSA Laboratories, vol. 2(7) (1997)

    Google Scholar 

  10. Chen, L., Harrison, K., Soldera, D., Smart, N.P.: Applications of multiple trust authorities in pairing based cryptosystems. In: Davida, G.I., Frankel, Y., Rees, O. (eds.) InfraSec 2002. LNCS, vol. 2437, pp. 260–275. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. Gentry, C., Silverberg, A.: Hierarchical id-based cryptography. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 548–566. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  12. Boneh, D.: The decision diffie-hellman problem. In: Buhler, J.P. (ed.) ANTS 1998. LNCS, vol. 1423, pp. 48–63. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  13. Micciancio, D.: The geometry of lattice cryptography. In: Aldini, A., Gorrieri, R. (eds.) FOSAD 2011. LNCS, vol. 6858, pp. 185–210. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  14. Cheng, Z., Comley, R., Vasiu, L.: Remove key escrow from the identity-based encryption system. In: IFIP International Federation for Information Processing, vol. 155, pp. 37–50 (2004)

    Google Scholar 

  15. Canetti, R., Halevi, S., Katz, J.: A forward-secure public-key encryption scheme. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 255–271. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Boneh, D., Boyen, X.: Efficient selective-id secure identity-based encryption without random oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 223–238. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  17. Boneh, D., Halevi, S., Howgrave-Graham, N.: The modular inversion hidden number problem. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 36–51. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  18. Coppersmith, D.: Small solutions to polynomial equations, and low exponent rsa vulnerabilities. J. Cryptology 10(4), 233–260 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  19. Fujisaki, E., Okamoto, T.: Secure integration of asymmetric and symmetric encryption schemes. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, p. 537. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

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Zhu, Y., Ma, D., Wang, S., Feng, R. (2013). Efficient Identity-Based Encryption without Pairings and Key Escrow for Mobile Devices. In: Ren, K., Liu, X., Liang, W., Xu, M., Jia, X., Xing, K. (eds) Wireless Algorithms, Systems, and Applications. WASA 2013. Lecture Notes in Computer Science, vol 7992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39701-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-39701-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39700-4

  • Online ISBN: 978-3-642-39701-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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