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Trading Time for Space: Towards an Efficient IBE Scheme with Short(er) Public Parameters in the Standard Model

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Information Security and Cryptology - ICISC 2005 (ICISC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3935))

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Abstract

At Eurocrypt 2005, Brent Waters proposed an efficient Identity Based Encryption scheme which is secure in the standard model. One drawback of this scheme is that the number of elements in the public parameter is rather large. Here we propose a generalisation of Waters scheme. In particular, we show that there is an interesting trade-off between the tightness of the security reduction and smallness of the public parameter. For a given security level, this implies that if one reduces the number of elements in public parameter then there is a corresponding increase in the computational cost due to the increase in group size. This introduces a flexibility in choosing the public parameter size without compromising in security. In concrete terms, to achieve 80-bit security for 160-bit identities we show that compared to Waters protocol the public parameter size can be reduced by almost 90 % while increasing the computation cost by 30%. Our construction is proven secure in the standard model without random oracles. Additionally, we show that CCA security can also be achieved through the reduction to oracle decision bilinear Diffie-Hellman problem (OBDH).

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References

  1. Abdalla, M., Bellare, M., Rogaway, P.: DHIES: An encryption scheme based on the Diffie-Hellman problem. In: Proceedings of CT-RSA 2001. LNCS, pp. 143–158. Springer, Heidelberg (2001)

    Google Scholar 

  2. 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 

  3. Boneh, D., Boyen, X.: Secure Identity Based Encryption without Random Oracles. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 443–459. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. Boneh, D., Boyen, X., Goh, E.: Hierarchical Identity Based Encryption with Constant Size Ciphertext. In: Cramer, R.J.F. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 440–456. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Boneh, D., Canetti, R., Halevi, S., Katz, J.: Chosen-Ciphertext Security from Identity-Based Encryption. Journal Submission. Available from D. Boneh’s website

    Google Scholar 

  6. 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 

  7. Boneh, D., Franklin, M.: Identity Based Encryption from the Weil Pairing. SIAM J. of Computing 32(3), 586–615 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  8. Boneh, D., Katz, J.: Improved Efficiency for CCA-Secure Cryptosystems Built Using Identity Based Encryption. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 87–103. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Barreto, P.S.L.M., Kim, H.Y., Lynn, B., Scott, M.: Efficient Algorithms for Pairing-Based Cryptosystems. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 354–368. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  10. Barreto P.S.L.M., Naehrig, M.: Pairing-Friendly Elliptic Curves of Prime Order. Cryptology ePrint Archive, Report 2005/133 (Accepted for presentation at SAC 2005), Available from: http://eprint.iacr.org/2005/133/

  11. Bellare, M., Rogaway, P.: Random Oracles are Practical: A Paradigm for Designing Efficient Protocols. In: ACM Conference on Computer and Communications Security - CCS 1993, pp. 62–73 (1993)

    Google Scholar 

  12. Boyen, X., Mei, Q., Waters, B.: Direct Chosen Ciphertext Security from Identity-Based Techniques. In: 12th ACM Conference on Computer and Communication Security – CCS (2005) (to appear); This version is available from Cryptology ePrint Archive, Report 2005/288

    Google Scholar 

  13. Cocks, C.: An Identity Based Encryption Scheme Based on Quadratic Residue. In: Honary, B. (ed.) Cryptography and Coding 2001. LNCS, vol. 2260, pp. 26–28. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  14. 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 

  15. Canetti, R., Halevi, S., Katz, J.: Chosen-ciphertext Security from Identity Based Encryption. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 207–222. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  16. Galindo, D.: The Exact Security of Pairing Based Encryption and Signature Schemes. In: Workshop on Provable Security, INRIA, Paris, November 3-5 (2004) (Available from author’s website)

    Google Scholar 

  17. Galbraith, S., Harrison, K., Soldera, D.: Implementing the Tate Pairing. In: Fieker, C., Kohel, D.R. (eds.) ANTS 2002. LNCS, vol. 2369, pp. 324–337. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  18. 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 

  19. Horwitz, J., Lynn, B.: Towards Hierarchical Identity-Based Encryption. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 466–481. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  20. Koblitz, N., Menezes, A.: Another look at “provable security”, Cryptology ePrint Archive, Report 2004/152, final version (to appear in Journal of Cryptology), http://eprint.iacr.org/2004/152/

  21. Lenstra, A.K., Verheul, E.R.: Selecting Cryptographic Key Sizes. Jr. Cryptology 14(4), 255–293 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  22. Sarkar, P.: HEAD: Hybrid Encryption with Delegated Decryption Capability. In: Canteaut, A., Viswanathan, K. (eds.) INDOCRYPT 2004. LNCS, vol. 3348, pp. 230–244. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  23. 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 

  24. Waters, B.: Efficient Identity-Based Encryption Without Random Oracles. In: Cramer, R.J.F. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, Springer, Heidelberg (2005); Also available from Cryptology ePrint Archive, Report 2004/180, http://eprint.iacr.org/2004/180/

    Google Scholar 

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Author information

Authors and Affiliations

  1. Applied Statistics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700108, India

    Sanjit Chatterjee & Palash Sarkar

Authors
  1. Sanjit Chatterjee
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  2. Palash Sarkar
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Editor information

Editors and Affiliations

  1. Information Security Group, Sungkyunkwan University, 300 Cheoncheon-dong, Jangan-gu, 440-746, Suwon, Gyeonggi-do, Korea

    Dong Ho Won

  2. Information Security Group, Sungkyunkwan University, 300 Cheoncheon-dong, Jangan-gu, 440-746, Suwon-si, Gyeonggi-do, Korea

    Seungjoo Kim

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© 2006 Springer-Verlag Berlin Heidelberg

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Chatterjee, S., Sarkar, P. (2006). Trading Time for Space: Towards an Efficient IBE Scheme with Short(er) Public Parameters in the Standard Model. In: Won, D.H., Kim, S. (eds) Information Security and Cryptology - ICISC 2005. ICISC 2005. Lecture Notes in Computer Science, vol 3935. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11734727_33

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  • DOI: https://doi.org/10.1007/11734727_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33354-8

  • Online ISBN: 978-3-540-33355-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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