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Spatial Encryption under Simpler Assumption

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Provable Security (ProvSec 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5848))

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Abstract

Spatial encryption was first proposed by Boneh and Hamburg. They showed that many useful encryption systems can be derived from it. In this paper, we describe two variants of spatial encryption. First we present a scheme that can be proved to be secure under the decisional bilinear Diffie-Hellman assumption, which is much simpler than the BDHE assumption used by Boneh and Hamburg. However, as a compromise, our ciphertext size and private key size are larger. We also discuss some techniques to shrink the private key of this scheme in a real application. Finally, we provide a hybrid construction which allows an optimal tradeoff between efficiency and security.

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References

  1. Abdalla, M., Catalano, D., Dent, A.W., Malone-Lee, J., Neven, G., Smart, N.P.: Identity-based encryption gone wild. In: Cryptology ePrint Archive, Report 2006/304 (2006), http://eprint.iacr.org/

  2. Abdalla, M., Kiltz, E., Neven, G.: Generalized key delegation for hierarchical identity-based encryption. In: Biskup, J., López, J. (eds.) ESORICS 2007. LNCS, vol. 4734, pp. 139–154. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. 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)

    Google Scholar 

  4. Boneh, D., Boyen, X., Goh, E.-J.: Hierarchical identity based encryption with constant size ciphertext. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 440–456. Springer, Heidelberg (2005)

    Google Scholar 

  5. Boneh, D., Franklin, M.K.: 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 

  6. Boneh, D., Gentry, C., Waters, B.: Collusion resistant broadcast encryption with short ciphertexts and private keys. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 258–275. Springer, Heidelberg (2005)

    Google Scholar 

  7. Boneh, D., Hamburg, M.: Generalized identity based and broadcast encryption schemes. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol. 5350, pp. 455–470. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  8. Boneh, D., Waters, B.: Conjunctive, subset, and range queries on encrypted data. In: Vadhan, S.P. (ed.) TCC 2007. LNCS, vol. 4392, pp. 535–554. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Canetti, R., Halevi, S., Katz, J.: A forward-secure public-key encryption scheme. In: EUROCRYPT, pp. 255–271 (2003)

    Google Scholar 

  10. 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 

  11. Goyal, V., Pandey, O., Sahai, A., Waters, B.: Attribute-based encryption for fine-grained access control of encrypted data. In: ACM Conference on Computer and Communications Security, pp. 89–98 (2006)

    Google Scholar 

  12. Horwitz, J., Lynn, B.: Toward hierarchical identity-based encryption. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 466–481. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  13. Katz, J., Sahai, A., Waters, B.: Predicate encryption supporting disjunctions, polynomial equations, and inner products. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 146–162. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Sahai, A., Waters, B.: Fuzzy identity-based encryption. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 457–473. Springer, Heidelberg (2005)

    Google Scholar 

  15. 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 

  16. Waters, B.: Ciphertext-policy attribute-based encryption: An expressive, efficient, and provably secure realization. Cryptology ePrint Archive, Report 2008/290 (2008), http://eprint.iacr.org/

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Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University,  

    Muxin Zhou & Zhenfu Cao

Authors
  1. Muxin Zhou
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  2. Zhenfu Cao
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Editor information

Editors and Affiliations

  1. Department of Computing, Macquarie University, 2109, Sydney, NSW, Australia

    Josef Pieprzyk

  2. School of Information Science and Technology, Sun Yat-Sen University, 510275, Guangzhou, P.R.China

    Fangguo Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Zhou, M., Cao, Z. (2009). Spatial Encryption under Simpler Assumption. In: Pieprzyk, J., Zhang, F. (eds) Provable Security. ProvSec 2009. Lecture Notes in Computer Science, vol 5848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04642-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-04642-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04641-4

  • Online ISBN: 978-3-642-04642-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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