Skip to main content

Expressive Attribute-Based Encryption with Constant-Size Ciphertexts from the Decisional Linear Assumption

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8642))

Abstract

We propose a key-policy attribute-based encryption (KP-ABE) scheme with constant-size ciphertexts, whose selective security is proven under the decisional linear (DLIN) assumption in the standard model. The proposed scheme also has semi-adaptively security, which is a recently proposed notion of security. The access structure is expressive, that is given by non-monotone span programs. It also has fast decryption, i.e., a decryption includes only a constant number of pairing operations. As an application of our KP-ABE construction, we also propose a fully secure attribute-based signatures with constant-size secret (signing) keys from the DLIN. For achieving the above results, we employ a hierarchical reduction technique on dual pairing vector spaces and a modified form of pairwise independence lemma specific to our proposed schemes.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Attrapadung, N.: Dual system encryption via doubly selective security: Framework, fully secure functional encryption for regular languages, and more. In: Nguyen, P.Q., Oswald, E. (eds.) EUROCRYPT 2014. LNCS, vol. 8441, pp. 557–577. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  2. Attrapadung, N., Libert, B., de Panafieu, E.: Expressive key-policy attribute-based encryption with constant-size ciphertexts. In: Catalano, et al. (eds.) [7], pp. 90–108

    Google Scholar 

  3. Beimel, A.: Secure schemes for secret sharing and key distribution. PhD Thesis, Israel Institute of Technology, Technion, Haifa (1996)

    Google Scholar 

  4. Boneh, D., Boyen, X., Goh, E.J.: Hierarchical identity based encryption with constant size ciphertext. In: Cramer (ed.) [11], pp. 440–456

    Google Scholar 

  5. Boneh, D., Boyen, X., Shacham, H.: Short group signatures. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 41–55. Springer, Heidelberg (2004)

    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)

    Chapter  Google Scholar 

  7. Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.): PKC 2011. LNCS, vol. 6571. Springer, Heidelberg (2011)

    MATH  Google Scholar 

  8. Chen, C., Chen, J., Lim, H.W., Zhang, Z., Feng, D., Ling, S., Wang, H.: Fully secure attribute-based systems with short ciphertexts/signatures and threshold access structures. In: Dawson, E. (ed.) RSA 2013. LNCS, vol. 7779, pp. 50–67. Springer, Heidelberg (2013)

    Google Scholar 

  9. Chen, J., Wee, H.: Semi-adaptive attribute-based encryption and improved delegation for boolean formula. To appear in SCN 2014. IACR Cryptology ePrint Archive 2014, 465 (2014)

    Google Scholar 

  10. Cheon, J.H.: Security analysis of the strong diffie-hellman problem. In: Vaudenay (ed.) [28], pp. 1–11

    Google Scholar 

  11. Cramer, R. (ed.): EUROCRYPT 2005. LNCS, vol. 3494. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  12. Delerablée, C.: Identity-based broadcast encryption with constant size ciphertexts and private keys. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 200–215. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Emura, K., Miyaji, A., Nomura, A., Omote, K., Soshi, M.: A ciphertext-policy attribute-based encryption scheme with constant ciphertext length. In: Bao, F., Li, H., Wang, G. (eds.) ISPEC 2009. LNCS, vol. 5451, pp. 13–23. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  14. Garg, S., Gentry, C., Halevi, S., Sahai, A., Waters, B.: Attribute-based encryption for circuits from multilinear maps. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013, Part II. LNCS, vol. 8043, pp. 479–499. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  15. Gentry, C.: Practical identity-based encryption without random oracles. In: Vaudenay (ed.) [28], pp. 445–464

    Google Scholar 

  16. Gorbunov, S., Vaikuntanathan, V., Wee, H.: Attribute-based encryption for circuits. In: Boneh, D., Roughgarden, T., Feigenbaum, J. (eds.) STOC, pp. 545–554. ACM (2013)

    Google Scholar 

  17. Herranz, J., Laguillaumie, F., Ràfols, C.: Constant size ciphertexts in threshold attribute-based encryption. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 19–34. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  18. Maji, H.K., Prabhakaran, M., Rosulek, M.: Attribute-based signatures. In: Kiayias, A. (ed.) CT-RSA 2011. LNCS, vol. 6558, pp. 376–392. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  19. Mitsunari, S., Sakai, R., Kasahara, M.: A new traitor tracing. IEICE Trans. Fundamentals E85-A(2), 481–484 (2002)

    Google Scholar 

  20. Okamoto, T., Takashima, K.: Efficient (hierarchical) inner-product encryption tightly reduced from the decisional linear assumption. IEICE Trans. Fundamentals E96-A(1), 42–52 (2013)

    Article  Google Scholar 

  21. Okamoto, T., Takashima, K.: Hierarchical predicate encryption for inner-products. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 214–231. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  22. Okamoto, T., Takashima, K.: Fully secure functional encryption with general relations from the decisional linear assumption. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 191–208. Springer, Heidelberg (2010), full version is available at http://eprint.iacr.org/2010/563

    Chapter  Google Scholar 

  23. Okamoto, T., Takashima, K.: Achieving short ciphertexts or short secret-keys for adaptively secure general inner-product encryption. In: Lin, D., Tsudik, G., Wang, X. (eds.) CANS 2011. LNCS, vol. 7092, pp. 138–159. Springer, Heidelberg (2011), full version is available at http://eprint.iacr.org/2011/648

    Chapter  Google Scholar 

  24. Okamoto, T., Takashima, K.: Efficient attribute-based signatures for non-monotone predicates in the standard model. In: Catalano, et al. (eds.) [7], pp. 35–52, full version is available at http://eprint.iacr.org/2011/700

  25. Sahai, A., Waters, B.: Fuzzy identity-based encryption. In: Cramer (ed.) [11], pp. 457–473

    Google Scholar 

  26. Sakemi, Y., Hanaoka, G., Izu, T., Takenaka, M., Yasuda, M.: Solving a discrete logarithm problem with auxiliary input on a 160-bit elliptic curve. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol. 7293, pp. 595–608. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  27. Takashima, K.: Expressive attribute-based encryption with constant-size ciphertexts from the decisional linear assumption. IACR Cryptology ePrint Archive 2014, 207 (2014)

    Google Scholar 

  28. Vaudenay, S. (ed.): EUROCRYPT 2006. LNCS, vol. 4004. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  29. Waters, B.: Dual system encryption: Realizing fully secure IBE and HIBE under simple assumptions. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 619–636. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  30. Yamada, S., Attrapadung, N., Hanaoka, G., Kunihiro, N.: A framework and compact constructions for non-monotonic attribute-based encryption. In: Krawczyk, H. (ed.) PKC 2014. LNCS, vol. 8383, pp. 275–292. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Takashima, K. (2014). Expressive Attribute-Based Encryption with Constant-Size Ciphertexts from the Decisional Linear Assumption. In: Abdalla, M., De Prisco, R. (eds) Security and Cryptography for Networks. SCN 2014. Lecture Notes in Computer Science, vol 8642. Springer, Cham. https://doi.org/10.1007/978-3-319-10879-7_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10879-7_17

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10878-0

  • Online ISBN: 978-3-319-10879-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics