Skip to main content

Efficient Attribute-Based Signature for Monotone Predicates

  • Conference paper
  • First Online:
Provable and Practical Security (ProvSec 2021)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 13059))

Included in the following conference series:

Abstract

By using attribute based signature (ABS), users can sign messages and prove that their attributes conform to the ones published by the designated attribute authority through certain verification policies. In the verification process, the identity and attributes of the signer will not be disclosed, which makes ABS scheme a convenient tool for applications requiring privacy preserving authentication and other role-based security applications.

However, previous ABSs suffer from efficiency issues related to the monotone or more expressive predicates. In this work, we propose a general construction to reduce the size of the signature, and give an instantiation based on SDH assumption in random oracle model. To achieve it, we apply a new approach to implement the monotonic access structure control so that we can reduce the cost of the signatures to be close to the number of attributes used by the signer instead of the number of attributes involved in the signature.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
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

Institutional subscriptions

References

  1. Au, M.H., Susilo, W., Mu, Y.: Constant-size dynamic k-TAA. In: De Prisco, R., Yung, M. (eds.) SCN 2006. LNCS, vol. 4116, pp. 111–125. Springer, Heidelberg (2006). https://doi.org/10.1007/11832072_8

    Chapter  Google Scholar 

  2. Au, M.H., Tsang, P.P., Susilo, W., Mu, Y.: Dynamic universal accumulators for DDH groups and their application to attribute-based anonymous credential systems. In: Fischlin, M. (ed.) CT-RSA 2009. LNCS, vol. 5473, pp. 295–308. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-00862-7_20

    Chapter  Google Scholar 

  3. Balu, A., Kuppusamy, K.: An expressive and provably secure ciphertext-policy attribute-based encryption. Inf. Sci. 276, 354–362 (2014)

    Article  MathSciNet  Google Scholar 

  4. Benaloh, J., de Mare, M.: One-way accumulators: a decentralized alternative to digital signatures. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 274–285. Springer, Heidelberg (1994). https://doi.org/10.1007/3-540-48285-7_24

    Chapter  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). https://doi.org/10.1007/978-3-540-28628-8_3

    Chapter  Google Scholar 

  6. Camenisch, J., Stadler, M.: Efficient group signature schemes for large groups. In: Kaliski, B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 410–424. Springer, Heidelberg (1997). https://doi.org/10.1007/BFb0052252

    Chapter  Google Scholar 

  7. Chase, M., Lysyanskaya, A.: On signatures of knowledge. In: Dwork, C. (ed.) CRYPTO 2006. LNCS, vol. 4117, pp. 78–96. Springer, Heidelberg (2006). https://doi.org/10.1007/11818175_5

    Chapter  Google Scholar 

  8. Chen, C., et al.: Fully secure attribute-based systems with short ciphertexts/signatures and threshold access structures. In: Dawson, E. (ed.) CT-RSA 2013. LNCS, vol. 7779, pp. 50–67. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-36095-4_4

    Chapter  Google Scholar 

  9. Datta, P., Okamoto, T., Takashima, K.: Efficient attribute-based signatures for unbounded arithmetic branching programs. In: Lin, D., Sako, K. (eds.) PKC 2019. LNCS, vol. 11442, pp. 127–158. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-17253-4_5

    Chapter  Google Scholar 

  10. El Kaafarani, A., Ghadafi, E., Khader, D.: Decentralized traceable attribute-based signatures. In: Benaloh, J. (ed.) CT-RSA 2014. LNCS, vol. 8366, pp. 327–348. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-04852-9_17

    Chapter  Google Scholar 

  11. El Kaafarani, A., Katsumata, S.: Attribute-based signatures for unbounded circuits in the ROM and efficient instantiations from lattices. In: PKC 2018, vol. 10770, pp. 89–119 (2018)

    Google Scholar 

  12. Escala, A., Herranz, J., Morillo, P.: Revocable attribute-based signatures with adaptive security in the standard model. In: Nitaj, A., Pointcheval, D. (eds.) AFRICACRYPT 2011. LNCS, vol. 6737, pp. 224–241. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21969-6_14

    Chapter  MATH  Google Scholar 

  13. Fiat, A., Shamir, A.: How to prove yourself: practical solutions to identification and signature problems. In: Odlyzko, A.M. (ed.) CRYPTO 1986. LNCS, vol. 263, pp. 186–194. Springer, Heidelberg (1987). https://doi.org/10.1007/3-540-47721-7_12

    Chapter  Google Scholar 

  14. Gagné, M., Narayan, S., Safavi-Naini, R.: Short pairing-efficient threshold-attribute-based signature. In: Abdalla, M., Lange, T. (eds.) Pairing 2012. LNCS, vol. 7708, pp. 295–313. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-36334-4_19

    Chapter  MATH  Google Scholar 

  15. Ghadafi, E.: Stronger security notions for decentralized traceable attribute-based signatures and more efficient constructions. In: Nyberg, K. (ed.) CT-RSA 2015. LNCS, vol. 9048, pp. 391–409. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-16715-2_21

    Chapter  Google Scholar 

  16. Gu, K., Jia, W., Wang, G., Wen, S.: Efficient and secure attribute-based signature for monotone predicates. Acta Informatica 54(5), 521–541 (2016). https://doi.org/10.1007/s00236-016-0270-5

    Article  MathSciNet  MATH  Google Scholar 

  17. Herranz, J., Laguillaumie, F., Libert, B., Ràfols, C.: Short attribute-based signatures for threshold predicates. In: Dunkelman, O. (ed.) CT-RSA 2012. LNCS, vol. 7178, pp. 51–67. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-27954-6_4

    Chapter  Google Scholar 

  18. Karchmer, M., Wigderson, A.: On span programs. In: Proceedings of the Eigth Annual Structure in Complexity Theory Conference, pp. 102–111. IEEE Computer Society (1993)

    Google Scholar 

  19. Lewko, A., Waters, B.: Decentralizing attribute-based encryption. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 568–588. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-20465-4_31

    Chapter  Google Scholar 

  20. Lewko, A.B., Waters, B.: Decentralizing attribute-based encryption. IACR Cryptol. ePrint Arch. 2010, 351 (2010). http://eprint.iacr.org/2010/351

  21. 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). https://doi.org/10.1007/978-3-642-19074-2_24

    Chapter  Google Scholar 

  22. Maji, H.K., Prabhakaran, M., Rosulek, M.: Attribute-based signatures: achieving attribute-privacy and collusion-resistance. IACR Cryptol. ePrint Arch. 2008, 328 (2008)

    Google Scholar 

  23. Okamoto, T., Takashima, K.: Decentralized attribute-based signatures. In: Kurosawa, K., Hanaoka, G. (eds.) PKC 2013. LNCS, vol. 7778, pp. 125–142. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-36362-7_9

    Chapter  Google Scholar 

  24. Okamoto, T., Takashima, K.: Efficient attribute-based signatures for non-monotone predicates in the standard model. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 35–52. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-19379-8_3

    Chapter  Google Scholar 

  25. 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). https://doi.org/10.1007/978-3-642-14623-7_11

    Chapter  Google Scholar 

  26. Okamoto, T., Takashima, K.: Efficient attribute-based signatures for non-monotone predicates in the standard model. IEEE Trans. Cloud Comput. 2(4), 409–421 (2014)

    Article  Google Scholar 

  27. Okamoto, T., Takashima, K.: Decentralized attribute-based encryption and signatures. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 103-A(1), 41–73 (2020)

    Google Scholar 

  28. Sakai, Y., Attrapadung, N., Hanaoka, G.: Attribute-based signatures for circuits from bilinear map. In: Cheng, C.-M., Chung, K.-M., Persiano, G., Yang, B.-Y. (eds.) PKC 2016. LNCS, vol. 9614, pp. 283–300. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-49384-7_11

    Chapter  Google Scholar 

  29. Sakai, Y., Attrapadung, N., Hanaoka, G.: Practical attribute-based signature schemes for circuits from bilinear map. IET Inf. Secur. 12(3), 184–193 (2018)

    Article  Google Scholar 

  30. Sakai, Y., Katsumata, S., Attrapadung, N., Hanaoka, G.: Attribute-based signatures for unbounded languages from standard assumptions. In: Peyrin, T., Galbraith, S. (eds.) ASIACRYPT 2018. LNCS, vol. 11273, pp. 493–522. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03329-3_17

    Chapter  Google Scholar 

  31. Sun, S.-F., Au, M.H., Liu, J.K., Yuen, T.H.: RingCT 2.0: a compact accumulator-based (linkable ring signature) protocol for blockchain cryptocurrency Monero. In: Foley, S.N., Gollmann, D., Snekkenes, E. (eds.) ESORICS 2017. LNCS, vol. 10493, pp. 456–474. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66399-9_25

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zhang, J., Chen, J., Meng, W. (2021). Efficient Attribute-Based Signature for Monotone Predicates. In: Huang, Q., Yu, Y. (eds) Provable and Practical Security. ProvSec 2021. Lecture Notes in Computer Science(), vol 13059. Springer, Cham. https://doi.org/10.1007/978-3-030-90402-9_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-90402-9_19

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-90401-2

  • Online ISBN: 978-3-030-90402-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics