Skip to main content

Two-in-One Oblivious Signatures Secure in the Random Oracle Model

  • Conference paper
  • First Online:
Network and System Security (NSS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9955))

Included in the following conference series:

Abstract

An oblivious signature is a kind of digital signature providing privacy protection for the signature requester. According to the pioneer work introduced by Chen in 1994, it is defined in two different types; an oblivious signature with n messages and, an oblivious signature with n keys. In an oblivious signature with n messages, it allows a signature requester to get a signature on 1-out-of-n messages while during the signing process, the signer cannot find out which one of the n messages has been signed. In an oblivious signature with n keys, it allows a signature requester to get a signature signed by 1-out-of-n signers while during the signing process, no one except the requester can know who has really signed the message. In 2008, Tso et al. gave formal definitions on the models of oblivious signatures and gave an example on the construction of oblivious signatures based on the Schnorr signature. In this paper, we follow Tso et al.’s work but combine the two functionalities into one scheme. We called it Two-in-one oblivious signature. In out scheme, a signature requester can ask 1-out-of-\(n_1\) signers to sign 1-out-of-\(n_2\) messages. At the end of our protocol, no one (including the \(n_1\) possible-signers) knows who has really signed the message as well as which one of the \(n_2\) message has been signed. The scheme is useful in many applications such as e-cash, e-voting and e-auction etc. We will give a formal model on our scheme and give a rigorous security proof based on the random oracle model.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and 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

Institutional subscriptions

References

  1. Birman, K., Jelasity, M., Kleinberg, R., Tremel, E.: Building a secure and privacy-preserving smart grid. ACM SIGOPS Oper. Syst. Rev. 49(1), 131–136 (2015)

    Article  Google Scholar 

  2. Baldimtsi, F., Lysyanskaya, A.: On the security of one-witness blind signature schemes. In: Sako, K., Sarkar, P. (eds.) ASIACRYPT 2013, Part II. LNCS, vol. 8270, pp. 82–99. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  3. Boneh, D., Lynn, B., Shacham, H.: Short signatures from the Weil pairing. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514–532. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  4. Chaum, D.: Blind signatures for untraceable payments. Advances in Cryptology -CRYPTO 1982, pp. 199–203. Springer, Heidelberg (1983)

    Google Scholar 

  5. Chen, L.: Oblivious signatures. In: Gollmann, D. (ed.) ESORICS 1994. LNCS, vol. 875, pp. 161–172. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  6. Chaum, D., van Heyst, E.: Group signatures. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 257–265. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  7. Diao, F., Zhang, F., Cheng, X.: A privacy-preserving smart metering scheme using linkable anonymous credential. IEEE Trans. Smart Grid 6(1), 461–467 (2015)

    Article  Google Scholar 

  8. Fiat, A., Shamir, A.: How to prove yourself: a randomized protocol for signing contracts. In: Odlyzko, A.M. (ed.) CRYPTO 1986. LNCS, vol. 263, pp. 186–194. Springer, Heidelberg (1987)

    Google Scholar 

  9. Goldwasser, S., Micali, S., Rivest, R.: A digital signature scheme secure against adaptively chosen message attacks. SIAM J. Comput. 17(2), 281–308 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kaliski, Jr. B.S.: Privacy preserving data querying. U.S. Patent No. 20,160,085,987. 24. March 2016

    Google Scholar 

  11. Laguillaumie, F., Langlois, A., Libert, B., Stehlé, D.: Lattice-based group signatures with logarithmic signature size. In: Sako, K., Sarkar, P. (eds.) ASIACRYPT 2013, Part II. LNCS, vol. 8270, pp. 41–61. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  12. Pasupuleti, S., Ramalingam, S., Buyya, R.: An efficient and secure privacy-preserving approach for outsourced data of resource constrained mobile devices in cloud computing. J. Netw. Comput. Appl. 64, 12–22 (2016)

    Article  Google Scholar 

  13. Pointcheval, D., Stern, J.: Security arguments for digital signatures and blind signatures. J. Cryptol. 13(3), 361–396 (2000)

    Article  MATH  Google Scholar 

  14. Rial, A., Danezis, G.: Privacy-preserving smart metering. In: Proceedings of the \(10\)th Annual ACM Workshop on Privacy in the Electronic Society, pp. 49–60 (2011)

    Google Scholar 

  15. Rivest, R.L., Shamir, A., Tauman, Y.: How to leak a secret. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 552–565. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  16. Schnorr, C.P.: Efficient signature generation by smart cards. J. Cryptol. 4(3), 161–174 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  17. Song, C., Yin, X., Liu, Y.: A practical electronic voting protocol based upon oblivious signature scheme, In: Proceedings of 2008 International Conference on Computational Intelligence and Security, pp. 381–384. IEEE (2008)

    Google Scholar 

  18. Tso, R., Okamoto, T., Okamoto, E.: 1-out-of-n oblivious signatures. In: Chen, L., Mu, Y., Susilo, W. (eds.) ISPEC 2008. LNCS, vol. 4991, pp. 45–55. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  19. Tso, R.: A new way to generate a ring: universal ring signature. Comput. Math. Appl. 65(9), 1350–1359 (2013)

    Article  MathSciNet  Google Scholar 

  20. Wang, J., Sun, B.: Ring signature schemes from lattice basis delegation. In: Qing, S., Susilo, W., Wang, G., Liu, D. (eds.) ICICS 2011. LNCS, vol. 7043, pp. 15–28. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  21. Wang, H., Wu, Q., Qin, B., Zhang, F., Domingo-Ferrer, J.: A provably secure ring signature scheme with bounded leakage resilience. In: Huang, X., Zhou, J. (eds.) ISPEC 2014. LNCS, vol. 8434, pp. 388–402. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  22. Yi, X., Rao, F.Y., Bertino, E., Bouguettaya, A.: Privacy-preserving association rule mining in cloud computing. In: Proceedings of the 10th ACM Symposium on Information, Computer and Communications Security, pp. 439–450 (2015)

    Google Scholar 

  23. Yang, J.J., Li, J.Q., Niu, Y.: A hybrid solution for privacy preserving medical data sharing in the cloud environment. Future Gen. Comput. Syst. 43, 74–86 (2015)

    Article  Google Scholar 

  24. Zhou, J., Lin, X., Dong, X., Cao, Z.: PSMPA: patient self-controllable and multi-level privacy-preserving cooperative authentication in distributed m-Healthcare cloud computing system. IEEE Trans. Parallel Distrib. Syst. 26(6), 1693–1703 (2015)

    Article  Google Scholar 

  25. Zhou, J., Cao, Z., Dong, X., Xiong, N., Vasilakos, A.V.: 4S: a secure and privacy-preserving key management scheme for cloud-assisted wireless body area network in m-healthcare social networks. Inf. Sci. 314, 255–276 (2015)

    Article  Google Scholar 

Download references

Acknowledgement

This research was supported by the Ministry of Science of Technology, Taiwan, under the grants MOST 105-2221-E-004-001-MY3, MOST 104-2218-E-001-002 and by Taiwan Information Security Center (TWISC), Academia Sinica.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Raylin Tso .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Tso, R. (2016). Two-in-One Oblivious Signatures Secure in the Random Oracle Model. In: Chen, J., Piuri, V., Su, C., Yung, M. (eds) Network and System Security. NSS 2016. Lecture Notes in Computer Science(), vol 9955. Springer, Cham. https://doi.org/10.1007/978-3-319-46298-1_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46298-1_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46297-4

  • Online ISBN: 978-3-319-46298-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics