Skip to main content

An Efficient Construction of Time-Selective Convertible Undeniable Signatures

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7001))

Abstract

A time-selective convertible undeniable signature scheme allows a signer to release a time-selective converter which converts undeniable signatures pertaining to or up to a specific time period to publicly verifiable ones but not those in any other time periods. The security of existing schemes relies on a strong and interactive assumption called xyz-DCAA in random oracle model or several relatively new hash function assumptions in the generic group model. For some of them, the converter size for each time period also grows linearly or logarithmically with the number of previous time periods. In this paper, we propose a new construction in which all the converters (i.e. time-selective, selective and universal) are of constant size. In particular, the time-selective converter for each time period is only one group element, no matter how many previous time periods there are already. The security of this new construction is proved in the random oracle model based on non-interactive and falsifiable assumptions.

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. El Aimani, L., Vergnaud, D.: Gradually convertible undeniable signatures. In: Katz, J., Yung, M. (eds.) ACNS 2007. LNCS, vol. 4521, pp. 478–496. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  2. Bellare, M., Rogaway, P.: Random oracles are practical: A paradigm for designing efficient protocols. In: CCS, pp. 62–73. ACM, New York (1993)

    Google Scholar 

  3. Boneh, D., Boyen, X.: Short signatures without random oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 56–73. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. Boyar, J., Chaum, D., Damgård, I., Pederson, T.P.: Convertible undeniable signatures. In: Menezes, A., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 189–205. Springer, Heidelberg (1991)

    Google Scholar 

  5. Chaum, D.: Designated confirmer signatures. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 86–91. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  6. Chaum, D., van Antwerpen, H.: Undeniable signatures. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 212–216. Springer, Heidelberg (1990)

    Google Scholar 

  7. Damgård, I., Pedersen, T.: New convertible undeniable signature schemes. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 372–386. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  8. Galbraith, S.D., Mao, W.: Invisibility and anonymity of undeniable and confirmer signatures. In: Joye, M. (ed.) CT-RSA 2003. LNCS, vol. 2612, pp. 80–97. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  9. Gennaro, R., Krawczyk, H., Rabin, T.: RSA-based undeniable signatures. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 132–149. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  10. Gentry, C., Molnar, D., Ramzan, Z.: Efficient designated confirmer signatures without random oracles or general zero-knowledge proofs (extended abstract). In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 662–681. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  11. Huang, Q., Wong, D.S.: Short convertible undeniable signature in the standard model. In: Bao, F., Weng, J. (eds.) ISPEC 2011. LNCS, vol. 6672, pp. 257–272. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  12. Kurosawa, K., Takagi, T.: New approach for selectively convertible undeniable signature schemes. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 428–443. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. Laguillaumie, F., Vergnaud, D.: Time-selective convertible undeniable signatures. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 154–171. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Laguillaumie, F., Vergnaud, D.: Time-selective convertible undeniable signatures with short conversion receipts. Information Sciences 180(12), 2458–2475 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Michels, M., Petersen, H., Horster, P.: Breaking and repairing a convertible undeniable signature scheme. In: CCS, pp. 148–152. ACM, New York (1996)

    Google Scholar 

  16. Michels, M., Stadler, M.: Efficient convertible undeniable signature schemes. In: SAC 1997, pp. 231–244 (1997)

    Google Scholar 

  17. Naor, M.: On cryptographic assumptions and challenges. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 96–109. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  18. Okamoto, T.: Designated confirmer signatures and public-key encryption are equivalent. In: Desmedt, Y.G. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 61–74. Springer, Heidelberg (1994)

    Google Scholar 

  19. Phong, L.T., Kurosawa, K., Ogata, W.: New RSA-based (selectively) convertible undeniable signature schemes. In: Preneel, B. (ed.) AFRICACRYPT 2009. LNCS, vol. 5580, pp. 116–134. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  20. Phong, L.T., Kurosawa, K., Ogata, W.: Provably secure convertible undeniable signatures with unambiguity. In: Garay, J.A., De Prisco, R. (eds.) SCN 2010. LNCS, vol. 6280, pp. 291–308. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  21. Huang, Q., Wong, D.S., Susilo, W.: A new construction of designated confirmer signature and its application to optimistic fair exchange. In: Joye, M., Miyaji, A., Otsuka, A. (eds.) Pairing 2010. LNCS, vol. 6487, pp. 41–61. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  22. Schuldt, J.C.N., Matsuura, K.: An efficient convertible undeniable signature scheme with delegatable verification. In: Kwak, J., Deng, R.H., Won, Y., Wang, G. (eds.) ISPEC 2010. LNCS, vol. 6047, pp. 276–293. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  23. Shoup, V.: Lower bounds for discrete logarithms and related problems. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 256–266. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  24. Zhang, F., Safavi-Naini, R., Susilo, W.: An efficient signature scheme from bilinear pairings and its applications. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol. 2947, pp. 277–290. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Huang, Q., Wong, D.S., Susilo, W., Yang, B. (2011). An Efficient Construction of Time-Selective Convertible Undeniable Signatures. In: Lai, X., Zhou, J., Li, H. (eds) Information Security. ISC 2011. Lecture Notes in Computer Science, vol 7001. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24861-0_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24861-0_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24860-3

  • Online ISBN: 978-3-642-24861-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics