Skip to main content

On the Security of a Group Signature Scheme with Forward Security

  • Conference paper
Information Security and Cryptology - ICISC 2003 (ICISC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2971))

Included in the following conference series:

Abstract

A group signature scheme allows a group member of a given group to sign messages on behalf of the group in an anonymous and unlinkable way. In case of a dispute, however, a designated group manager can reveal the signer of a valid group signature. Based on Song’s forward-secure group signature schemes, Zhang, Wu, and Wang proposed a new group signature scheme with forward security at ICICS 2003. Their scheme is very efficient on both communication and computation aspects. Unfortunately, their scheme is insecure. In this paper we present a security analysis to show that their scheme is linkable, untraceable, and forgeable.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, R.: Invited Lecture, 4th ACM Computer and Communications Security (1997)

    Google Scholar 

  2. Ateniese, G., Tsudik, G.: Some open issues and new directions in group signature schemes. In: Franklin, M.K. (ed.) FC 1999. LNCS, vol. 1648, pp. 196–211. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  3. Ateniese, G., Camenisch, J., Joye, M., Tsudik, G.: A practical and provably secure coalition-resistant group signature scheme. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 255–270. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  4. Ateniese, G., Song, D., Tsudik, G.: Quasi-efficient revocation of group signatures. In: Blaze, M. (ed.) FC 2002. LNCS, vol. 2357, Springer, Heidelberg (2003); Primary version available at http://eprint.iacr.org/2001/101/

    Chapter  Google Scholar 

  5. Ateniese, G., de Medeiros, B.: Efficient group signatures without trapdoors. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 246–268. Springer, Heidelberg (2003); Primary version available at http://eprint.iacr.org/2002/173/

    Chapter  Google Scholar 

  6. Bellare, M., Miner, S.: A forward-secure digital signature scheme. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 431–448. Springer, Heidelberg (1999)

    Google Scholar 

  7. Bellare, M., Micciancio, D., Warinschi, B.: Foundations of group signatures: formal definitions, simplified requirements, and a construction based on general assumptions. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 614–629. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  8. Bresson, E., Stern, J.: Efficient revocation in group signatures. In: Kim, K.-c. (ed.) PKC 2001. LNCS, vol. 1992, pp. 190–206. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  9. Camenisch, J., Stadler, M.: Effient group signature schemes for large groups. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 410–424. Springer, Heidelberg (1997)

    Google Scholar 

  10. Camenisch, J., Michels, M.: A group signature scheme with improved efficiency. In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol. 1514, pp. 160–174. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  11. Camenisch, J., Michels, M.: A group signature scheme based on an RSA-variant. Technical Report RS-98-27, BRICS, University of Aarhus (November 1998); An earlier version appears in [10]

    Google Scholar 

  12. Camenisch, J., Lysyanskaya, A.: Dynamic accumulators and application to efficient revocation of anonymous credentials. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 61–76. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  13. Canard, S., Traoré, J.: On fair e-cash systems based on group signature schemes. In: Safavi-Naini, R., Seberry, J. (eds.) ACISP 2003. LNCS, vol. 2727, pp. 237–248. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

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

    Google Scholar 

  15. Chen, L., Pedersen, T.P.: New group signature schemes. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 171–181. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  16. Fujisaki, E., Okamoto, T.: Statistical zero-knowledge protocols to prove modular polynomial relations. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 16–30. Springer, Heidelberg (1997)

    Google Scholar 

  17. Itkis, G., Reyzin, L.: Forward-secure signatures with optimal signing and verifying. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 332–354. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  18. Kiayias, A., Yung, M.: Extracting group signatures from traitor tracing schemes. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 630–648. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  19. Kim, H.J., Lim, J.I., Lee, D.H.: Efficient and secure member deletion in group signature schemes. In: Won, D. (ed.) ICISC 2000. LNCS, vol. 2015, pp. 150–161. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  20. Lysyanskaya, A., Ramzan, Z.: Group blind digital signatures: A scalable solution to electronic cash. In: Hirschfeld, R. (ed.) FC 1998. LNCS, vol. 1465, pp. 184–197. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  21. Maitland, G., Boyd, C.: Fair electronic cash based on a group signature scheme. In: Qing, S., Okamoto, T., Zhou, J. (eds.) ICICS 2001. LNCS, vol. 2229, pp. 461–465. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  22. Petersen, H.: How to convert any digital signature scheme into a group signature scheme. In: Christianson, B., Lomas, M. (eds.) Security Protocols 1997. LNCS, vol. 1361, pp. 177–190. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  23. Sakurai, K., Miyazaki, S.: An anonymous electronic bidding protocol based on a new convertible group signature scheme. In: Clark, A., Boyd, C., Dawson, E.P. (eds.) ACISP 2000. LNCS, vol. 1841, pp. 385–399. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  24. Song, D.X.: Practical forward secure group signature schemes. In: Proceedings of the 8th ACM Conference on Computer and Communications Security (CCS 2001), pp. 225–234. ACM press, New York (2001)

    Chapter  Google Scholar 

  25. Tenenbaum, G.: Introduction to Analytic and Probabilistic Number Theory (Theorem 5, page 41). Cambridge studies in advanced mathematics, vol. 46. Cambridge University Press, Cambridge (1995)

    Google Scholar 

  26. Tsudik, G., Xu, S.: Accumulating composites and improved group signing. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 269–286. Springer, Heidelberg (2003); Primary version available at http://eprint.iacr.org/2003/112/

    Chapter  Google Scholar 

  27. Wang, G.: Bibliography on group signatures, http://www.i2r.a-star.edu.sg/icsd/staff/guilin/bible/group-sign.htm

  28. Zhang, J., Wu, Q., Wang, Y.: A novel efficient group signature scheme with forward security. In: Qing, S., Gollmann, D., Zhou, J. (eds.) ICICS 2003. LNCS, vol. 2836, pp. 292–300. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  29. Relatively Prime, http://mathworld.wolfram.com/RelativelyPrime.html

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, G. (2004). On the Security of a Group Signature Scheme with Forward Security. In: Lim, JI., Lee, DH. (eds) Information Security and Cryptology - ICISC 2003. ICISC 2003. Lecture Notes in Computer Science, vol 2971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24691-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24691-6_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21376-5

  • Online ISBN: 978-3-540-24691-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics