Advertisement

Accumulators from Bilinear Pairings and Applications

  • Lan Nguyen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3376)

Abstract

We propose a dynamic accumulator scheme from bilinear pairings and use it to construct an identity-based (ID-based) ring signature scheme with constant-size signatures and to provide membership revocation to group signature schemes, identity escrow schemes and anonymous credential systems. The ID-based ring signature scheme and the group signature scheme have very short signature sizes. The size of our group signatures with membership revocation is only half the size of those in the well-known ACJT00 scheme, which does not provide membership revocation. The schemes do not require trapdoor, so system parameters can be shared by multiple groups belonging to different organizations. All schemes are provably secure in formal models. We generalize the definition of accumulators and provide formal models for ID-based ad-hoc anonymous identification schemes and identity escrow schemes with membership revocation.

Keywords

Dynamic accumulators ID-based ring signatures group signatures identity escrow membership revocation privacy anonymity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    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)CrossRefGoogle Scholar
  2. 2.
    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)CrossRefGoogle Scholar
  3. 3.
    Baric, N., Pfitzmann, B.: Collision-free accumulators and fail-stop signature schemes without trees. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 480–494. Springer, Heidelberg (1997)Google Scholar
  4. 4.
    Bellare, M., Shi, H., Zhang, C.: Foundations of Group Signatures: The Case of Dynamic Groups. Cryptology ePrint Archive: Report 2004/077Google Scholar
  5. 5.
    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)Google Scholar
  6. 6.
    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)CrossRefGoogle Scholar
  7. 7.
    Boneh, D., Boyen, X.: Efficient Selective-ID Secure Identity-Based Encryption Without Random Oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 223–238. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  8. 8.
    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)CrossRefGoogle Scholar
  9. 9.
    Bresson, E., Stern, J., Szydlo, M.: Threshold ring signatures and applications to ad-hoc groups. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 465–480. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  10. 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)CrossRefGoogle Scholar
  11. 11.
    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)CrossRefGoogle Scholar
  12. 12.
    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
  13. 13.
    Dodis, Y., Kiayias, A., Nicolosi, A., Shoup, V.: Anonymous Identification in Ad Hoc Groups. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 609–626. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  14. 14.
    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)Google Scholar
  15. 15.
    Killian, J., Petrank, E.: Identity escrow. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 169–185. Springer, Heidelberg (1998)Google Scholar
  16. 16.
    Mitsunari, S., Sakai, R., Kasahara, M.: A new traitor tracing. IEICE Trans. E85-A(2), 481–484 (2002)Google Scholar
  17. 17.
    Nguyen, L.: Accumulators from Bilinear Pairings and Applications. Full versionGoogle Scholar
  18. 18.
    Nguyen, L., Safavi-Naini, R.: Efficient and Provably Secure Trapdoor-free Grou Signature Schemes from Bilinear Pairings. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 372–386. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  19. 19.
    Rivest, R., Shamir, A., Tauman, Y.: How to leak a secret. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 552–565. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  20. 20.
    Shamir, A.: Identity-based cryptosystems and signature schemes. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47–53. Springer, Heidelberg (1985)CrossRefGoogle Scholar
  21. 21.
    To, V., Safavi-Naini, R., Zhang, F.: New traitor tracing schemes using bilinear map. In: DRM Workshop 2003 (2003)Google Scholar
  22. 22.
    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)CrossRefGoogle Scholar
  23. 23.
    Zhang, F., Kim, K.: ID-Based Blind Signature and Ring Signature from Pairings. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 533–547. Springer, Heidelberg (2002)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Lan Nguyen
    • 1
  1. 1.Centre for Information SecurityUniversity of WollongongWollongongAustralia

Personalised recommendations