On the Security of Dynamic Group Signatures: Preventing Signature Hijacking

  • Yusuke Sakai
  • Jacob C. N. Schuldt
  • Keita Emura
  • Goichiro Hanaoka
  • Kazuo Ohta
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7293)

Abstract

We identify a potential weakness in the standard security model for dynamic group signatures which appears to have been overlooked previously. More specifically, we highlight that even if a scheme provably meets the security requirements of the model, a malicious group member can potentially claim ownership of a group signature produced by an honest group member by forging a proof of ownership. This property leads to a number of vulnerabilities in scenarios in which dynamic group signatures are likely to be used. We furthermore show that the currently most efficient dynamic group signature scheme does not provide protection against this type of malicious behavior.

To address this, we introduce the notion of opening soundness for group signatures which essentially requires that it is infeasible to produce a proof of ownership of a valid group signature for any user except the original signer. We then show a relatively simple modification of the scheme by Groth (ASIACRYPT 2007, full version) which allows us to prove opening soundness for the modified scheme without introducing any additional assumptions.

We believe that opening soundness is an important and natural security requirement for group signatures, and hope that future schemes will adopt this type of security.

Keywords

Group Signature Opening Soundness Signature Scheme Random Oracle Security Notion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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.
    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)CrossRefGoogle Scholar
  3. 3.
    Bellare, M., Shi, H., Zhang, C.: Foundations of Group Signatures: The Case of Dynamic Groups. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 136–153. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  4. 4.
    Bichsel, P., Camenisch, J., Neven, G., Smart, N.P., Warinschi, B.: Get Shorty via Group Signatures without Encryption. In: Garay, J.A., De Prisco, R. (eds.) SCN 2010. LNCS, vol. 6280, pp. 381–398. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  5. 5.
    Blum, M., De Santis, A., Micali, S., Persiano, G.: Noninteractive zero-knowledge. SIAM J. Comput. 20(6), 1084–1118 (1991)MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Boneh, D., Boyen, X., Shacham, H.: Short Group Signatures. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 41–55. Springer, Heidelberg (2004)Google Scholar
  7. 7.
    Boyen, X., Waters, B.: Compact Group Signatures Without Random Oracles. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 427–444. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  8. 8.
    Boyen, X., Waters, B.: Full-Domain Subgroup Hiding and Constant-Size Group Signatures. In: Okamoto, T., Wang, X. (eds.) PKC 2007. LNCS, vol. 4450, pp. 1–15. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  9. 9.
    Camenisch, J., Lysyanskaya, A.: Signature Schemes and Anonymous Credentials from Bilinear Maps. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 56–72. Springer, Heidelberg (2004)Google Scholar
  10. 10.
    Camenisch, J., Michels, M.: A Group Signature Scheme with Improved Efficiency (Extended Abstract). In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol. 1514, pp. 160–174. Springer, Heidelberg (1998)CrossRefGoogle Scholar
  11. 11.
    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
  12. 12.
    Delerablée, C., Pointcheval, D.: Dynamic Fully Anonymous Short Group Signatures. In: Nguyên, P.Q. (ed.) VIETCRYPT 2006. LNCS, vol. 4341, pp. 193–210. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  13. 13.
    Feige, U., Lapidot, D., Shamir, A.: Multiple non-interactive zero knowledge proofs based on a single random string. In: 31st Annual Symposium on Foundations of Computer Science, pp. 308–317. IEEE Computer Society (1990)Google Scholar
  14. 14.
    Furukawa, J., Imai, H.: An Efficient Group Signature Scheme from Bilinear Maps. In: Boyd, C., González Nieto, J.M. (eds.) ACISP 2005. LNCS, vol. 3574, pp. 455–467. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  15. 15.
    Galindo, D., Libert, B., Fischlin, M., Fuchsbauer, G., Lehmann, A., Manulis, M., Schröder, D.: Public-Key Encryption with Non-Interactive Opening: New Constructions and Stronger Definitions. In: Bernstein, D.J., Lange, T. (eds.) AFRICACRYPT 2010. LNCS, vol. 6055, pp. 333–350. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  16. 16.
    Goldwasser, S., Micali, S., Rivest, R.L.: A digital signature scheme secure against adaptive chosen-message attacks. SIAM J. Comput. 17(2), 281–308 (1988)MathSciNetMATHCrossRefGoogle Scholar
  17. 17.
    Groth, J.: Simulation-Sound NIZK Proofs for a Practical Language and Constant Size Group Signatures. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 444–459. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  18. 18.
    Groth, J.: Fully Anonymous Group Signatures Without Random Oracles. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 164–180. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  19. 19.
    Groth, J.: Fully anonymous group signatures without random oracles, May 17 (2010) (manuscript), http://www.cs.ucl.ac.uk/staff/J.Groth/CertiSignFull.pdf
  20. 20.
    Groth, J., Sahai, A.: Efficient Non-interactive Proof Systems for Bilinear Groups. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 415–432. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  21. 21.
    Kiayias, A., Tsiounis, Y., Yung, M.: Traceable Signatures. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 571–589. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  22. 22.
    Kiayias, A., Yung, M.: Group Signatures with Efficient Concurrent Join. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 198–214. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  23. 23.
    Kilian, J., Petrank, E.: Identity Escrow. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 169–185. Springer, Heidelberg (1998)Google Scholar
  24. 24.
    Kiltz, E.: Chosen-Ciphertext Security from Tag-Based Encryption. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, vol. 3876, pp. 581–600. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  25. 25.
    Rackoff, C., Simon, D.R.: Non-interactive Zero-Knowledge Proof of Knowledge and Chosen Ciphertext Attack. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 433–444. Springer, Heidelberg (1992)Google Scholar
  26. 26.
    Sahai, A.: Non-malleable non-interactive zero knowledge and adaptive chosen-ciphertext security. In: 40th Annual Symposium on Foundations of Computer Science, pp. 543–553. IEEE Computer Society (1999)Google Scholar
  27. 27.
    Zhou, S., Lin, D.: Shorter Verifier-Local Revocation Group Signatures from Bilinear Maps. In: Pointcheval, D., Mu, Y., Chen, K. (eds.) CANS 2006. LNCS, vol. 4301, pp. 126–143. Springer, Heidelberg (2006)CrossRefGoogle Scholar

Copyright information

© International Association for Cryptologic Research 2012

Authors and Affiliations

  • Yusuke Sakai
    • 1
  • Jacob C. N. Schuldt
    • 2
  • Keita Emura
    • 3
  • Goichiro Hanaoka
    • 2
  • Kazuo Ohta
    • 1
  1. 1.The University of Electro-CommunicationsJapan
  2. 2.National Institute of Advanced Industrial Science and TechnologyJapan
  3. 3.National Institute of Information and Communications TechnologyJapan

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