Abstract
Group signatures, which allow users of a group to anonymously produce signatures on behalf of the group, are an important cryptographic primitive for privacy-enhancing applications. Over the years, various approaches to enhanced anonymity management mechanisms, which extend the standard feature of opening of group signatures, have been proposed.
In this paper we show how pairing-based group signature schemes (PB-GSSs) based on the sign-and-encrypt-and-prove (SEP) paradigm can be generically transformed in order to support one particular enhanced anonymity management mechanism, i.e., we propose a transformation that turns every such PB-GSS into a PB-GSS with controllable linkability. Basically, this transformation replaces the public key encryption scheme used for identity escrow within a group signature scheme with a modified all-or-nothing public key encryption with equality tests scheme (denoted AoN-PKEET*) instantiated from the respective public key encryption scheme. Thereby, the respective trapdoor is given to the linking authority as a linking key. The appealing benefit of this approach in contrast to other anonymity management mechanisms (such as those provided by traceable signatures) is that controllable linkability can be added to PB-GSSs based on the SEP paradigm for free, i.e., it neither influences the signature size nor the computational costs for signers and verifiers in comparison to the scheme without this feature.
The full version of this extended abstract including more details as well as all formal models, definitions and proofs is available as Cryptology ePrint Archive Report 2014/607 [24].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Abe, M., Chow, S.S.M., Haralambiev, K., Ohkubo, M.: Double-Trapdoor Anonymous Tags for Traceable Signatures. In: Lopez, J., Tsudik, G. (eds.) ACNS 2011. LNCS, vol. 6715, pp. 183–200. Springer, Heidelberg (2011)
Ateniese, G., Tsudik, G.: Some Open Issues and New Directions in Group Signatures. In: Franklin, M.K. (ed.) FC 1999. LNCS, vol. 1648, pp. 196–211. Springer, Heidelberg (1999)
Au, M.H., Susilo, W., Mu, Y.: Constant-Size Dynamic k-TAA. In: De Prisco, R., Yung, M. (eds.) SCN 2006. LNCS, vol. 4116, pp. 111–125. Springer, Heidelberg (2006)
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)
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)
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)
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)
Boneh, D., Boyen, X., Shacham, H.: Short Group Signatures. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 41–55. Springer, Heidelberg (2004)
Boneh, D., Shacham, H.: Group Signatures with Verifier-Local Revocation. In: ACM CCS, pp. 168–177 (2004)
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)
Camenisch, J., Stadler, M.A.: Efficient Group Signature Schemes for Large Groups. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 410–424. Springer, Heidelberg (1997)
Chaum, D., van Heyst, E.: Group Signatures. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 257–265. Springer, Heidelberg (1991)
Chow, S.S.M.: Real Traceable Signatures. In: Jacobson Jr., M.J., Rijmen, V., Safavi-Naini, R. (eds.) SAC 2009. LNCS, vol. 5867, pp. 92–107. Springer, Heidelberg (2009)
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)
Dodis, Y., Yampolskiy, A.: A Verifiable Random Function with Short Proofs and Keys. In: Vaudenay, S. (ed.) PKC 2005. LNCS, vol. 3386, pp. 416–431. Springer, Heidelberg (2005)
Emura, K., Hanaoka, G., Sakai, Y., Schuldt, J.C.N.: Group signature implies public-key encryption with non-interactive opening. Int. J. Inf. Sec. 13(1), 51–62 (2014)
Hwang, J.Y., Lee, S., Chung, B.-H., Cho, H.S., Nyang, D.: Short Group Signatures with Controllable Linkability. In: LightSec, pp. 44–52 (2011)
Hwang, J.Y., Lee, S., Chung, B.-H., Cho, H.S., Nyang, D.: Group signatures with controllable linkability for dynamic membership. Inf. Sci. 222, 761–778 (2013)
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)
Nakanishi, T., Fujii, H., Hira, Y., Funabiki, N.: Revocable Group Signature Schemes with Constant Costs for Signing and Verifying. In: Jarecki, S., Tsudik, G. (eds.) PKC 2009. LNCS, vol. 5443, pp. 463–480. Springer, Heidelberg (2009)
Nakanishi, T., Fujiwara, T., Watanabe, H.: A Linkable Group Signature and Its Application to Secret Voting. Trans. of Information Processing Society of Japan 40(7) (1999)
Sakai, Y., Emura, K., Hanaoka, G., Kawai, Y., Matsuda, T., Omote, K.: Group Signatures with Message-Dependent Opening. In: Abdalla, M., Lange, T. (eds.) Pairing 2012. LNCS, vol. 7708, pp. 270–294. Springer, Heidelberg (2013)
Sakai, Y., Schuldt, J.C.N., Emura, K., Hanaoka, G., Ohta, K.: On the Security of Dynamic Group Signatures: Preventing Signature Hijacking. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol. 7293, pp. 715–732. Springer, Heidelberg (2012)
Slamanig, D., Spreitzer, R., Unterluggauer, T.: Adding Controllable Linkability to Pairing-Based Group Signatures for Free. IACR Cryptology ePrint Archive, 2014:607 (2014)
Tang, Q.: Public key encryption supporting plaintext equality test and user-specified authorization. Security and Communication Networks 5(12), 1351–1362 (2012)
Teranishi, I., Furukawa, J., Sako, K.: k-Times Anonymous Authentication (Extended abstract). In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 308–322. Springer, Heidelberg (2004)
Wei, V.K.: Tracing-by-Linking Group Signatures. In: Zhou, J., López, J., Deng, R.H., Bao, F. (eds.) ISC 2005. LNCS, vol. 3650, pp. 149–163. Springer, Heidelberg (2005)
Yang, G., Tan, C.H., Huang, Q., Wong, D.S.: Probabilistic Public Key Encryption with Equality Test. In: Pieprzyk, J. (ed.) CT-RSA 2010. LNCS, vol. 5985, pp. 119–131. Springer, Heidelberg (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Slamanig, D., Spreitzer, R., Unterluggauer, T. (2014). Adding Controllable Linkability to Pairing-Based Group Signatures for Free. In: Chow, S.S.M., Camenisch, J., Hui, L.C.K., Yiu, S.M. (eds) Information Security. ISC 2014. Lecture Notes in Computer Science, vol 8783. Springer, Cham. https://doi.org/10.1007/978-3-319-13257-0_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-13257-0_23
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13256-3
Online ISBN: 978-3-319-13257-0
eBook Packages: Computer ScienceComputer Science (R0)