Abstract
In a group signature scheme, group members are able to sign on behalf of the group. Since the introduction of this cryptographic authentication mechanism, several schemes have been proposed but only few of them enjoy a security in the standard model. Moreover, those provided in the standard model suffer the recourse to non standard-assumptions, or the expensive cost and bandwidth of the resulting signature.
We provide three practical group signature schemes that are provably secure in the standard model under standard assumptions. The three schemes permit dynamic enrollment of new members while keeping a constant size for both keys and group signatures, and they improve the state-of-the art by several orders of magnitude.
This is an extended abstract. The full version [14] is available at the Cryptology ePrint Archive.
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., Fuchsbauer, G., Groth, J., Haralambiev, K., Ohkubo, M.: Structure-preserving signatures and commitments to group elements. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 209–236. Springer, Heidelberg (2010)
Ateniese, G., Camenisch, J., Hohenberger, S., de Medeiros, B.: Practical group signatures without random oracles. IACR Cryptology ePrint Archive, 2005:385 (2005)
Bellare, M., Boldyreva, A., Palacio, A.: An uninstantiable random-oracle-model scheme for a hybrid-encryption problem. In: Cachin, C., Camenisch, J. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 171–188. Springer, Heidelberg (2004)
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., Shacham, H.: Group signatures with verifier-local revocation. In: Atluri, V., Pfitzmann, B., McDaniel, P.D. (eds.) ACM Conference on Computer and Communications Security, pp. 168–177. ACM (2004)
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)
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)
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)
Canetti, R., Goldreich, O., Halevi, S.: The random oracle methodology, revisited (preliminary version). In: Vitter, J.S. (ed.) STOC, pp. 209–218. ACM (1998)
Chaum, D.: Some weaknesses of “Weaknesses of undeniable signatures”. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 554–556. Springer, Heidelberg (1991)
Delerablée, C., Pointcheval, D.: Dynamic fully anonymous short group signatures. In: Nguyen, P.Q. (ed.) VIETCRYPT 2006. LNCS, vol. 4341, pp. 193–210. Springer, Heidelberg (2006)
El Aimani, L., Sanders, O.: Efficient Group Signatures in the Standard Model. Cryptology ePrint Archive (2012)
Groth, J.: Fully anonymous group signatures without random oracles. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 164–180. Springer, Heidelberg (2007)
Lysyanskaya, A., Rivest, R.L., Sahai, A., Wolf, S.: Pseudonym Systems (Extended Abstract). In: Heys, H.M., Adams, C.M. (eds.) SAC 1999. LNCS, vol. 1758, pp. 184–199. Springer, Heidelberg (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
El Aimani, L., Sanders, O. (2013). Efficient Group Signatures in the Standard Model. In: Kwon, T., Lee, MK., Kwon, D. (eds) Information Security and Cryptology – ICISC 2012. ICISC 2012. Lecture Notes in Computer Science, vol 7839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37682-5_29
Download citation
DOI: https://doi.org/10.1007/978-3-642-37682-5_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37681-8
Online ISBN: 978-3-642-37682-5
eBook Packages: Computer ScienceComputer Science (R0)