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Real Hidden Identity-Based Signatures

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Financial Cryptography and Data Security (FC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 10322))

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Abstract

Group signature allows members to issue signatures on behalf of the group anonymously in normal circumstances. When the need arises, an opening authority (OA) can open a signature and reveal its true signer. Yet, many constructions require not only the secret key of the OA but also a member database (cf. a public-key repository) for this opening. This “secret members list” put the anonymity of members at risk as each of them is a potential signer.

To resolve this “anonymity catch-22” issue, Kiayias and Zhou proposed hidden identity-based signatures (Financial Crypt. 2007 and IET Information Security 2009), where the opening just takes in the secret key of the OA and directly outputs the signer identity. The membership list can be hidden from the OA since there is no membership list whatsoever. However, their constructions suffer from efficiency problem.

This paper aims to realize the vision of Kiayias and Zhou for real, that is, an efficient construction which achieves the distinctive feature of hidden identity-based signatures. Moreover, our construction is secure against concurrent attack, and easily extensible with linkability such that any double authentication can be publicly detected. Both features are especially desirable in Internet-based services which allow anonymous authentication with revocation to block any misbehaving user. We believe our work will improve the usability of group signature and its variant.

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Notes

  1. 1.

    We put issuing key generation and opening key generation together for brevity. It is easy to separate them in our schemes such that the respective private keys of the issuer and the opener are generated independently except according to the same security parameter, and the corresponding public keys will be put together in \(\mathsf{gpk}\).

  2. 2.

    This algorithm may be optional for some application scenarios.

  3. 3.

    Or, we could directly use NIZK proof of knowledge (NIZKPoK), being notionally equivalent to CCA encryption.

References

  1. Chaum, D., van Heyst, E.: Group signatures. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 257–265. Springer, Heidelberg (1991). https://doi.org/10.1007/3-540-46416-6_22

    Chapter  Google Scholar 

  2. Camenisch, J., Michels, M.: Separability and efficiency for generic group signature schemes. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 413–430. Springer, Heidelberg (1999). https://doi.org/10.1007/3-540-48405-1_27

    Chapter  Google Scholar 

  3. Kiayias, A., Zhou, H.-S.: Hidden identity-based signatures. In: Dietrich, S., Dhamija, R. (eds.) FC 2007. LNCS, vol. 4886, pp. 134–147. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-77366-5_14

    Chapter  Google Scholar 

  4. Kiayias, A., Zhou, H.: Hidden identity-based signatures. IET Inf. Secur. 3(3), 119–127 (2009)

    Article  Google Scholar 

  5. 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). https://doi.org/10.1007/978-3-540-71677-8_1. https://crypto.stanford.edu/~xb/pkc07/fullgrpsigs.pdf

    Chapter  Google Scholar 

  6. Liu, X., Xu, Q.-L.: Improved hidden identity-based signature scheme. In: International Conference on Intelligent Computing and Intelligent Systems (ICIS) (2010)

    Google Scholar 

  7. Liu, X., Xu, Q.-L.: Practical hidden identity-based signature scheme from bilinear pairings. In: 3rd International Conference on Computer Science and Information Technology (ICCSIT) (2010)

    Google Scholar 

  8. Liu, J.K., Wei, V.K., Wong, D.S.: Linkable spontaneous anonymous group signature for ad hoc groups. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, vol. 3108, pp. 325–335. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-27800-9_28

    Chapter  Google Scholar 

  9. Chow, S.S.M., Susilo, W., Yuen, T.H.: Escrowed linkability of ring signatures and its applications. In: Nguyen, P.Q. (ed.) VIETCRYPT 2006. LNCS, vol. 4341, pp. 175–192. Springer, Heidelberg (2006). https://doi.org/10.1007/11958239_12

    Chapter  Google Scholar 

  10. 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). https://doi.org/10.1007/11426639_12

    Chapter  Google Scholar 

  11. Chow, S.S.M.: Real traceable signatures. In: Jacobson, M.J., Rijmen, V., Safavi-Naini, R. (eds.) SAC 2009. LNCS, vol. 5867, pp. 92–107. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-05445-7_6

    Chapter  Google Scholar 

  12. Franklin, M., Zhang, H.: Unique group signatures. In: Foresti, S., Yung, M., Martinelli, F. (eds.) ESORICS 2012. LNCS, vol. 7459, pp. 643–660. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33167-1_37

    Chapter  Google Scholar 

  13. Galindo, D., Herranz, J., Kiltz, E.: On the generic construction of identity-based signatures with additional properties. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 178–193. Springer, Heidelberg (2006). https://doi.org/10.1007/11935230_12

    Chapter  Google Scholar 

  14. Abe, M., Chow, S.S.M., Haralambiev, K., Ohkubo, M.: Double-trapdoor anonymous tags for traceable signatures. Int. J. Inf. Secur. 12(1), 19–31 (2013)

    Article  Google Scholar 

  15. 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). https://doi.org/10.1007/978-3-540-30574-3_11

    Chapter  Google Scholar 

  16. Bootle, J., Cerulli, A., Chaidos, P., Ghadafi, E., Groth, J.: Foundations of fully dynamic group signatures. In: Manulis, M., Sadeghi, A.-R., Schneider, S. (eds.) ACNS 2016. LNCS, vol. 9696, pp. 117–136. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-39555-5_7

    Chapter  Google Scholar 

  17. Shamir, A.: Identity-based cryptosystems and signature schemes. In: Blakley, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47–53. Springer, Heidelberg (1985). https://doi.org/10.1007/3-540-39568-7_5

    Chapter  Google Scholar 

  18. Bellare, M., Namprempre, C., Neven, G.: Security proofs for identity-based identification and signature schemes. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 268–286. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24676-3_17

    Chapter  Google Scholar 

  19. Groth, J., Sahai, A.: Efficient noninteractive proof systems for bilinear groups. SIAM J. Comput. 41(5), 1193–1232 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  20. 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). https://doi.org/10.1007/978-3-642-14623-7_12

    Chapter  Google Scholar 

  21. 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). https://doi.org/10.1007/978-3-540-24676-3_4

    Chapter  Google Scholar 

  22. Yuen, T.H., Chow, S.S.M., Zhang, C., Yiu, S.: Exponent-inversion signatures and IBE under static assumptions. IACR Cryptology ePrint Archive, Report 2014/311 (2014)

    Google Scholar 

  23. Abe, M., Haralambiev, K., Ohkubo, M.: Signing on elements in bilinear groups for modular protocol design. IACR Cryptology ePrint Archive, Report 2010/133 (2010). http://eprint.iacr.org/2010/133

  24. Miyaji, A., Nakabayashi, M., Takano, S.: New explicit conditions of elliptic curve traces for FR-reduction. IEICE Trans. Fund. 84(5), 1234–1243 (2001)

    MATH  Google Scholar 

  25. ElGamal, T.: A public key cryptosystem and a signature scheme based on discrete logarithms. In: Blakley, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 10–18. Springer, Heidelberg (1985). https://doi.org/10.1007/3-540-39568-7_2

    Chapter  Google Scholar 

  26. Groth, J.: Fully anonymous group signatures without random oracles. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 164–180. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-76900-2_10

    Chapter  Google Scholar 

  27. Abe, M., Chase, M., David, B., Kohlweiss, M., Nishimaki, R., Ohkubo, M.: Constant-size structure-preserving signatures: generic constructions and simple assumptions. In: Wang, X., Sako, K. (eds.) ASIACRYPT 2012. LNCS, vol. 7658, pp. 4–24. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-34961-4_3

    Chapter  Google Scholar 

  28. Camenisch, J., Haralambiev, K., Kohlweiss, M., Lapon, J., Naessens, V.: Structure preserving CCA secure encryption and applications. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 89–106. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-25385-0_5

    Chapter  Google Scholar 

  29. Au, M.H., Tsang, P.P., Kapadia, A.: PEREA: practical TTP-free revocation of repeatedly misbehaving anonymous users. ACM Trans. Inf. Syst. Secur. 14(4), 29 (2011)

    Article  Google Scholar 

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Acknowledgment

Sherman Chow is supported in part by the Early Career Scheme and the Early Career Award (CUHK 439713), and General Research Funds (CUHK 14201914) of the Research Grants Council, University Grant Committee of Hong Kong. Haibin acknowledges NSF grant CNS 1330599 and CNS 1413996, as well as the Office of Naval Research grant N00014-13-1-0048.

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Authors and Affiliations

  1. Chinese University of Hong Kong, Shatin, NT, Hong Kong

    Sherman S. M. Chow & Tao Zhang

  2. University of Connecticut, Mansfield, CT, 06269, USA

    Haibin Zhang

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  1. Sherman S. M. Chow
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Correspondence to Sherman S. M. Chow .

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  1. University of Edinburgh, Edinburgh, UK

    Aggelos Kiayias

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© 2017 International Financial Cryptography Association

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Chow, S.S.M., Zhang, H., Zhang, T. (2017). Real Hidden Identity-Based Signatures. In: Kiayias, A. (eds) Financial Cryptography and Data Security. FC 2017. Lecture Notes in Computer Science(), vol 10322. Springer, Cham. https://doi.org/10.1007/978-3-319-70972-7_2

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  • DOI: https://doi.org/10.1007/978-3-319-70972-7_2

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