Skip to main content

Identity-Based Multi-signatures from RSA

  • Conference paper

Part of the Lecture Notes in Computer Science book series (LNSC,volume 4377)

Abstract

Multi-signatures allow multiple signers to jointly authenticate a message using a single compact signature. Many applications however require the public keys of the signers to be sent along with the signature, partly defeating the effect of the compact signature. Since identity strings are likely to be much shorter than randomly generated public keys, the identity-based paradigm is particularly appealing for the case of multi-signatures. In this paper, we present and prove secure an identity-based multi-signature (IBMS) scheme based on RSA, which in particular does not rely on (the rather new and untested) assumptions related to bilinear maps. We define an appropriate security notion for interactive IBMS schemes and prove the security of our scheme under the one-wayness of RSA in the random oracle model.

Keywords

  • Signature Scheme
  • Random Oracle
  • Random Oracle Model
  • Honest Signer
  • Signature Query

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/11967668_10
  • Chapter length: 18 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   99.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-69328-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   129.00
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barr, K., Asanovic, K.: Energy aware lossless data compression. In: MobiSys 2003, pp. 231–244. ACM Press, New York (2003)

    CrossRef  Google Scholar 

  2. 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)

    CrossRef  Google Scholar 

  3. Bellare, M., Neven, G.: Multi-signatures in the plain public-key model and a general forking lemma. In: ACM CCS 2006. ACM Press, New York (2006)

    Google Scholar 

  4. Bellare, M., Rogaway, P.: Random oracles are practical: A paradigm for designing efficient protocols. In: ACM CCS 1993, pp. 62–73. ACM Press, New York (1993)

    CrossRef  Google Scholar 

  5. Boldyreva, A.: Threshold signatures, multisignatures and blind signatures based on the gap-Diffie-Hellman-group signature scheme. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 31–46. Springer, Heidelberg (2002)

    CrossRef  Google Scholar 

  6. Boneh, D., Gentry, C., Lynn, B., Shacham, H.: Aggregate and verifiably encrypted signatures from bilinear maps. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 416–432. Springer, Heidelberg (2003)

    CrossRef  Google Scholar 

  7. Castelluccia, C., Jarecki, S., Kim, J., Tsudik, G.: A robust multisignatures scheme with applications to acknowledgment aggregation. In: Blundo, C., Cimato, S. (eds.) SCN 2004. LNCS, vol. 3352, pp. 193–207. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  8. Castelluccia, C., Jarecki, S., Kim, J., Tsudik, G.: Secure acknowledgment aggregation and multisignatures with limited robustness. Computer Networks 50(10), 1639–1652 (2006)

    MATH  CrossRef  Google Scholar 

  9. Cha, J.C., Cheon, J.H.: An identity-based signature from gap Diffie-Hellman groups. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 18–30. Springer, Heidelberg (2002)

    CrossRef  Google Scholar 

  10. Cheng, X., Liu, J., Wang, X.: Identity-based aggregate and verifiably encrypted signatures from bilinear pairing. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3483, pp. 1046–1054. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  11. Coron, J.-S.: On the exact security of full domain hash. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 229–235. Springer, Heidelberg (2000)

    CrossRef  Google Scholar 

  12. Dodis, Y., Katz, J., Xu, S., Yung, M.: Strong key-insulated signature schemes. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 130–144. Springer, Heidelberg (2002)

    CrossRef  Google Scholar 

  13. Feige, U., Fiat, A., Shamir, A.: Zero knowledge proofs of identity. Journal of Cryptology 1(2), 77–94 (1988)

    MATH  CrossRef  MathSciNet  Google Scholar 

  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. Galbraith, S.D., Paterson, K.G., Smart, N.P.: Pairings for cryptographers (2006), http://eprint.iacr.org/

  16. 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. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  17. Gentry, C., Ramzan, Z.: Identity-based aggregate signatures. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T.G. (eds.) PKC 2006. LNCS, vol. 3958, pp. 257–273. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  18. Guillou, L.C., Quisquater, J.-J.: A “paradoxical” indentity-based signature scheme resulting from zero-knowledge. In: Goldwasser, S. (ed.) CRYPTO 1988. LNCS, vol. 403, pp. 216–231. Springer, Heidelberg (1990)

    Google Scholar 

  19. Hess, F.: Efficient identity based signature schemes based on pairings. In: Nyberg, K., Heys, H.M. (eds.) SAC 2002. LNCS, vol. 2595, pp. 310–324. Springer, Heidelberg (2003)

    CrossRef  Google Scholar 

  20. Itakura, K., Nakamura, K.: A public-key cryptosystem suitable for digital multisignatures. NEC Research & Development 71, 1–8 (1983)

    Google Scholar 

  21. Joux, A.: A one round protocol for tripartite Diffie-Hellman. In: Bosma, W. (ed.) ANTS 2000. LNCS, vol. 1838, pp. 385–394. Springer, Heidelberg (2000)

    CrossRef  Google Scholar 

  22. Lu, S., Ostrovsky, R., Sahai, A., Shacham, H., Waters, B.: Sequential aggregate signatures and multisignatures without random oracles. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  23. Lysyanskaya, A., Micali, S., Reyzin, L., Shacham, H.: Sequential aggregate signatures from trapdoor permutations. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 74–90. Springer, Heidelberg (2004)

    CrossRef  Google Scholar 

  24. Micali, S., Ohta, K., Reyzin, L.: Accountable-subgroup multisignatures. In: ACM CCS 2001, pp. 245–254. ACM Press, New York (2001)

    CrossRef  Google Scholar 

  25. Ohta, K., Okamoto, T.: A modification of the Fiat-Shamir scheme. In: Goldwasser, S. (ed.) CRYPTO 1988. LNCS, vol. 403, pp. 232–243. Springer, Heidelberg (1990)

    Google Scholar 

  26. Ong, H., Schnorr, C.-P.: Fast signature generation with a Fiat Shamir–like scheme. In: Damgård, I.B. (ed.) EUROCRYPT 1990. LNCS, vol. 473, pp. 432–440. Springer, Heidelberg (1991)

    Google Scholar 

  27. Pointcheval, D., Stern, J.: Security arguments for digital signatures and blind signatures. Journal of Cryptology 13(3), 361–396 (2000)

    MATH  CrossRef  Google Scholar 

  28. 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)

    CrossRef  Google Scholar 

  29. Yi, X.: An identity-based signature scheme from the Weil pairing. IEEE Communications Letters 7(2), 76–78 (2003)

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bellare, M., Neven, G. (2006). Identity-Based Multi-signatures from RSA. In: Abe, M. (eds) Topics in Cryptology – CT-RSA 2007. CT-RSA 2007. Lecture Notes in Computer Science, vol 4377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11967668_10

Download citation

  • DOI: https://doi.org/10.1007/11967668_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69327-7

  • Online ISBN: 978-3-540-69328-4

  • eBook Packages: Computer ScienceComputer Science (R0)