Skip to main content

Unrestricted Aggregate Signatures

  • Conference paper
Automata, Languages and Programming (ICALP 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4596))

Included in the following conference series:

Abstract

Secure use of the BGLS [1] aggregate signature schemes is restricted to the aggregation of distinct messages (for the basic scheme) or per-signer distinct messages (for the enhanced, prepend-public-key version of the scheme). We argue that these restrictions preclude interesting applications, make usage of the schemes error-prone and are generally undesirable in practice. Via a new analysis and proof, we show how the restrictions can be lifted, yielding the first truly unrestricted aggregate signature scheme. Via another new analysis and proof, we show that the distinct signer restriction on the sequential aggregate signature schemes of [2] can also be dropped, yielding an unrestricted sequential aggregate signature scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Chapter  Google Scholar 

  2. 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)

    Google Scholar 

  3. Boneh, D., Lynn, B., Shacham, H.: Short signatures from the Weil pairing. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514–532. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  4. Intergovernmental Oceanographic Commission of UNESCO: Towards the establishment of a tsunami warning and mitigation system for the Indian Ocean (Last accessed, April 13, 2007), available at http://ioc3.unesco.org/indotsunami/

  5. Boneh, D., Gentry, C., Lynn, B., Shacham, H.: A survey of two signature aggregation techniques. RSA’s CryptoBytes 6(2) (2003)

    Google Scholar 

  6. Bellare, M., Yung, M.: Certifying permutations: Noninteractive zero-knowledge based on any trapdoor permutation. Journal of Cryptology 9(3), 149–166 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  7. Bellare, M., Namprempre, C., Neven, G.: Unrestricted aggregate signatures. Full version of this paper (2006), available from http://eprint.iacr.org/2006/285

  8. Katz, J., Wáng, N.: Efficiency improvements for signature schemes with tight security reductions. In: ACM CCS 2003, pp. 155–164. ACM Press, New York (2003)

    Chapter  Google Scholar 

  9. 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)

    Chapter  Google Scholar 

  10. Bellare, M., Boldyreva, A., Staddon, J.: Randomness re-use in multi-recipient encryption schemes. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 85–99. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. 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)

    Chapter  Google Scholar 

  12. 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)

    Chapter  Google Scholar 

  13. Shacham, H.: New Paradigms in Signature Schemes. PhD thesis, Stanford University (2005)

    Google Scholar 

  14. Goldwasser, S., Micali, S., Rivest, R.L.: A digital signature scheme secure against adaptive chosen-message attacks. SIAM Journal on Computing 17(2), 281–308 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  15. Bellare, M., Goldreich, O.: On defining proofs of knowledge. In: Brickell, E.F. (ed.) CRYPTO 1992. LNCS, vol. 740, pp. 390–420. Springer, Heidelberg (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Lars Arge Christian Cachin Tomasz Jurdziński Andrzej Tarlecki

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bellare, M., Namprempre, C., Neven, G. (2007). Unrestricted Aggregate Signatures. In: Arge, L., Cachin, C., Jurdziński, T., Tarlecki, A. (eds) Automata, Languages and Programming. ICALP 2007. Lecture Notes in Computer Science, vol 4596. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73420-8_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-73420-8_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73419-2

  • Online ISBN: 978-3-540-73420-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics