Skip to main content

On the Security of the RSA-Based Multisignature Scheme for Various Group Structures

  • Conference paper
Information Security and Privacy (ACISP 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1841))

Included in the following conference series:

Abstract

When more than one user sign a single message, each signer is in a different position in a signing group and has a different responsibility. In such a case, it is important to verify not only the names of participants but also the order of signers. To meet such a requirement a RSA-based multisignature scheme for various group structures was proposed in [5]. This scheme can deal with a group composed of serial and parallel structures. With serial structures different signing orders produce different multisignature and with parallel structures the multisignatures are independent of the signing order. Since the security proofs given in [5] are not complete, it remains open whether the scheme is secure or not. In this paper, we propose a slight modification of the scheme and prove its security by showing reductions to computationally primitive problems.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Burmester, M., Desmedt, Y., Doi, H., Mambo, M., Okamoto, E., Tada, M., Yoshifuji, Y.: A Structured ElGamal-Type Multisignature Scheme. In: Imai, H., Zheng, Y. (eds.) PKC 2000. LNCS, vol. 1751, pp. 466–482. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  2. Boyd, C.: Some Applications of Multiple Key Ciphers. In: Günther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 455–467. Springer, Heidelberg (1988)

    Google Scholar 

  3. Desmedt, Y., Frankel, Y.: Shared generation of authenticators and signatures. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 457–469. Springer, Heidelberg (1992)

    Google Scholar 

  4. Doi, H., Okamoto, E., Mambo, M., Uyematsu, T.: Multisignature Scheme with Specified Order, SCIS94-2A, January 27-29 (1994)

    Google Scholar 

  5. Doi, H., Okamoto, E., Mambo, M.: Multisignature Schemes for Various Group Structures. In: Proc. of 36th Annual Allerton Conference on Communication, Control and Computing, pp. 713–722 (1999)

    Google Scholar 

  6. ElGamal, T.: A public key cryptosystem and a signature scheme based on discrete logarithms. IEEE Trans. on Inform. Theory IT-31(4), 469–472 (1985)

    Article  MathSciNet  Google Scholar 

  7. Koblitz, N.: A Course in Number Theory and Cryptography, GTM 114, 2nd edn. Springer, Heidelberg (1994)

    Book  Google Scholar 

  8. Okamoto, T.: A Digital Multisignature Scheme Using Bijective Public-Key Cryptosystems. ACM Trans. on Computer Systems 6(8), 432–441 (1988)

    Article  Google Scholar 

  9. Rivest, R.L., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystems. Commun. of the ACM 21(2), 120–126 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  10. Yen, S., Laih, C.: New Digital Signature Scheme Based on Discrete Logarithm. Electronics Letters 29(12), 1120–1121 (1993)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Doi, H., Mambo, M., Okamoto, E. (2000). On the Security of the RSA-Based Multisignature Scheme for Various Group Structures. In: Dawson, E.P., Clark, A., Boyd, C. (eds) Information Security and Privacy. ACISP 2000. Lecture Notes in Computer Science, vol 1841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10718964_29

Download citation

  • DOI: https://doi.org/10.1007/10718964_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67742-0

  • Online ISBN: 978-3-540-45030-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics