Skip to main content

Divertible Zero-Knowledge Proof of Polynomial Relations and Blind Group Signature

  • Conference paper
  • First Online:
Information Security and Privacy (ACISP 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1587))

Included in the following conference series:

Abstract

A divertible protocol is a protocol between three parties in which one party is able to divert another party’s proof of some facts to prove some other facts to the other party. This paper presents a divertible protocol to prove multi-variant polynomial relations. Its direct application to blind group signature is also shown.

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. J. Camenisch, “Efficient and Generalized Group Signatures”, Advances in Cryptology-EUROCRYPT’97 Proceedings, Springer-Verlag 1997, pp. 465–479.

    Google Scholar 

  2. J. Camenisch and M. Stadler, Efficient Group Signatures for Large Groups, Advances of Cryptology: Proceedings of Crypto’97, Springer-Verlag, 1997, pp. 465–479.

    Google Scholar 

  3. D. Chaum, “Blind Signatures for Untraceable Payments”, Advances in Cryptology: Proceedings of Crypto 82, Plenum Press, 1983, pp. 199–203.

    Google Scholar 

  4. D. Chaum, E. van Heijst, “Group Signatures”, Advances in Cryptology-EUROCRYPT’91 Proceedings. Springer-Verlag, 1991, pp. 257–265.

    Google Scholar 

  5. D. Chaum and T. Pedersen. “Wallet databases with observers”, Advances in Cryptology-CRYPTO’92, Springer-Verlag, 1993, pp. 89–105.

    Google Scholar 

  6. L. Chen and T.P. Petersen, “New Group Signature Schemes”, Advances in Cryptology-EUROCRYPT’94 Proceedings, Springer-Verlag 1995, pp. 171–181.

    Google Scholar 

  7. R. Cramer and I. Damgard, “Zero-Knowledge Proofs for Finite Field Arithmetic or: Can Zero-Knowledge be for Free?”, Advances of Cryptology-Proceedings of Crypto’98, to appear.

    Google Scholar 

  8. Y. Desmedt, C. Goutier and S. Bengio, “Special Uses and Abuses of the Fiat-Shamir Passport Protocol”, Advances in Cryptology-CRYPTO’87 Proceedings, Springer-Verlag, 1988, pp. 21–39.

    Google Scholar 

  9. A. Fiat and A. Shamir, “How to Prove Yourself: Practical Solutions to Identification and Signature Problems”, Advances in Cryptology-CRYPTO’86 Proceedings, Springer-Verlag, 1987, pp. 186–194.

    Google Scholar 

  10. E. Fujisaki and T. Okamoto, Statistical Zero-Knowledge Protocols to Prove Modular Polynomial Relations, Advances of Cryptology-Proceedings of Crypto’97, Springer-Verlag 1997, pp. 16–30.

    Google Scholar 

  11. T. Okamoto, “Provably Secure and Practical Identification Schemes and Corresponding Signature Schemes”, Advances in Cryptology-CRYPTO’92 Proceedings, Springer-Verlag, 1993, pp.54–65.

    Google Scholar 

  12. T. Okamoto and K. Ohta, “Disposable Zero-Knowledge Authentication and Their Applications to Untraceable Electronic Cash”, Advances in Cryptology-CRYPTO’89 Proceedings, Springer-Verlag, 1990, pp. 134–149.

    Google Scholar 

  13. T.P. Pedersen, “Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing”, Advances in Cryptology-CRYPTO’91 Proceedings, Springer-Verlag, 1992, pp. 129–140.

    Google Scholar 

  14. G.J. Simmons, “The Prisoner’s Problem and the Subliminal Channel”, Advances in Cryptology: Proceedings of Crypto 83, Pleum Press, 1984, pp. 51–67.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nguyen, K.Q., Mu, Y., Varadharajan, V. (1999). Divertible Zero-Knowledge Proof of Polynomial Relations and Blind Group Signature. In: Pieprzyk, J., Safavi-Naini, R., Seberry, J. (eds) Information Security and Privacy. ACISP 1999. Lecture Notes in Computer Science, vol 1587. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48970-3_10

Download citation

  • DOI: https://doi.org/10.1007/3-540-48970-3_10

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65756-9

  • Online ISBN: 978-3-540-48970-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics