Skip to main content

Short E-Cash

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 3797))

Abstract

We present a bandwidth-efficient off-line anonymous e-cash scheme with traceable coins. Once a user double-spends, his identity can be revealed and all his coins in the system can be traced, without resorting to TTP. For a security level comparable with 1024-bit standard RSA signature, the payment transcript size is only 512 bytes. Security of the proposed scheme is proven under the q-strong Diffie-Hellman assumption and the decisional linear assumption, in the random oracle model. The transcript size of our scheme can be further reduced to 192 bytes if external Diffie-Hellman assumption is made. Finally, we propose a variant such that there exists a TTP with the power to revoke the identity of a payee and trace all coins from the same user, which may be desirable when a malicious user is identified by some non-cryptographic means.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abe, M., Fujisaki, E.: How to Date Blind Signatures. In: Kim, K.-c., Matsumoto, T. (eds.) ASIACRYPT 1996. LNCS, vol. 1163, pp. 244–251. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  2. Ateniese, G., Camenisch, J., Joye, M., Tsudik, G.: A Practical and Provably Secure Coalition-Resistant Group Signature Scheme. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 255–270. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  3. 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)

    Chapter  Google Scholar 

  4. Boneh, D., Boyen, X., Shacham, H.: Short Group Signatures. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 41–55. Springer, Heidelberg (2004)

    Google Scholar 

  5. 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 

  6. Brands, S.: Untraceable Off-line Cash in Wallets with Observers. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 302–318. Springer, Heidelberg (1994)

    Google Scholar 

  7. Brickell, E., Gemmell, P., Kravitz, D.: Trustee-based Tracing Extensions to Anonymous Cash and the Making of Anonymous Change. In: SODA 1995: ACM-SIAM Symposium on Discrete Algorithms, pp. 457–466. SIAM, Philadelphia (1995)

    Google Scholar 

  8. Camenisch, J., Hohenberger, S., Lysyanskaya, A.: Compact E-Cash. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 302–321. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Camenisch, J., Stadler, M.: Efficient Group Signature Schemes for Large Groups. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 410–424. Springer, Heidelberg (1997)

    Google Scholar 

  10. Canard, S., Traoré, J.: On Fair E-cash Systems Based on Group Signature Schemes. In: Safavi-Naini, R., Seberry, J. (eds.) ACISP 2003. LNCS, vol. 2727, pp. 237–248. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Chaum, D.: Blind Signatures for Untraceable Payments. In: Advances in Cryptology 1981, pp. 199–203. Plenum, New York (1983)

    Google Scholar 

  12. Chaum, D., Fiat, A., Naor, M.: Untraceable Electronic Cash. In: Goldwasser, S. (ed.) CRYPTO 1988. LNCS, vol. 403, pp. 319–327. Springer, Heidelberg (1990)

    Google Scholar 

  13. Chaum, D., van Heyst, E.: Group Signatures. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 257–265. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  14. Ferguson, N.: Single Term Off-Line Coins. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 318–328. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  15. Franklin, M.K., Yung, M.: Secure and Efficient Off-Line Digital Money (Extended Abstract). In: Lingas, A., Carlsson, S., Karlsson, R. (eds.) ICALP 1993. LNCS, vol. 700, pp. 265–276. Springer, Heidelberg (1993)

    Google Scholar 

  16. Jarecki, S., Shmatikov, V.: Handcuffing Big Brother: An Abuse-Resilient Transaction Escrow Scheme. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 590–608. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  17. Kiayias, A., Tsiounis, Y., Yung, M.: Traceable Signatures. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 571–589. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  18. Lysyanskaya, A., Ramzan, Z.: Group Blind Digital Signatures: A Scalable Solution to Electronic Cash. In: Hirschfeld, R. (ed.) FC 1998. LNCS, vol. 1465, pp. 184–197. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  19. Maitland, G., Boyd, C.: Fair Electronic Cash Based on a Group Signature Scheme. In: Qing, S., Okamoto, T., Zhou, J. (eds.) ICICS 2001. LNCS, vol. 2229, pp. 461–465. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  20. Nakanishi, T., Haruna, N., Sugiyama, Y.: Unlinkable Electronic Coupon Protocol with Anonymity Control. In: Zheng, Y., Mambo, M. (eds.) ISW 1999. LNCS, vol. 1729, pp. 37–46. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  21. Okamoto, T.: An Efficient Divisible Electronic Cash Scheme. In: Coppersmith, D. (ed.) CRYPTO 1995. LNCS, vol. 963, pp. 438–451. Springer, Heidelberg (1995)

    Google Scholar 

  22. Okamoto, T., Ohta, K.: Disposable Zero-Knowledge Authentications and Their Applications to Untraceable Electronic Cash. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 481–496. Springer, Heidelberg (1990)

    Google Scholar 

  23. Qiu, W., Chen, K., Gu, D.: A New Offline Privacy Protecting E-cash System with Revokable Anonymity. In: Chan, A.H., Gligor, V.D. (eds.) ISC 2002. LNCS, vol. 2433, pp. 177–190. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  24. Stadler, M., Piveteau, J.-M., Camenisch, J.: Fair Blind Signatures. In: Guillou, L.C., Quisquater, J.-J. (eds.) EUROCRYPT 1995. LNCS, vol. 921, pp. 209–219. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  25. Traoré, J.: Group Signatures and Their Relevance to Privacy-Protecting Off-Line Electronic Cash Systems. In: Pieprzyk, J.P., Safavi-Naini, R., Seberry, J. (eds.) ACISP 1999. LNCS, vol. 1587, pp. 228–243. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  26. Tsang, P.P., Wei, V.K.: Short Linkable Ring Signatures for E-Voting, E-Cash and Attestation. In: Deng, R.H., Bao, F., Pang, H., Zhou, J. (eds.) ISPEC 2005. LNCS, vol. 3439, pp. 48–60. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  27. von Solms, S., Naccache, D.: On Blind Signatures and Perfect Crimes. Computer Security 11(6), 581–583 (1992)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Au, M.H., Chow, S.S.M., Susilo, W. (2005). Short E-Cash. In: Maitra, S., Veni Madhavan, C.E., Venkatesan, R. (eds) Progress in Cryptology - INDOCRYPT 2005. INDOCRYPT 2005. Lecture Notes in Computer Science, vol 3797. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11596219_27

Download citation

  • DOI: https://doi.org/10.1007/11596219_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30805-8

  • Online ISBN: 978-3-540-32278-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics