Skip to main content

An Anonymous Auction Protocol with a Single Non-trusted Center Using Binary Trees

  • Conference paper
  • First Online:
Information Security (ISW 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1975))

Included in the following conference series:

Abstract

Some works about an electronic auction protocol have been proposed[2],[3],[4],[5],[6],[8],[11],[12]. An electronic auction protocol should satisfy the following seven properties: (a)Fair of bidders; (b)Security of bids; (c)Anonymity; (d)Validity of winning bids; (e)Non-repudiation; (f)Robustness; and (g)Efficient bidding points. As for anonymity, previous protocols assume some entities like a dealer or plural centers to be trusted. In this paper, anonymity is realized without a trusted center, maintaining both computational and round complexity low. Furthermore, we represent a bid efficiently by using binary trees: for 2k bidding points, the size of the representation of bids is just k. Previous works investigating a sealed-bid auction aim at “efficiency” but not “entertainment” seen in English auction[2],[4],[5],[6],[11],[12]. We introduce a new idea of entertainment to the opening phase by decreasing winner candidates little by little. Our protocol has the following three main features in addition to the above seven properties: perfect anonymity(a single non-trusted center), efficient bidding points and entertainment.

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. T. ElGamal. A Public Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms. IEEE Trans. on Information Theory, pages 469–472, 1985.

    Google Scholar 

  2. M. Franklin and M. Reiter. The design and implementation of a secure auction service. IEEE Transactions on Software Engineering, 5:302–312, 1996.

    Article  Google Scholar 

  3. M. Harkavy, D. Tyger, and H. Kikuchi. Electronic Auctions with Private Bids. In Proceedings of the Third USENIX Workshop on Electronic Commerce, 1998.

    Google Scholar 

  4. H. Kikuchi, M. Harkavy, and D. Tyger. Multi-round anonymous auction protocols. In Proceedings of the First IEEE Workshop on Dependable and Real-Time E-Commerce Systems, pages 62–69, 1998.

    Google Scholar 

  5. K. Kobayashi and M. Morita. Efficient sealed-bid auction with quantitative competition using one-way functions. ISEC99-30, pages 31–37, 1999.

    Google Scholar 

  6. M. Kudo. Secure electronic sealed-bid auction protocol with public key cryptography. IEICE Trans. Fundamentals, E81-A(1):20–27, 1998.

    MathSciNet  Google Scholar 

  7. NIST. Secure Hash Standard (SHS). FIPS Publication 180–1, April 1995.

    Google Scholar 

  8. C-S. Peng, M. Pulido, J. Lin, and M. Blough. The Design of an Internet-based Real Time Auction Systems. In Proceedings of the First IEEE Workshop on Dependable and Real-Time E-Commerce Systems, pages 70–78, 1998.

    Google Scholar 

  9. R.L. Rivest. The MD5 message-digest algorithm. Internet Request for Comments, pages 302–312, April 1992.

    Google Scholar 

  10. R.L. Rivest and A. Shamir. PayWord and MicroMint:Two simple micropayment schemes. To Appear at the RSA’ 96 Conference, May 1996.

    Google Scholar 

  11. K. Sako. An Auction Protocol Which Hides Bids of Losers. In Proceedings of PKC2000, pages 422–432, 2000.

    Google Scholar 

  12. K. Sakurai and S. Miyazaki. A Bulletin-board based digital auction scheme with bidding down strategy-towards anonymous electronic bidding without anonymous channels nor trusted centers in Cryptographic Techniques and E-Commerce. In Proceedings of the 1999 International Workshop on Cryptographic Techniques and E-Commerce(CryTEC’ 99), 1999.

    Google Scholar 

  13. A. Shamir. How to share a secret. Communications of the ACM, 22:612–613, 1979.

    Article  MATH  MathSciNet  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

Omote, K., Miyaji, A. (2000). An Anonymous Auction Protocol with a Single Non-trusted Center Using Binary Trees. In: Goos, G., Hartmanis, J., van Leeuwen, J., Pieprzyk, J., Seberry, J., Okamoto, E. (eds) Information Security. ISW 2000. Lecture Notes in Computer Science, vol 1975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44456-4_9

Download citation

  • DOI: https://doi.org/10.1007/3-540-44456-4_9

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41416-2

  • Online ISBN: 978-3-540-44456-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics