Skip to main content

Cheating Prevention in Secret Sharing

  • 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

The commonly used technique for cheating detection requires that extra information be given to each participant. However, in a secret sharing scheme when the size of shares increases the security of the system degrades. In this paper we study the cheating problem in Shamir’s scheme (in the sense of Tompa and Woll [1] attack) and present alternative solutions to this problem. First we consider cheating prevention via longer shares. Next we introduce redundant secret sharing schemes and show how they can be used for cheating prevention. Nonlinear secret sharing offers also some protection against cheaters. The work concludes with a discussion about a combined approach.

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. Tompa, M., Woll, H.: How To Share a Secret with Cheaters. Journal of Cryptology 1(2), 133–138 (1988)

    MATH  MathSciNet  Google Scholar 

  2. Carpentieri, M., Santis, A., Vaccaro, U.: Size of Shares and Probability of Cheating in Threshold Schemes. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 118–125. Springer, Heidelberg (1994)

    Google Scholar 

  3. Blakley, G.: Safeguarding cryptographic keys. In: Proceedings of AFIPS 1979 National Computer Conference, vol. 48, pp. 313–317 (1979)

    Google Scholar 

  4. Chaum, D.: Computer Systems Established, Maintained, and Trusted by Mutually Suspicious Groups, tech. rep., Memorandum No. UCB/ERL M/79/10, University of California, Berkeley, CA (February 1979)

    Google Scholar 

  5. Shamir, A.: How to Share a Secret. Communications of the ACM 22, 612–613 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  6. Feldman, P.: A Practical Scheme for Non-interactive Verifiable Secret Sharing. In: 28th IEEE Symposium on Foundations of Computer Science, pp. 427–437 (October 1987)

    Google Scholar 

  7. Pedersen, T.: A Threshold Cryptosystem without a Trusted Party. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 522–526. Springer, Heidelberg (1991)

    Google Scholar 

  8. Stadler, M.: Publicly Verifiable Secret Sharing. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 190–199. Springer, Heidelberg (1996)

    Google Scholar 

  9. Rabin, T., Ben-Or, M.: Verifiable secret sharing and multiparty protocols with honest majority. In: Proceedings of 21st ACM Symposium on Theory of Computing, pp. 73–85 (1989)

    Google Scholar 

  10. Carpentieri, M.: A perfect threshold secret sharing scheme to identify cheaters. Designs, Codes and Cryptography 5(3), 183–187 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  11. Blakley, G., Meadows, C.: Security Of Ramp Schemes. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 242–268. Springer, Heidelberg (1985)

    Chapter  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

Ghodosi, H., Pieprzyk, J. (2000). Cheating Prevention in Secret Sharing. 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_27

Download citation

  • DOI: https://doi.org/10.1007/10718964_27

  • 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