Designs, Codes and Cryptography

, Volume 60, Issue 1, pp 63–66 | Cite as

Comments on Harn–Lin’s cheating detection scheme

Article

Abstract

Detection of cheating and identification of cheaters in threshold schemes has been well studied, and several solid solutions have been provided in the literature. This paper analyses Harn and Lin’s recent work on cheating detection and identification of cheaters in Shamir’s threshold scheme. We will show that, in a broad area, Harn–Lin’s scheme fails to detect cheating and even if the cheating is detected cannot identify the cheaters. In particular, in a typical Shamir (t, n)-threshold scheme, where n = 2t − 1 and up to t − 1 of participants are corrupted, their scheme neither can detect nor can identify the cheaters. Moreover, for moderate size of groups their proposed cheaters identification scheme is not practical.

Keywords

Threshold secret sharing schemes Cheating detection Cheaters identification 

Mathematics Subject Classification (2000)

0804 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Benaloh J.: Secret sharing homomorphisms: keeping shares of a secret secret. In: Odlyzko A. (ed.) Advances in Cryptology—Proceedings of CRYPTO’86. Lecture Notes in Computer Science, vol. 263, pp. 251–260. Springer-Verlag, Heidleberg (1987).Google Scholar
  2. 2.
    Blakley G.: Safeguarding cryptographic keys. In: Proceedings of AFIPS 1979 National Computer Conference, vol. 48, pp. 313–317 (1979).Google Scholar
  3. 3.
    Cormen T., Leiserson C.E., Rivest R., Stein C.: Introduction to Algorithms, Second edn. MIT Press, USA (2001)MATHGoogle Scholar
  4. 4.
    Harn L., Lin C.: Detection and identification of cheaters in (t, n) secret sharing scheme. In: Designs, Codes and Cryptography, vol. 52, pp. 15–24 (2009).Google Scholar
  5. 5.
    Rabin T.: Robust sharing of secrets when the dealer is honest or cheating. J. ACM 41(6), 1089–1109 (1994)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Shamir A.: How to share a secret. Commun. ACM 22, 612–613 (November) (1979).Google Scholar
  7. 7.
    Tompa M., Woll H.: How to share a secret with cheaters. J. Cryptol. 1(2), 133–138 (1988)MathSciNetMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.School of Business and Information TechnologyJames Cook UniversityTownsvilleAustralia

Personalised recommendations