Cryptanalysis of Two Group Signature Schemes

  • Marc Joye
  • Seungjoo Kim
  • Narn-Yih Lee
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1729)

Abstract

Group signature schemes allow a group member to anonymously sign on group’s behalf. Moreover, in case of anonymity misuse, a group authority can recover the issuer of a signature. This paper analyzes the security of two group signature schemes recently proposed by Tseng and Jan. We show that both schemes are universally forgeable, that is, anyone (not necessarily a group member) is able to produce a valid group signature on an arbitrary message, which cannot be traced by the group authority.

Keywords

Digital signatures Group signatures Cryptanalysis Universal forgeries 

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References

  1. 1.
    Stefan Brands, An efficient off-line electronic cash system based on the representation problem, Technical Report CS-R9323, Centrum voor Wiskunde en Informatica, April 1993.Google Scholar
  2. 2.
    Jan Camenisch and Markus Michels. A group signature scheme with improved efficiency. In Advances in Cryptology-ASIACRYPT’98, LNCS 1514, pp. 160–174. Springer-Verlag, 1998.CrossRefGoogle Scholar
  3. 3.
    David Chaum and Eugène van Heijst. Group signatures. In Advances in Cryptology-EUROCRYPT’ 91, LNCS 547, pp. 257–265. Springer-Verlag, 1991.Google Scholar
  4. 4.
    Marc Girault. Self-certified public keys. In Advances in Cryptology–EURO-CRYPT’91, LNCS 547, pp. 491–497. Springer-Verlag, 1991.Google Scholar
  5. 5.
    Anna Lysyanskaya and Zulfikar Ramzan. Group blind signatures: A scalable solution to electronic cash. In Financial Cryptography (FC’98), LNCS 1465, pp. 184–197. Springer-Verlag, 1998.CrossRefGoogle Scholar
  6. 6.
    Wenbo Mao and Chae Hoon Lim. Cryptanalysis in prime order subgroups of ℤn. In Advances in Cryptology-ASIACRYPT’98, LNCS 1514, pp. 214–226. Springer-Verlag, 1998.CrossRefGoogle Scholar
  7. 7.
    Ueli M. Maurer and Yacov Yacobi. Non-interactive public-key cryptography. In Advances in Cryptology-EUROCRYPT’91, LNCS 547, pp. 498–507. Springer-Verlag, 1991.Google Scholar
  8. 8.
    Toru Nakanishi, Toru Fujiwara and Hajime Watanabe. A secret voting protocol using a group signature scheme. Technical Report ISEC96-23, IEICE, September 1996.Google Scholar
  9. 9.
    Sangjoon Park, Seungjoo Kim and Dongho Won. ID-based group signature. Electronics Letters, 33(19):1616–1617, 1997.CrossRefGoogle Scholar
  10. 10.
    Sangjoon Park, Seungjoo Kim and Dongho Won. On the security of ID-based group signature. Journal of the Korean Institute of Information Security and Cryptology, 8(3):27–37, 1998.Google Scholar
  11. 11.
    Jacques Traoré. Group signatures and their relevance to privacy-protecting off-line electronic cash systems. In Information Security and Privacy (ACISP’99), LNCS 1587, pp. 228–243. Springer-Verlag, 1999.CrossRefGoogle Scholar
  12. 12.
    Yuh-Min Tseng and Jinn-Ke Jan. A novel ID-based group signature. In T. L. Hwang and A.K. Lenstra, editors, 1998 International Computer Symposium, Workshop on Cryptology and Information Security (Tainan, December 17-19, 1998), pp. 159–164.Google Scholar
  13. 13.
    — A group signature scheme using self-certified public keys. In Ninth National Conference on Information Security (Taichung, May 14-15, 1999), pp. 165–172.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Marc Joye
    • 1
  • Seungjoo Kim
    • 2
  • Narn-Yih Lee
    • 3
  1. 1.Gemplus Card InternationalIssy-les-Moulineaux CedexFrance
  2. 2.Korea Information Security Agency (KISA) 5th FL., Dong-A TowerSeoulKorea
  3. 3.Dept of Applied Foreign LanguageNan-Tai Institute of Technology TainanR.O.C.Taiwan

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