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Cryptanalysis of group signature scheme from ID-based signature scheme

Published: 14 November 2004 Publication History

Abstract

In [1], C. Castelluccia presented the relationships between Identity-based (ID-based) signature schemes and group signature schemes. The methods of using Identity-based signature schemes to implement group signature schemes is also described. In [2], adopting such model, S. Popescu put forth an Identity-based group signature scheme. Such ideology is rather novel and creative. However, in this paper, we show that there are some security flaws in Castelluccia's model. We also present a security analysis of Popescu's scheme and demonstrate that the scheme is insecure either.

References

[1]
C. Castelluccia, How to convert any ID-based signature schemes into a group signature scheme. http://eprint.iacr.org/2002/116/.
[2]
S. Popescu, An efficient ID-based group signature scheme. Studia Univ. Babes-Bolyai, Informatica, 2002, XLVII(2): 29-36. http://www.cs.ubbcluj.ro/~studia-i/2002-2/.
[3]
A Shamir, Identity-based cryptosystems and signature schemes. Proceedings of CRYPTO'84, LNCS 196, Springer-Verlag, 1985, pp. 47--53.
[4]
D. Chaum and E. van Heyst, Group signatures. Advances in Cryptology- EUROCRYPTO'91, Springer-Verlag, 1991, pp. 196--198.
[5]
K. Paterson, Id-based signatures from pairings on elliptic curves. Tech. Rep., IACR Cryptology ePrint Archive: Report 2002/004, http://eprint.iacr.org/2002/004/, 2002.
[6]
R. Sakai, K. Ohgishi, and M. Kasahara, Cryptosystems based on pairing. Proceedings of Symposium on Cryptography and Information Security. Japan, Okinawa, pp. 26--28, 2000.

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Published In

cover image ACM Conferences
InfoSecu '04: Proceedings of the 3rd international conference on Information security
November 2004
266 pages
ISBN:1581139551
DOI:10.1145/1046290
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 14 November 2004

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  1. ID-based signature
  2. digital signature
  3. group signature

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