Journal of the ACM (JACM)
Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Separability and Efficiency for Generic Group Signature Schemes
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Threshold Ring Signatures and Applications to Ad-hoc Groups
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Proofs of Partial Knowledge and Simplified Design of Witness Hiding Protocols
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Efficient Group Signature Schemes for Large Groups (Extended Abstract)
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
ASIACRYPT '96 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
How to Convert any Digital Signature Scheme into a Group Signature Scheme
Proceedings of the 5th International Workshop on Security Protocols
Group Signatures for Hierarchical Multigroups
ISW '97 Proceedings of the First International Workshop on Information Security
A Practical and Provably Secure Coalition-Resistant Group Signature Scheme
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
Collision-free accumulators and fail-stop signature schemes without trees
EUROCRYPT'97 Proceedings of the 16th annual international conference on Theory and application of cryptographic techniques
EUROCRYPT'91 Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques
Universal Designated Verifier Signatures with Threshold-Signers
IWSEC '09 Proceedings of the 4th International Workshop on Security: Advances in Information and Computer Security
Ring signature scheme based on multivariate public key cryptosystems
Computers & Mathematics with Applications
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In CRYPTO2002, Bresson, Stern, and Szydlo proposed a threshold ring signature scheme. Their scheme uses the notion of fair partition and is provably secure in the random oracle model. Their scheme is efficient when the number t of signers is small compared with the number n of group members, i.e., $t={\mathcal O}(\log{n})$ (we call this scheme BSS scheme). However, it is inefficient when t is ω(logn). In this paper, we propose a new threshold ring signature scheme which is efficient when the number of signers is large compared with the number n of group members, i.e., when the number t of non-signers in the group members is small compared with n. This scheme is very efficient when $t={\mathcal O}(\log{n})$. This scheme has a kind of dual structure of BSS scheme which is inefficient when the number of signers is large compared with the number of group members. In order to construct our scheme, we modify the trap-door one-way permutations in the ring signature scheme, and use the combinatorial notion of fair partition. This scheme is provably secure in the random oracle model.