Random oracles are practical: a paradigm for designing efficient protocols
CCS '93 Proceedings of the 1st ACM conference on Computer and communications security
Threshold Ring Signatures and Applications to Ad-hoc Groups
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Relations Among Notions of Security for Public-Key Encryption Schemes
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
ID-Based Blind Signature and Ring Signature from Pairings
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
1-out-of-n Signatures from a Variety of Keys
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
A Concrete Security Treatment of Symmetric Encryption
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
Short linkable ring signatures revisited
EuroPKI 2006 Proceedings of the Third European conference on Public Key Infrastructure: theory and Practice
Efficient identity based ring signature
ACNS'05 Proceedings of the Third international conference on Applied Cryptography and Network Security
Foundations of group signatures: the case of dynamic groups
CT-RSA'05 Proceedings of the 2005 international conference on Topics in Cryptology
Short linkable ring signatures for e-voting, e-cash and attestation
ISPEC'05 Proceedings of the First international conference on Information Security Practice and Experience
Separable linkable threshold ring signatures
INDOCRYPT'04 Proceedings of the 5th international conference on Cryptology in India
Identity based threshold ring signature
ICISC'04 Proceedings of the 7th international conference on Information Security and Cryptology
How to leak a secret: theory and applications of ring signatures
Theoretical Computer Science
Ring signatures: stronger definitions, and constructions without random oracles
TCC'06 Proceedings of the Third conference on Theory of Cryptography
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This paper studies the relations among several definitions of anonymity for ring signature schemes in the same attack environment. It is shown that one intuitive and two technical definitions we consider are asymptotically equivalent, and the indistinguishability-based technical definition is the strongest, i.e., the most secure when achieved, when the exact reduction cost is taken into account. We then extend our result to the threshold case where a subset of members cooperate to create a signature. The threshold setting makes the notion of anonymity more complex and yields a greater variety of definitions. We explore several notions and observe certain relation does not seem hold unlike the simple single-signer case. Nevertheless, we see that an indistinguishability-based definition is the most favorable in the threshold case. We also study the notion of linkability and present a simple scheme that achieves both anonymity and linkability.