Identity-based cryptosystems and signature schemes
Proceedings of CRYPTO 84 on Advances in cryptology
Identity-Based Encryption from the Weil Pairing
SIAM Journal on Computing
Adaptive Security for Threshold Cryptosystems
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Identity-Based Encryption from the Weil Pairing
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Efficient Generation of Shared RSA Keys (Extended Abstract)
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
Generation of Shared RSA Keys by Two Parties
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Key Escrow in Mutually Mistrusting Domains
Proceedings of the International Workshop on Security Protocols
Optimal-resilience proactive public-key cryptosystems
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Efficient revocation and threshold pairing based cryptosystems
Proceedings of the twenty-second annual symposium on Principles of distributed computing
A practical scheme for non-interactive verifiable secret sharing
SFCS '87 Proceedings of the 28th Annual Symposium on Foundations of Computer Science
A threshold cryptosystem without a trusted party
EUROCRYPT'91 Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques
Secure distributed key generation for discrete-log based cryptosystems
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
Simple identity-based cryptography with mediated RSA
CT-RSA'03 Proceedings of the 2003 RSA conference on The cryptographers' track
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In this paper we apply techniques from secret sharing and threshold decryption to show how to properly design an ID-based threshold system in which one assumes no trust in any party. In our scheme: – We avoid that any single machine ever knew the master secret s of the trusted authority (TA). Instead only shares of it will be known by parties of the distributed TA and it can be seen as a virtual key. –The threshold tTA and the number of shareholders nTA used by the distributed TA do not need to be identical to the ones used by user ID. Moreover, each user ID can use its own values for the threshold ti and the number of parties ni that will acquire shares. –No single machine will ever know the secret key of the user – this means no single machine in the distributed TA and no shareholder of the user ID and not ID itself. Like Baek and Zheng suggest, such a scheme can be turned into a mediated system.