Demonstrating possession of a discrete logarithm without revealing it
Proceedings on Advances in cryptology---CRYPTO '86
A digital signature scheme secure against adaptive chosen-message attacks
SIAM Journal on Computing - Special issue on cryptography
IEEE Spectrum
Zero-knowledge proofs of identity
Journal of Cryptology
A key distribution system equivalent to factoring
Journal of Cryptology
The knowledge complexity of interactive proof systems
SIAM Journal on Computing
On the theory of average case complexity
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Perfect zero-knowledge in constant rounds
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Authentication and authenticated key exchanges
Designs, Codes and Cryptography
Using encryption for authentication in large networks of computers
Communications of the ACM
Cryptography and data security
Cryptography and data security
Key Distribution Systems Based on Identification Information
CRYPTO '87 A Conference on the Theory and Applications of Cryptographic Techniques on Advances in Cryptology
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
Hiding Instances in Zero-Knowledge Proof Systems (Extended Abstract)
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
Cryptanalysis of the Chang-Wu-Chen key distribution system
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Authenticated group key agreement and friends
CCS '98 Proceedings of the 5th ACM conference on Computer and communications security
The Risks of Compromising Secret Information
ICICS '02 Proceedings of the 4th International Conference on Information and Communications Security
On the Risk of Opening Distributed Keys
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Robustness Principles for Public Key Protocols
CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology
Efficient authenticated key agreement protocol for dynamic groups
WISA'04 Proceedings of the 5th international conference on Information Security Applications
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Secure key distribution is a critical component in secure communications. Finding 'proven secure' practical key distribution systems is one of the major goals in cryptography. The Diffie-Hellman variants, a family of key distribution systems, achieve some of the objectives of this goal. In particular, the 'non-paradoxical' system (by Matsumoto-Takashima-Imai and Yacobi) is claimed to be secure against a known-key attack. In this paper we show that the argument used to prove this is flawed, and we explain how it can be fixed.