Random oracles are practical: a paradigm for designing efficient protocols
CCS '93 Proceedings of the 1st ACM conference on Computer and communications security
Entity authentication and key distribution
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
Batch exponentiation: a fast DLP-based signature generation strategy
CCS '96 Proceedings of the 3rd ACM conference on Computer and communications security
Handbook of Applied Cryptography
Handbook of Applied Cryptography
An Efficient Protocol for Authenticated Key Agreement
Designs, Codes and Cryptography
Analysis of Key-Exchange Protocols and Their Use for Building Secure Channels
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
The Gap-Problems: A New Class of Problems for the Security of Cryptographic Schemes
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
Validation of Elliptic Curve Public Keys
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
Minimizing the use of random oracles in authenticated encryption schemes
ICICS '97 Proceedings of the First International Conference on Information and Communication Security
A Key Recovery Attack on Discrete Log-based Schemes Using a Prime Order Subgroupp
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
Obtaining a secure and efficient key agreement protocol from (H)MQV and NAXOS
Designs, Codes and Cryptography
Comparing the Pre- and Post-specified Peer Models for Key Agreement
ACISP '08 Proceedings of the 13th Australasian conference on Information Security and Privacy
Strongly Secure Authenticated Key Exchange without NAXOS' Approach
IWSEC '09 Proceedings of the 4th International Workshop on Security: Advances in Information and Computer Security
An eCK-Secure Authenticated Key Exchange Protocol without Random Oracles
ProvSec '09 Proceedings of the 3rd International Conference on Provable Security
Comparing SessionStateReveal and EphemeralKeyReveal for Diffie-Hellman Protocols
ProvSec '09 Proceedings of the 3rd International Conference on Provable Security
Stronger security of authenticated key exchange
ProvSec'07 Proceedings of the 1st international conference on Provable security
Authenticated key exchange and key encapsulation in the standard model
ASIACRYPT'07 Proceedings of the Advances in Crypotology 13th international conference on Theory and application of cryptology and information security
The twin Diffie-Hellman problem and applications
EUROCRYPT'08 Proceedings of the theory and applications of cryptographic techniques 27th annual international conference on Advances in cryptology
On the importance of public-key validation in the MQV and HMQV key agreement protocols
INDOCRYPT'06 Proceedings of the 7th international conference on Cryptology in India
HMQV: a high-performance secure diffie-hellman protocol
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
ProvSec'11 Proceedings of the 5th international conference on Provable security
Characterization of strongly secure authenticated key exchanges without NAXOS technique
IWSEC'11 Proceedings of the 6th International conference on Advances in information and computer security
Sufficient condition for ephemeral key-leakage resilient tripartite key exchange
ACISP'12 Proceedings of the 17th Australasian conference on Information Security and Privacy
ICISC'11 Proceedings of the 14th international conference on Information Security and Cryptology
Exposure-resilient one-round tripartite key exchange without random oracles
ACNS'13 Proceedings of the 11th international conference on Applied Cryptography and Network Security
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We investigate a sufficient condition for constructing authenticated key exchange (AKE) protocols which satisfy security in the extended Canetti-Krawczyk (eCK) model proposed by LaMacchia, Lauter and Mityagin. To the best of our knowledge, this is the first approach for providing secure protocols based on the condition. With this condition, we propose a construction of two-pass AKE protocols, and the resulting two-pass AKE protocols are constructed with a single static key and a single ephemeral. In addition, the security proof does not require the Forking Lemma, which degrades the security of a protocol relative to the security of the underlying problem where it is used in the security proof. Therefore, these imply that the protocols constructed with the condition have an advantage in efficiency such as sizes of storage and communication data. The security of the resulting protocols is proved under the gap Diffie-Hellman assumption in the random oracle model.